Math Is Fun Forum

tony123

Member

Registered: 2007-08-03

Posts: 230

divisible by

let

integers

and

prove that

divisible by

,

OR

OR

divisible by

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.

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

.