import math import unittest def primeCheck(number): """ 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(primeCheck(2)) self.assertTrue(primeCheck(3)) self.assertTrue(primeCheck(5)) self.assertTrue(primeCheck(7)) self.assertTrue(primeCheck(11)) self.assertTrue(primeCheck(13)) self.assertTrue(primeCheck(17)) self.assertTrue(primeCheck(19)) self.assertTrue(primeCheck(23)) self.assertTrue(primeCheck(29)) def test_not_primes(self): self.assertFalse(primeCheck(-19), "Negative numbers are not prime.") self.assertFalse(primeCheck(0), "Zero doesn't have any divider, primes must have two") self.assertFalse(primeCheck(1), "One just have 1 divider, primes must have two.") self.assertFalse(primeCheck(2 * 2)) self.assertFalse(primeCheck(2 * 3)) self.assertFalse(primeCheck(3 * 3)) self.assertFalse(primeCheck(3 * 5)) self.assertFalse(primeCheck(3 * 5 * 7)) if __name__ == '__main__': unittest.main()