## Semiprimes

### Problem 187

Published on Saturday, 22nd March 2008, 09:00 am; Solved by 5844

A composite is a number containing at least two prime factors. For example, 15 = 3 5; 9 = 3 3; 12 = 2 2 3.

There are ten composites below thirty containing precisely two, not necessarily distinct, prime factors: 4, 6, 9, 10, 14, 15, 21, 22, 25, 26.

How many composite integers, n 108, have precisely two, not necessarily distinct, prime factors?