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

(In reply to Trivial by e.g.)

"Out of N consecutive odd integers, at least one must be a multiple of N," is false for sure whenever N is even, and you have not even proved it for N=3. Perhaps this is not quite as trivial as you think, and also note that  it is labeled with a difficulty rating of only D1.

After the experience with my last problem, I thought something simpler might get a better play, and it has to some extent anyway.

Posted by Richard on 2006-11-08 23:21:22