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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 solution Comment 2 of 2 |
m and m+1 can have no common factors, so m and m+1 would individually have to be 7th powers. But two consecutive numbers can't both be 7th powers, except for the trivial case 0^7 and 1^7, and zero is not a positive integer.
  Posted by Charlie on 2013-07-08 13:53:23
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