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 Perfect Square To Divisibility By 56 (Posted on 2010-04-01)
N is a positive integer such that each of 3*N + 1 and 4*N + 1 is a perfect square.

Is N always divisible by 56?

If so, prove it. Otherwise, give a counterexample.

 Submitted by K Sengupta Rating: 4.0000 (1 votes) Solution: (Hide) N is always divisible by 56 for all values of N that satisfy the given conditions. For an explanation, refer to the solution submitted by Harry in this location.

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 Subject Author Date re: my bad broll 2010-04-06 15:32:36 re: Does this explain why 7 is a factor of n? Jer 2010-04-06 10:18:02 Does this explain why 7 is a factor of n? broll 2010-04-04 04:09:42 Solution (Spoiler) Harry 2010-04-04 00:18:59 re: Modular arithmetic Harry 2010-04-03 21:23:59 re: Modular arithmetic Steve Herman 2010-04-03 14:49:34 Modular arithmetic Brian Smith 2010-04-02 23:05:04 re: A start + a step Ady TZIDON 2010-04-02 04:26:48 re: Now, four values Charlie 2010-04-01 23:07:13 Now, four values Brian Smith 2010-04-01 20:55:46 Once more into the fray... ed bottemiller 2010-04-01 16:06:15 A start Jer 2010-04-01 15:26:23 Nem Con ed bottemiller 2010-04-01 13:27:16 starting with one sample Ady TZIDON 2010-04-01 11:41:27

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