Show that if you sum 9999 consecutive squares, the result cannot be a perfect power.

(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