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The Seventh Power (Posted on 2013-07-08) Difficulty: 1 of 5
If m is a positive integer, can m(m+1) be the 7th power of an integer?

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution spoiler | Comment 1 of 2
No way.
Any factorization like x^7=  (a*x^t ) *   (b*X^(7-t)) cannot correspond to factorization into two numbers differing by 1.

  Posted by Ady TZIDON on 2013-07-08 10:08:46
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