8 releases
0.3.2 | Jun 7, 2024 |
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0.3.1 | Aug 15, 2022 |
0.3.0 | Jun 18, 2020 |
0.2.4 | Aug 22, 2017 |
0.2.2 | Jun 9, 2015 |
#2068 in Math
16,787 downloads per month
Used in 81 crates
(2 directly)
19KB
478 lines
primal
primal
puts raw power into prime numbers.
This crates includes
- optimised prime sieves
- 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 state-of-the-art cache-friendly Sieve of Eratosthenes to enumerate the primes up to some fixed bound (in a memory efficient manner), and then allows this cached information to be used for things like enumerating and counting primes.
primal
takes around 2.8 seconds and less than 3MB of RAM to
count the exact number of primes below 1010 (455052511)
on the author's laptop (i7-3517U).
lib.rs
:
A very simple bit-vector that serves the needs of primal
.
Dependencies
~18KB