Prove that there exist infinitely many integers n such that n, n+1, n+2 are each a sum of two squares of integers.

(In reply to Not all of them (partial spoiler) by broll)

There are other qualifying triplets that don't belong to this set.

Correct - you were not asked to list  "all of them ".

Obviously, your post qualifies as a full answer.

Posted by Ady TZIDON on 2016-02-09 21:34:26