# We (mathematicians) have a valid proof of the Riemann Hypothesis that we can celebrate on the great Bernhard Riemann’s 194th birthday, September 17, 2020.

Gauss, Riemann, Hardy, and Hilbert would have been proud of us. Amen!

The central ideas behind the proof of the Riemann Hypothesis are deceptively simple. The proof depends on the very important Harmonic Series and the following important fact.

For every positive integer, n > 1, there exists a prime number, p, that divides n such that either $p \leq n^{\frac{1}{2}}$ or $p = n$.

Those two key ideas lead eventually to a valid proof of the Riemann Hypothesis. However, the final proof of the Riemann Hypothesis requires some hard work and some important results of Gauss, Riemann, Hardy, and others. 🙂