python Programming Glossary: primality

Finding the exponent of n = 2**x using bitwise operations [logarithm in base 2 of n]

http://stackoverflow.com/questions/2255177/finding-the-exponent-of-n-2x-using-bitwise-operations-logarithm-in-base-2-o

I am currently trying to optimize a routine Rabin Miller primality test that reduces an even number N in the forms 2 s d . I can..

AKS Primes algorithm in Python

http://stackoverflow.com/questions/347811/aks-primes-algorithm-in-python

is in P . Are there any algorithms implementing their primality test in Python I wanted to run some benchmarks with a naive.. answer no the AKS test is not the fastest way to test primality. There are much much faster primality tests that either assume.. fastest way to test primality. There are much much faster primality tests that either assume the generalized Riemann hypothesis..

Finding the nth prime number using Python

http://stackoverflow.com/questions/3885937/finding-the-nth-prime-number-using-python

2 #these are the numbers that are being tested for primality is_composite 'not prime' # will be counted by prime_count prime_count.. testing test_num test_num 1 # starts with two tested for primality and counted if so x test_num 1 #denominator for prime equation..

Sieve of Eratosthenes - Finding Primes Python

http://stackoverflow.com/questions/3939660/sieve-of-eratosthenes-finding-primes-python

your first example primes_sieve doesn't maintain a list of primality flags to strike unset as in the algorithm but instead resizes.. the second example primes_sieve1 maintains a dictionary of primality flags which is a step in the right direction but it iterates.. def primes_sieve2 limit a True limit # Initialize the primality list a 0 a 1 False for i isprime in enumerate a if isprime yield..

Checking if a number is a prime number in Python

http://stackoverflow.com/questions/4114167/checking-if-a-number-is-a-prime-number-in-python

this question There are many efficient ways to test primality and this isn't one of them . But the loop you wrote can be concisely..

Fast prime/factorization module

http://stackoverflow.com/questions/4643647/fast-prime-factorization-module

algorithm the Pollard Brent algorithm a miller rabin primality test and the fastest primesieve I found on the internet. gcd.. n precision 7 # http en.wikipedia.org wiki Miller Rabin_primality_test#Algorithm_and_running_time if n 1 or n 2 0 return False..

Proving the primality of strong probable primes

http://stackoverflow.com/questions/4752190/proving-the-primality-of-strong-probable-primes

the primality of strong probable primes Using the probabilistic version of.. in Python that implements one of the more efficient primality proving algorithms Alternatively does anyone know where I can.. of another test APRT CLE that conclusively proves primality. It verified a 291 digit prime candidate in under 10 minutes..

Twisted: Making code non-blocking

http://stackoverflow.com/questions/6117587/twisted-making-code-non-blocking

numberin . If in the meantime another user asks for the primality of a small number is there a way to run the two function calls..