Module malachite_nz::natural::factorization::primes

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An implementation of Primes, a trait for generating prime numbers.

§primes_less_than

use itertools::Itertools;
use malachite_base::num::factorization::traits::Primes;
use malachite_base::strings::ToDebugString;
use malachite_nz::natural::Natural;

assert_eq!(
    Natural::primes_less_than(&Natural::from(10u32)).collect_vec().to_debug_string(),
    "[2, 3, 5, 7]"
);
assert_eq!(
    Natural::primes_less_than(&Natural::from(11u32)).collect_vec().to_debug_string(),
    "[2, 3, 5, 7]"
);
assert_eq!(
    Natural::primes_less_than(&Natural::from(100u32)).collect_vec().to_debug_string(),
    "[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;
use malachite_base::strings::ToDebugString;
use malachite_nz::natural::Natural;

assert_eq!(
    Natural::primes_less_than_or_equal_to(&Natural::from(10u32)).collect_vec()
        .to_debug_string(),
    "[2, 3, 5, 7]"
);
assert_eq!(
    Natural::primes_less_than_or_equal_to(&Natural::from(11u32)).collect_vec()
        .to_debug_string(),
    "[2, 3, 5, 7, 11]"
);
assert_eq!(
    Natural::primes_less_than_or_equal_to(&Natural::from(100u32)).collect_vec()
        .to_debug_string(),
    "[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::conversion::traits::ConvertibleFrom;
use malachite_base::num::factorization::traits::Primes;
use malachite_base::strings::ToDebugString;
use malachite_nz::natural::Natural;

assert_eq!(
    Natural::primes().take_while(|p| u8::convertible_from(p)).collect_vec().to_debug_string(),
    "[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§