Module malachite_base::num::factorization::primes

Primes, a trait for generating prime numbers.

primes_less_than

use itertools::Itertools;
use malachite_base::num::factorization::traits::Primes;

assert_eq!(u8::primes_less_than(&10).collect_vec(), &[2, 3, 5, 7]);
assert_eq!(u16::primes_less_than(&11).collect_vec(), &[2, 3, 5, 7]);
assert_eq!(
    u32::primes_less_than(&100).collect_vec(),
    &[
        2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83,
        89, 97
    ]
);

primes_less_than_or_equal_to

use itertools::Itertools;
use malachite_base::num::factorization::traits::Primes;

assert_eq!(
    u8::primes_less_than_or_equal_to(&10).collect_vec(),
    &[2, 3, 5, 7]
);
assert_eq!(
    u16::primes_less_than_or_equal_to(&11).collect_vec(),
    &[2, 3, 5, 7, 11]
);
assert_eq!(
    u32::primes_less_than_or_equal_to(&100).collect_vec(),
    &[
        2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83,
        89, 97
    ]
);

primes

use itertools::Itertools;
use malachite_base::num::factorization::traits::Primes;

assert_eq!(
    u8::primes().collect_vec(),
    &[
        2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83,
        89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179,
        181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251
    ]
);

Structs

• PrimeIndicatorSequence
  An iterator that generates bools, where the $n$th bool is true if and only if $n$ is prime. See prime_indicator_sequence for more information.
• PrimeIndicatorSequenceLessThan
  An iterator that generates bools up to a certain limit, where the $n$th bool is true if and only if $n$ is prime. See prime_indicator_sequence_less_than for more information.
• PrimesIterator
  An iterator over that generates all primes.
• PrimesLessThanIterator
  An iterator over that generates all primes less than a given value.

Functions

• prime_indicator_sequence
  Returns an iterator that generates an infinite sequence of bools, where the $n$th bool is true if and only if $n$ is prime. The first bool generated has index 1.
• prime_indicator_sequence_less_than
  Returns an iterator that generates an sequence of bools, where the $n$th bool is true if and only if $n$ is prime. The first bool generated has index 1, and the last one has index $\max(0,\ell-1)$, where $\ell$ is limit.
• prime_indicator_sequence_less_than_or_equal_to
  Returns an iterator that generates an sequence of bools, where the $n$th bool is true if and only if $n$ is prime. The first bool generated has index 1, and the last one has index limit.