programming python

Hướng dẫn first 100 prime numbers python - 100 số nguyên tố đầu tiên python

Bạn có thể sử dụng sàng của Eratosthenes để tìm các số nguyên tố n đầu tiên:

def primes_upto[limit]:
    prime = [True] * limit
    for n in range[2, limit]:
        if prime[n]:
            yield n # n is a prime
            for c in range[n*n, limit, n]:
                prime[c] = False # mark composites

Để có được 100 số nguyên tố đầu tiên:

>>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]

Để tìm các số nguyên tố n đầu tiên, bạn có thể ước tính số nguyên tố N-th [để vượt qua giới hạn trên như giới hạn] hoặc sử dụng trình tạo số nguyên tố vô hạn và nhận được nhiều số như bạn cần, ví dụ, sử dụng list[itertools.islice[gen, 100]].

Xem thảo luận

Cải thiện bài viết

Lưu bài viết

  • Đọc
  • Bàn luận

    • Xem thảo luận

    Cải thiện bài viết

    Lưu bài viết

    Đọc
    Examples: 

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5

    Bàn luận  

    • Đưa ra một số n, nhiệm vụ là in các số nguyên tố từ 1 đến n.examples: & nbsp;
    • Thuật toán: & nbsp;
    • Đầu tiên, lấy số N làm đầu vào.

    Sau đó sử dụng một vòng lặp để lặp lại các số từ 1 đến n  Now, according to formal definition, a number ‘n’ is prime if it is not divisible by any number other than 1 and n. In other words a number is prime if it is not divisible by any number from 2 to n-1.

    Sau đó kiểm tra xem mỗi số là một số nguyên tố. Nếu nó là một số nguyên tố, in nó.

    C++

    #include

    Cách tiếp cận 1: & nbsp; Bây giờ, theo định nghĩa chính thức, một số ’n, là nguyên tố nếu nó không chia hết cho bất kỳ số nào khác ngoài 1 và n. Nói cách khác, một số là số nguyên tố nếu nó không chia hết cho bất kỳ số nào từ 2 đến N-1.

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    3 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    6

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    0

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    9

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    2

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    5

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    9

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    7

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    9n0
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 n6

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    C

    n8

    n9

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    3 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    6

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    0

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    9

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    2

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    5

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    9

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    7

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    16
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    18
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    19

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 n6

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    C

    Java

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    26 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    27

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    29
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    31 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    34

    Các

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50____
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    51

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    52
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    54
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    40
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    74

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    69 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    71 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    72

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    77
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    79

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    89

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    52
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    91n0
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    93

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Python3

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    86

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    01 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    02

    Các

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    20
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    21 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    222227
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50________
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    25

    Các

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    40

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    57

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    59
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    60
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06n0
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41

    C#

    Is

    Java

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    26 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    27

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    29
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    31 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    34

    Các

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50____
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    51

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    52
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    54
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    40
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    74

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    69 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    71 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    72

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    77
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    79

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    89

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    18
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    19n0
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    21

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    86

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    01 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    02

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    29

    Các

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    20
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    21 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    222227
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50________
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    25

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    Các

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    52
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    54
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    40
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    69 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    71 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    72

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    77
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    79

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    72

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    76

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    86

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    01 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    02    O[N^2], 

    CácO[1]

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17    :  For checking if a number is prime or not do we really need to iterate through all the number from 2 to n-1? We already know that a number ‘n’ cannot be divided by any number greater than ‘n/2’. So, according to this logic we only need to iterate through 2 to n/2 since number greater than n/2 cannot divide n.

    C++

    #include 

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    20
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    21 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    222227
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50________
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    25

    Các

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    40

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    5

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    9

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    19

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    89

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    9n0
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 n6

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Java

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    26 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    27

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    29
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    31 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    34

    Các

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    60
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    62

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    54
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    40
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    69 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    71 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    72

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    74

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    77
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    79

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    86

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    89

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    18
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    91n0
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    93

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Python3

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    01 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    02

    Các

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    20
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    21 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2222727____150
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    36
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    37
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    37____150
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    525
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    14

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    05
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    29
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    30
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    40
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    14

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    40

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    20
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    21 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    222
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    51
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    5225
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    14

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    57

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    59
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    60
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06n0
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41

    C#

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    0 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    65

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    26 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    27

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    29
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    31 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    34

    Các

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    60
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    62

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    54
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    40
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    69 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    71 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    72

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    74

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    77
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    79

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    19

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    89

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    19n0
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    21

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    86

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    29

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    01 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    02

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6n55

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    Các

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    n71

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6n73

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9n77

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1n81n0
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    93

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    76

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    20
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    21 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2222727____150
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    36
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    37
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    37____150
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    525
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    14    O[N2], 

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17    O[1],since no extra space has been taken.

