slow_primes

Slow prime-related algorithms

APACHE-2.0 License

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Deprecated in favour of primal.

slow_primes

Extremely simplistic and relatively unoptimised handling of basic tasks around primes:

  • checking for primality
  • enumerating primes
  • factorising numbers
  • estimating upper and lower bounds for π(n) (the number of primes
    below n) and pk (the kth prime)

This uses a basic Sieve of Eratosthenes to enumerate the primes up to some fixed bound (in a relatively memory efficient manner), and then allows this cached information to be used for things like enumerating the primes, and factorisation via trial division.

(Despite the name, it can sieve the primes up to 109 in about 5 seconds.)

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