# Apéry's constant

Apéry's constant arises as follows: pick three positive integers at random; then the odds of
them having no common divisor are 1 in 1.202056... In 1979, the French mathematician
Roger Apéry (1916–1994) stunned the mathematical world with
a proof that this number is irrational.^{1} Whether it is a transcendental
number remains an open question. Apéry's constant is also ζ(3),
where ζ is the Riemann zeta
function.

### Reference

1. Apéry, R. "Irrationalité de ζ(2) et ζ(3)." *Astérisque*, 61: 11-13 (1979).