Thread: congruence question

Prove that the congruence
(x^2 - 2)(x^2 - 17)(x^2 - 34) = 0 (mod p)
has a solution for every prime p.

No idea how to do this, can anyone help?

Originally Posted by johndoe3344

Prove that the congruence
(x^2 - 2)(x^2 - 17)(x^2 - 34) = 0 (mod p)
has a solution for every prime p.

No idea how to do this, can anyone help?

If or then we're done.

Otherwise