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#1 2008-12-07 02:14:03

tony123
Member
Registered: 2007-08-03
Posts: 189

divisible by

let

integers

and

prove that

divisible by
,

OR
OR
divisible by

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#2 2008-12-07 23:23:18

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

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.


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

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#3 2008-12-08 21:14:11

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

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
.


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

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