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 \(39\).