What is the fastest way to get prime numbers in python?
If you participate in competitive programming, you might be familiar with the fact that questions related to Prime numbers are one of the choices of the problem setter. Here, we will discuss how to optimize your function which checks for the Prime number in the given set of ranges, and will also calculate the timings to execute them. Show Going by definition, a Prime number is a positive integer that is divisible only by itself and 1. For example: 2,3,5,7. But if a number can be factored into smaller numbers, it is called a Composite number. For example: 4=2*2, 6=2*3 And the integer 1 is neither a prime number nor a composite number. Checking that a number is prime is easy but efficiently checking needs some effort. Method 1:
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Output: Total prime numbers in range: 9592 Time required: 60.702312707901 In the above code, we check all the numbers from 1 to 100000 whether those numbers are prime or not. It has a huge runtime as shown. It takes around 1 minute to run. This is a simple approach but takes a lot of time to run. So, it is not preferred in competitive programming. Method 2: 36=1*36 =2*18 =3*12 =4*9 ------------ =6*6 ------------ =9*4 =12*3 =18*2 =36*1 In this function, we calculate an
integer, say max_div, which is the square root of the number and get its floor value using the math library of Python. In the last example, we iterate from 2 to n-1. But in this, we reduce the divisors by half as shown. You need to import the math module to get the floor and sqrt function.
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Output: Total prime numbers in range: 9592 Time required: 0.4116342067718506 In the above code, we check all the numbers from 1 to 100000 whether those numbers are prime or not. It takes comparatively lesser time than the previous method. This is a bit tricky approach but makes a huge difference in the runtime of the code. So, it is more preferred in competitive programming. Method 3:
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Output: Total prime numbers in range: 9592 Time required: 0.23305177688598633 In the above code, we check all the numbers from 1 to 100000 whether those numbers are prime or not. It takes comparatively lesser time than all the previous methods for running the program. It is most efficient and quickest way to check for the prime number. Therefore, it is most preferred in competitive programming. Next time while attempting any question in
competitive programming, use this method for best results. Sieve Method:This method prints all the primes smaller than or equal to a given number, n. For example, if n is 10, the output should be “2, 3, 5, 7”. If n is 20, the output should be “2, 3, 5, 7, 11, 13, 17, 19”. Python3
Output: Total prime numbers in range: 9592 Time required: 0.0312497615814209 Note : Time required for all the procedures may vary depending on the compiler but the order of time required by the different methods will remain same. Reference : \https://www.geeksforgeeks.org/sieve-of-eratosthenes/ What is the efficient way to find prime number in Python?To find a prime number in Python, you have to iterate the value from start to end using a for loop and for every number, if it is greater than 1, check if it divides n. If we find any other number which divides, print that value.
What is the fastest way to find a prime number?Take a number, say, 26577. The unit digit of this number is not 0, 2, 4, 6 or 8. Now, take the sum of digits which will be: 2 + 6 + 5 + 7 + 7 = 27. Since 27 is divisible by 3, 26577 is not a prime number.
Is prime Fast Python?Function isPrime2 is faster in returning True for prime numbers. But if a number is big and it is not prime, it takes too long to return a value. First function works better with that.
How do you make a prime number in Python?In Python % modulo operator is available to test if a number is divisible by other. Assuming we have to find prime numbers between 1 to 100, each number (let us say x) in the range needs to be successively checked for divisibility by 2 to x-1. This is achieved by employing two nested loops.
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