# Thread: Theorem 1 - part 1

1. ## Theorem 1 - part 1

I've seen pretty much the same description at the page A theorem of number theory.

I'm having trouble understanding that theorem ; the first examples that comes to mind is a=12, b=3, b=4 so that none of the parts make sense to me.

I also don't get the proof of the first part as to me a should be bigger than b or c so that s and t should be a fraction (ie: 2/3), not an integer.

I'm really stuck there and in a rush preparing for an exam
Thank you kindly for your help

2. I think you may misunderstand the notation.

$\displaystyle a|b$ means that $\displaystyle \frac{b}{a}$ is an integer. i.e there is an integer k such that $\displaystyle a \cdot k =b$

3. Originally Posted by TheEmptySet
I think you may misunderstand the notation.

$\displaystyle a|b$ means that $\displaystyle \frac{b}{a}$ is an integer. i.e there is an integer k such that $\displaystyle a \cdot k =b$
I now see that TheEmptySet was right.

I was seeing it reversed and made no sense. I knew the chance of having such an important error in a book revised 3 times by numerous important people was quite unlikely but wasn't understanding why. I though I was going to have to learn that section by heart ...

Thanks