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Sum the squares, get factorial (Posted on 2007-04-03)

Analytically determine all possible triplets (p, q, r) of positive integers that satisfy q≤r and p≤13 and p!= q²+r².

See The Solution Submitted by K Sengupta

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Non-analytical solution

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The possible triplets (p, q, r) of positive integers that satisfy q¡Âr and p¡Â13 and p!= q©÷+r©÷ are...

(2, 1, 1) 2! = 1² + 1² = 2

and

(6, 12, 24) 6! = 12² + 24² = 720

Posted by Dej Mar on 2007-04-03 16:28:51

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