MathCastle
Number TheorySuperchallengeFermat, Euler and Wilson

Fermat, Euler and Wilson · Superchallenge problem

How many ordered triples (x,y,z)(x, y, z) of integers with 0≤x,y,z≤120 \le x, y, z \le 12 satisfy x6+y6+z6≡0(mod13)x^6 + y^6 + z^6 \equiv 0 \pmod{13}?