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29 changes: 29 additions & 0 deletions maths/basic_maths.py
Original file line number Diff line number Diff line change
Expand Up @@ -116,6 +116,35 @@ def euler_phi(n: int) -> int:
return int(s)


def is_prime(n: int) -> bool:
"""Checks if a number is prime.

Source: https://en.wikipedia.org/wiki/Prime_number

>>> is_prime(11)
True
>>> is_prime(15)
False
>>> is_prime(1)
False
>>> is_prime(0)
False
>>> is_prime(2)
True
"""
if n <= 1:
return False
if n in {2, 3}:
return True
if n % 2 == 0 or n % 3 == 0:
return False
for i in range(5, int(math.sqrt(n)) + 1, 6):
if n % i == 0 or n % (i + 2) == 0:
return False

return True


if __name__ == "__main__":
import doctest

Expand Down