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Divisible by 3. (Posted on 2012-12-02) Difficulty: 2 of 5
Let p and q be two different prime numbers greater than 3.Prove that if their difference is 2^n, then for any two integers n and m,the number S=p^(3m+1)+q^(2m+1) is divisible by 3.

Let p and q be two different prime numbers greater than 3.
Prove that if their difference is 2n, then for any two integers n and m,
the number S = p(3m+1) + q(2m+1) is divisible by 3.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Confusing problem | Comment 4 of 5 |
(In reply to Confusing problem by Math Man)

Mathman,

In fairness to Danish, n does appear, as the power of 2.

Otherwise, I agree that there appear to be counter-examples, as the puzzle now stands.


  Posted by broll on 2012-12-02 23:41:23
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