1. ## Pair

Hi,

p is a positive prime number. How to show that there isn't any pair(a;b) from $\mathbb{N}^2$* such as $a^2=pb^2$

2. Originally Posted by bhitroofen01
Hi,

p is a positive prime number. How to show that there isn't any pair(a;b) from $\mathbb{N}^2$* such as $a^2=pb^2$
Hint: Express $a$ and $b$ as a product of prime numbers and look at the exponent's parity.