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improved prime_check in math modules #6044

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Jul 11, 2022
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11 changes: 7 additions & 4 deletions maths/prime_check.py
Original file line number Diff line number Diff line change
Expand Up @@ -32,12 +32,15 @@ def prime_check(number: int) -> bool:
if 1 < number < 4:
# 2 and 3 are primes
return True
elif number < 2 or not number % 2:
# Negatives, 0, 1 and all even numbers are not primes
elif number < 2 or number % 2 == 0 or number % 3 == 0:
# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
return False

odd_numbers = range(3, int(math.sqrt(number) + 1), 2)
return not any(not number % i for i in odd_numbers)
# All primes number are in format of 6k +/- 1
for i in range(5, int(math.sqrt(number) + 1), 6):
if number % i == 0 or number % (i + 2) == 0:
return False
return True


class Test(unittest.TestCase):
Expand Down