A proof that e is irrational - Numberphile

A Proof That The Square Root of Two Is Irrational

e (Euler's Number) - Numberphile

Why π^π^π^π could be an integer (for all we know!).

Researchers thought this was a bug (Borwein integrals)

Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile

The best A – A ≠ 0 paradox

Why is this number everywhere?

Darts in Higher Dimensions (with 3blue1brown) - Numberphile

Pi is IRRATIONAL: animation of a gorgeous proof

More on Bertrand's Paradox (with 3blue1brown) - Numberphile

What is the i really doing in Schrödinger's equation?

The Golden Ratio (why it is so irrational) - Numberphile

How Imaginary Numbers Were Invented

Why 7 is Weird - Numberphile

Does -1/12 Protect Us From Infinity? - Numberphile

Pi is IRRATIONAL: simplest proof on toughest test

All the Numbers - Numberphile

The Oldest Unsolved Problem in Math

Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations

The Langlands Program - Numberphile