# My tittle is: Don't change my tittle.

**Number Theory**Level 3

Which stament(s) below is/are true?:

a) \(\forall p > 2,\) with \(p\) a prime number, the diophantine equation \[p = x^2 - y^2\] has at least one solution,i.e, \(\exists \space x, y \in \mathbb{Z}\) such that \(p = x^2 - y^2\)

b) The diophantine equation \( 2 = x^2 - y^2\) has at least one solution, i, e, \(\exists \space x, y \in \mathbb{Z}\) such that \[2 = x^2 - y^2\]