def problem47():
""" Distinct primes factors
Find the first four consecutive integers to have four distinct prime factors.
What is the first of these numbers?
"""
number = 2 * 3 * 5 * 7
while True:
first_number = number
second_number = number + 1
third_number = number + 2
fourth_number = number + 3
if len(mathhelper.prime_divisor_list(fourth_number)) != 4:
number += 4
continue
if len(mathhelper.prime_divisor_list(third_number)) != 4:
number += 3
continue
if len(mathhelper.prime_divisor_list(second_number)) != 4:
number += 2
continue
if len(mathhelper.prime_divisor_list(first_number)) != 4:
number += 1
continue
return first_number
def test_prime_divisor_list(self):
self.assertEqual(list(mathhelper.prime_divisor_list(-5)), [[5]])
self.assertEqual(list(mathhelper.prime_divisor_list(-4)), [[2, 2]])
self.assertEqual(list(mathhelper.prime_divisor_list(-1)), [])
self.assertEqual(list(mathhelper.prime_divisor_list(0)), [])
self.assertEqual(list(mathhelper.prime_divisor_list(1)), [])
self.assertEqual(list(mathhelper.prime_divisor_list(2)), [[2]])
self.assertEqual(list(mathhelper.prime_divisor_list(3)), [[3]])
self.assertEqual(list(mathhelper.prime_divisor_list(4)), [[2, 2]])
self.assertEqual(list(mathhelper.prime_divisor_list(5)), [[5]])
self.assertEqual(list(mathhelper.prime_divisor_list(6)), [[2], [3]])
self.assertEqual(list(mathhelper.prime_divisor_list(12)), [[2, 2], [3]])
self.assertEqual(list(mathhelper.prime_divisor_list(30)), [[2], [3], [5]])
self.assertEqual(list(mathhelper.prime_divisor_list(-5, False)), [5])
self.assertEqual(list(mathhelper.prime_divisor_list(-4, False)), [2, 2])
self.assertEqual(list(mathhelper.prime_divisor_list(-1, False)), [])
self.assertEqual(list(mathhelper.prime_divisor_list(0, False)), [])
self.assertEqual(list(mathhelper.prime_divisor_list(1, False)), [])
self.assertEqual(list(mathhelper.prime_divisor_list(2, False)), [2])
self.assertEqual(list(mathhelper.prime_divisor_list(3, False)), [3])
self.assertEqual(list(mathhelper.prime_divisor_list(4, False)), [2, 2])
self.assertEqual(list(mathhelper.prime_divisor_list(5, False)), [5])
self.assertEqual(list(mathhelper.prime_divisor_list(6, False)), [2, 3])
self.assertEqual(list(mathhelper.prime_divisor_list(12, False)), [2, 2, 3])
self.assertEqual(list(mathhelper.prime_divisor_list(30, False)), [2, 3, 5])
