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Square and Consecutive Cubes (Posted on 2009-12-17) Difficulty: 3 of 5
N is a positive integer such that N2 is expressible as the difference of two consecutive perfect cubes, and 2N + 79 is a perfect square.

Determine the maximum value of N.

No Solution Yet Submitted by K Sengupta    
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re(2): A start! | Comment 3 of 4 |
(In reply to re: A start! by Justin)

I note that the sequence: 1,13,181,2521,35113,489061,6811741,94875313
is recorded at Sloane with reference A001770.

In the annotation, under References is the Name V. Thebault with a title that makes reference to this subject.  Unfortunately I don't understand what is there but it might offer a clue.

  Posted by brianjn on 2009-12-17 23:40:11

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