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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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re: What's a triangular number? | Comment 2 of 11 |
(In reply to What's a triangular number? by Bryan)

Triangular numbers are 1, 1+2, 1+2+3, 1+2+3+4, 1+2+3+4+5, and so on; the n-th number is ½n(n+1).
  Posted by Federico Kereki on 2004-10-26 17:08:13

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