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Consecutive Contemplation (Posted on 2012-11-08) Difficulty: 3 of 5
Each of the n consecutive positive integers x+1, x+2, ...., x+n is expressible as the sum of squares of two distinct positive integers.

Determine the maximum value of n and prove that no higher value of n is possible.

No Solution Yet Submitted by K Sengupta    
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Not proven yet but I have a guess | Comment 1 of 6
I think the answer is 3.

What I'm having trouble proving is no two consecutive odd numbers are the sum of two distinct positive integers.



  Posted by Jer on 2012-11-08 16:35:18
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