This video is all about the Bernoulli numbers, covering:
•The discovery of the Bernoulli numbers
•Multiple definitions for both signs of Bernoulli numbers
•Kummer's congruences
•The Agoh-Giuga conjecture
•Ada Lovelace and the analytical machine
•Ada Lovelace's formula
•The connection to the Riemann Zeta function
•Ramanujan's congruences for Bernoulli numbers
•Bell numbers
This video was written by Alistair Forsyth as part of the series “Discrete Calculus with the Wolfram Language”.