## Euler's Criterion

For discussing Olympiad Level Number Theory problems
jayon_2
Posts: 7
Joined: Sat Feb 11, 2017 4:06 pm

### Euler's Criterion

$$A \equiv X^2$$ (mod $$N$$) then find all the integer solutions of $$X$$

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: Euler's Criterion

What is the value of A?

Ragib Farhat Hasan
Posts: 62
Joined: Sun Mar 30, 2014 10:40 pm

### Re: Euler's Criterion

What are the values of $A$ and $N$?

Usually, $N$ is considered to be the symbol of "Natural Numbers".

But in this case, which Natural number?

Ragib Farhat Hasan
Posts: 62
Joined: Sun Mar 30, 2014 10:40 pm

### Re: Euler's Criterion

Don't post such half-detailed problems, if you're really hoping for a solution to be posted.