## Distinct primes factors

### Problem 47

Published on Friday, 4th July 2003, 06:00 pm; Solved by 25492

The first two consecutive numbers to have two distinct prime factors are:

14 = 2 7
15 = 3 5

The first three consecutive numbers to have three distinct prime factors are:

644 = 2² 7 23
645 = 3 5 43
646 = 2 17 19.

Find the first four consecutive integers to have four distinct prime factors. What is the first of these numbers?