If the first case of Fermat's last theorem is false for the prime exponent , then .
Mirimanoff's Congruence
See also
Fermat's Last TheoremExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Mirimanoff's Congruence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MirimanoffsCongruence.html