00:01
Okay, so it says the general formula for pythagorean triples is a equals m squared minus n squared, comma, b equals 2mn, and c equals m squared plus n squared.
00:13
For integers, m and n use the formula to find all primitive pythagorean triples containing 24 as one number.
00:23
So we can all, we always know that 2 times n times n is always even.
00:31
And so if m and n are both even, m and n are both even, then both m squared minus n squared and m squared are even are even.
00:59
And the triple would not be primitive.
01:11
Primitive.
01:15
Okay, so that's some information there.
01:19
So if m and n are both odd, if m and n are both, oops, are both odd, then both m squared minus n squared and m squared plus n squared are even and the triple is not primitive is we'll say again not primitive so for a primitive triple we need the following so primitive triple we need the following okay we need first m and n are one even and one odd okay and two 2.
02:33
M, oh, this is going to mess with me.
02:37
M has to be greater than n...