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Perfect Square To Divisibility By 56 (Posted on 2010-04-01) Difficulty: 4 of 5
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.

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: A start + a step | Comment 7 of 14 |
(In reply to A start by Jer)

Try mod7.      a must be either 0 mod 7 or +/-3 mod7.

I did , advanced a little, but still did not prove the thing.

Maybe you will... 

 


  Posted by Ady TZIDON on 2010-04-02 04:26:48
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