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Perfect Square To Divisibility By 56 (Posted on 2010-04-01) |
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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.
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Submitted by K Sengupta
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Rating: 4.0000 (1 votes)
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Solution:
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(Hide)
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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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