# Math Help - Sums of powers in integers

1. ## Sums of powers in integers

Show that there are no integral solutions to the equation
$x^4+131=3y^4$

I've been considering this equation mod 131, so
x^4=3y^4 (mod 131)
and then I would demonstrate this is impossible.

But I cannot seem to do so, any hints please?
And thank you

2. Try looking at the equation modulo 5. There won't be any solutions.