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Short and sweet (Posted on 2011-02-21) Difficulty: 3 of 5
Let n be any natural number whose square is also the difference between two consecutive cubes.

Prove that 2n-1 is also a square.

See The Solution Submitted by broll    
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re: spoiler | Comment 2 of 4 |
(In reply to spoiler by xdog)

Very neat. There are a few other amazing consequences as well; I'll post another problem later if I can make it interesting/challenging enough.
  Posted by broll on 2011-02-25 04:05:28

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