The first two consecutive numbers to have two distinct prime factors are: 14 = 2 × 715 = 3 × 5 The first three consecutive numbers to have three distinct prime factors are: 644 = 2² × 7 × 23645 = 3 × 5 × 43646 = 2 × 17 × 19. Find the first four consecutive integers to have four distinct prime factors each. What is the first of these numbers?