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

(In reply to re(3): Solution (slight correction) by Federico Kereki)

(x-10)(x-78) is factorable, while the quadratics in the problem aren't. But I've realized that even if it's not factorable, it doesn't necessarily mean it can't equal a composite number.

Gotta work more on it.

Posted by np_rt on 2004-10-02 10:38:36