Hi
I need help with this following proof. I can't seem to prove it. I believe there is something relating to coprime in this question.
I have attached my question as i didn't know all the various commands to type it in latex.
thanks
Hi
I need help with this following proof. I can't seem to prove it. I believe there is something relating to coprime in this question.
I have attached my question as i didn't know all the various commands to type it in latex.
thanks
Well, it's kind of cheating since you need this result to prove the FTA. Since $\displaystyle p|ab$ we know that $\displaystyle ab=p\cdot p_1\cdots p_m$ and since $\displaystyle a$ and $\displaystyle b$ must be written as a product of those primes it follows that $\displaystyle p$ must be in one of them. That's roughly the cheat.