Number Theory
Topics related to integer patterns and primes
Why do prime numbers make these spirals?A curious pattern in polar plots with prime numbers, together with discussion of Dirichlet's theorem
All possible pythagorean triples, visualizedThere are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses complex numbers in a clever way.
Pi hiding in prime regularitiesA beautiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact, there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
The Prime Number Race [Numberphile]A race between two types of prime numbers - and an unexpected result.