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Perfect Square To Divisibility By 56 (Posted on 20100401) 

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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