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Square 2 Score (Posted on 2008-05-13) Difficulty: 2 of 5
P is a positive integer such that each of 2P + 1 and 3P + 1 is a perfect square.

Prove that P is divisible by 40

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

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re: Two values, no proof - Sloane sequence | Comment 3 of 5 |
(In reply to Two values, no proof by brianjn)

Using just the three terms you gave, Sloane's Integer Encyclopedia returned exactly one hit: A045502 "2n+1 and 3n+1 are squares"

The sequence continues with: 0, 40, 3960, 388080, 38027920, 3726348120, 365144087880, 35780394264160, ...


  Posted by Brian Smith on 2008-05-14 12:26:42
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