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Triangular Triangulation (Posted on 2014-08-30) Difficulty: 3 of 5
Define T(N) as the Nth triangular number.

Each of X and Y is a positive integer such that:
Each of T(X)+T(Y) and X+Y is a triangular number.

Does there exist an infinite number of pairs (X,Y) that satisfy the given conditions? Give reasons for your answer.

No Solution Yet Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): As many as you want.broll2014-09-02 01:49:43
re: As many as you want.Harry2014-09-01 22:14:14
Some ThoughtsAs many as you want.broll2014-08-31 06:02:40
Some ThoughtsThey do seem to keep on coming -- no proof either wayCharlie2014-08-30 14:46:28
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