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Oddly divisible (Posted on 2010-07-17) Difficulty: 3 of 5
Let S= 1^k +2^k + +n^k.
Show that S is divisible by 1+2+ +n for any integer n and odd k.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.3333 (3 votes)

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Question I do not wish to quibble, but... | Comment 2 of 5 |
S is not divisible by just any integer n and odd k. n and k should be positive.

Perhaps, do you mean
"Let S= 1^k +2^k + +n^k and let k be both odd and positive. Show that S is divisible by 1+2+ +n for any positive integer n"?

Edited on July 19, 2010, 12:39 pm
  Posted by Dej Mar on 2010-07-19 09:20:52

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