Wilson’s Theorem

When $p$ is a prime number, $(p−1)!≡−1 \pmod p$ holds.

Euler’s Formula

$e^{iπ}+1=0$

Fermat’s Last Theorem

For any integer $n≥3$, there are no positive integer solutions $x, y, z$ to the equation $x^n+y^n=z^n$.

Basel Problem

$1/1^2+1/2^2+1/3^2+1/4^2+...=π^2/6$

Euler’s Prime-Generating Polynomial

$n^2+n+41$ is a prime number for all integers $n$ from $0$ to $39$.