Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
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And what if the two perfect squares must be nonzero, positive, and different?

For most puzzles, in addition to sudden intuition, internet searches and software programs, there is a fourth and much more gratifying method of solution: work it out by methodical logic. I can honestly say that that was how I solved "Word Ladder Construction", "Mix and Match" "Sequence Fill In", "A Timely Manner", "Conversing Club" and "Shakespeare's Numbers". On another website, I wrote a movie review that solved the riddles of the enigmatic 2003 film "Swimming Pool" - I am particularly happy about that feat, since not a few professional movie reviewers were stumped by it.

Edited on January 20, 2004, 5:07 pm

Posted by Penny on 2004-01-20 15:55:07