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#1 2008-12-08 01:14:03
- tony123
- Full Member
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divisible by
let
integersand
prove that
divisible by ,
OR OR divisible by
#2 2008-12-08 22:23:18
- JaneFairfax
- Legendary Member
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Re: divisible by
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.
#3 2008-12-09 20:14:11
- JaneFairfax
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Re: divisible by
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 .