prime check Algorithm
In abstract algebra, objects that behave in a generalized manner like prime numbers include prime components and prime ideals. A prime number (or a prime) is a natural number greater than 1 that is not a merchandise of two smaller natural numbers. method that are restricted to specific number forms include Pépin's test for Fermat numbers (1877), Proth's theorem (c. 1878), the Lucas – Lehmer primality test (originated 1856), and the generalized Lucas primality test.
"""Prime Check."""
import math
import unittest
def prime_check(number):
"""
Check to See if a Number is Prime.
A number is prime if it has exactly two dividers: 1 and itself.
"""
if number < 2:
# Negatives, 0 and 1 are not primes
return False
if number < 4:
# 2 and 3 are primes
return True
if number % 2 == 0:
# Even values are not primes
return False
# Except 2, all primes are odd. If any odd value divide
# the number, then that number is not prime.
odd_numbers = range(3, int(math.sqrt(number)) + 1, 2)
return not any(number % i == 0 for i in odd_numbers)
class Test(unittest.TestCase):
def test_primes(self):
self.assertTrue(prime_check(2))
self.assertTrue(prime_check(3))
self.assertTrue(prime_check(5))
self.assertTrue(prime_check(7))
self.assertTrue(prime_check(11))
self.assertTrue(prime_check(13))
self.assertTrue(prime_check(17))
self.assertTrue(prime_check(19))
self.assertTrue(prime_check(23))
self.assertTrue(prime_check(29))
def test_not_primes(self):
self.assertFalse(prime_check(-19), "Negative numbers are not prime.")
self.assertFalse(
prime_check(0), "Zero doesn't have any divider, primes must have two"
)
self.assertFalse(
prime_check(1), "One just have 1 divider, primes must have two."
)
self.assertFalse(prime_check(2 * 2))
self.assertFalse(prime_check(2 * 3))
self.assertFalse(prime_check(3 * 3))
self.assertFalse(prime_check(3 * 5))
self.assertFalse(prime_check(3 * 5 * 7))
if __name__ == "__main__":
unittest.main()
