The pyprimes package offers a variety of algorithms for generating prime
numbers and fast primality tests, written in pure Python.
Prime numbers are those positive integers which are not divisible exactly
by any number other than itself or one. Generating primes and testing for
primality has been a favourite mathematical pastime for centuries, as well
as of great practical importance for encrypting data.
pyprimes includes the following features:
- Produce prime numbers lazily, on demand.
- Effective algorithms including Sieve of Eratosthenes, Croft Spiral,
and Wheel Factorisation.
- Efficiently test whether numbers are prime, using both deterministic
(exact) and probabilistic primality tests.
- Examples of what *not* to do are provided, including naive trial
division, Turner's algorithm, and primality testing using a
- Factorise small numbers into the product of prime factors.
- Suitable for Python 2.4 through 3.x from one code base.