Prove that there are an infinite number of distinct ordered pairs (m, n) of integers such that, for every positive integer t, the number mt + n is a triangular number if and only if t is a triangular number as well

(In reply to What's this? by Tristan)

I guess Victor Zapana should sue "The Queue." Those of us besides O^3! who worked on this one should too.  Nothing like having the double advantage of seeing the problem ahead of its publication and also seeing the correct statement of it.

~Richard at 1:43 p.m. Hawaiian Standard Time (6 hours behind Eastern Daylight Time) and ??? time according to the perplexus site clock

Edited to get the perplexus site's editing time stamp-- it's 1:47 p.m. here in Hawaii and 7:47 in New York. 

Edited on October 26, 2004, 11:23 pm

Posted by Richard on 2004-10-26 23:20:17