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Possible Duplicate:
Pythagorean Triplets with “Bounds”

I typed following equations in into Wolfram Alpha -

$$a^2 + b^2 = c^2\\ a+b+c=1000 $$

It showed me multiple possible integer solutions and also shows the total number of integer solutions.

How is this done? Could I calculate total number of solutions without actually solving for all those solutions?

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    Just found : http://math.stackexchange.com/questions/179997/pythagorean-triplets-with-bounds2012-12-19

1 Answers 1