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Triangular Coordinates (Posted on 2004-10-26) Difficulty: 3 of 5
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

No Solution Yet Submitted by Victor Zapana    
Rating: 2.6667 (3 votes)

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Reference | Comment 10 of 11 | 

This is the same as 1988 Putnam Problem B.6, and Old Original Oskar!'s solution is the same as the one given at the end of this reference. There is also a note at the very end that gives a characterization of all the possible "triangular pairs" (m,n)

  Posted by Richard on 2004-10-27 04:49:38
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