How many sets of 3 or more consecutive positive odd numbers greater than 1 exist such that all of the numbers are prime?

Out of N consecutive odd integers, at least one must be a multiple of N, so taking 3 integers, one must be a multiple of 3: the only prime multiple of 3 is 3, so the answer is 3, 5, 7.

Posted by e.g. on 2006-11-08 19:08:10