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    40    If a number ‘n’ is not divided by any number less than or equals to the square root of n then, it will not be divided by any other number greater than the square root of n. So, we only need to check up to the square root of n.

    C++

    #include 

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    20
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    21 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    222
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    51
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    5225
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    14

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    0 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    65

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    87
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    3 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    34

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    29
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    95
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    5

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    9

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    19

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    69 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    71 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    72

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    9n0
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 n6

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Java

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    26 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    27

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    29
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    31 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    34

    Các

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    60
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    50
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    62

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    3
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    54
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    40
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    69 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    71 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    72

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    74

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    77
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    79

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    49
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    86

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    89

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    91n0
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    93

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Python3

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    01 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    02

    Các

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    Các

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    05
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    29
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    30
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    40
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    14

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    17

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    40

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    41
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    78
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    20
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    21 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    222
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    51
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    5225
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    38
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    14

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    57

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    59
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    60
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    06n0
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    41

    C#

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    0 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    65

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    26 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    27

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    87
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    3 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    4
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    34

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    29
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    95
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 n06

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9n06
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    69 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    30 
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    71 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    04

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    74

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    09

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    7
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    5 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    19

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    89

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    1
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    19n0
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    21

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    JavaScript

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    29

    #include 54

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9#include 57
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6#include 63

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    2
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    3
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    8
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    2 
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    1
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    4

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03n71

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    6#include 84

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    7

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    9
    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    89

    >>> list[primes_upto[542]]
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, ... ,
 499, 503, 509, 521, 523, 541]
    35#include 91

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    35
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    8

    Input: N = 10
Output: 2, 3, 5, 7

Input: N = 5
Output: 2, 3, 5
    03
    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
    76

    Đầu ra

    2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

    Độ phức tạp về thời gian: O [n^[3/2]], O[N^[3/2]],

    Không gian phụ trợ: O [1]O[1]

    Bạn có thể tối ưu hóa thêm độ phức tạp thời gian thành O [N*log [log [n]]]. Kiểm tra eratosthenes.O[n*log[log[n]]]. CheckSieve of Eratosthenes.


    Làm thế nào để bạn tìm thấy 100 số nguyên tố đầu tiên trong Python?

    Để tìm N số nguyên tố đầu tiên, bạn có thể ước tính số nguyên tố N [để vượt qua giới hạn trên dưới dạng giới hạn] hoặc sử dụng trình tạo số nguyên tố vô hạn và nhận được nhiều số như bạn cần, ví dụ, sử dụng danh sách [itertools.islice [gen, gen, 100]]. Lưu câu trả lời này.list[itertools. islice[gen, 100]] . Save this answer.

    Làm thế nào để bạn in 100 số nguyên tố đầu tiên?

    Algorithm..
    Bước 1: Bắt đầu ..
    Bước 2: Đặt CT = 0, n = 0, i = 1, j = 1 ..
    Bước 3: Lặp lại bước 4 đến bước 11 cho đến khi n
    Bước 4: Đặt J = 1 ..
    Bước 5: Đặt CT = 0 ..
    Bước 6: Lặp lại Bước 7 đến Bước 8 cho đến khi J
    Bước 7: Nếu i%j = = 0 thì ct = ct +1 ..
    Bước 8: J = J + 1 ..

    Làm thế nào để bạn có được số nguyên tố đầu tiên trong Python?

    Đầu vào câu hỏi và mẫu: number_of_digits = int [input []] prime = 0 Count = 0 for num trong phạm vi [1, number_of_digits]: đã cho_input = int [input []]% b == 0]: đếm + = 1 khác: Prime = prime + cho infor_input break in [nguyên tố] `` `lỗi trong mã của tôi là gì !?prime = prime + given_input break print[prime] ``` what is the error in my code!?

    Làm thế nào để bạn tìm thấy số nguyên tố trong Python?

    Chúng ta có thể đã sử dụng phạm vi, phạm vi [2, num // 2] hoặc phạm vi [2, math.floor [math.sqrt [num] +1]].Phạm vi thứ hai dựa trên thực tế là một số tổng hợp phải có hệ số nhỏ hơn hoặc bằng căn bậc hai của số đó.Nếu không, số là số nguyên tố.range[2,math.floor[math.sqrt[num]+1]] . The latter range is based on the fact that a composite number must have a factor less than or equal to the square root of that number. Otherwise, the number is prime.

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