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**tony123****Member**- Registered: 2007-08-03
- Posts: 192

let

integersand

prove that

divisible by , OR OR divisible by

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Pythagorean triples are of the form

where

are positive integers with .If one or both of *m* and *n* are even, then *C* is divisible by 4; otherwise they are both odd and so *B* would be divisible by 4.

And in this thread

http://www.mathisfunforum.com/viewtopic.php?id=11085

it is proved that 60 divides the product *ABC*, i.e. 5 (a prime) divides one of *A*, *B*, *C*.

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

I slightly got ahead of myself there. I meant to say that if

and are both odd, then would be even and so would be divisible by .Offline

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