Let k be a positive integer.
Prove that there must exist a positive integer n such that the sets
A( A={1^2, 2^2, 3^2, . . . }) and B ( B = {1^2+n, 2^2+n, 3^2+n, . . . }) share exactly k identical members.

(In reply to solution by Paul)

Nice work, Paul

Posted by Steve Herman on 2017-02-17 09:50:32