from typing import Callable, Optional, Union, Set PrimeResult = int COMPOSITE: PrimeResult PROBABLY_PRIME: PrimeResult def miller_rabin_test(candidate: int, iterations: int, randfunc: Optional[Callable[[int],bytes]]=None) -> PrimeResult: ... def lucas_test(candidate: int) -> PrimeResult: ... _sieve_base: Set[int] def test_probable_prime(candidate: int, randfunc: Optional[Callable[[int],bytes]]=None) -> PrimeResult: ... def generate_probable_prime(*, exact_bits: int = ..., randfunc: Callable[[int],bytes] = ..., prime_filter: Callable[[int],bool] = ...) -> int: ... def generate_probable_safe_prime(*, exact_bits: int = ..., randfunc: Callable[[int],bytes] = ...) -> int: ...