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Summing Squares Sequentially! (Posted on 2004-10-01) Difficulty: 3 of 5
Show that if you sum 9999 consecutive squares, the result cannot be a perfect power.

See The Solution Submitted by Old Original Oskar!    
Rating: 2.0000 (2 votes)

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re(3): Solution (slight correction) | Comment 5 of 10 |
(In reply to re(2): Solution (slight correction) by np_rt)

I still don't get it... if the quadratic was (x-10)(x-78), then for x=111 the product *would* be a multiple of 101 and 33, while the product of the roots themselves (10x78) isn't.
  Posted by Federico Kereki on 2004-10-01 16:11:28

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