The Ternary Goldbach Conjecture
Harald Helfgott, a friend of SymOmega, has only yesterday uploaded an article on the arxiv claiming a proof of the “Ternary Goldbach Conjecture”:
Every odd integer is the sum of three primes.
This is big news in number theory since it is one of the best results on the Goldbach Conjecture to date. The “Ternary GC” also had its origins in the letters of Goldbach and Euler in 1742, and is sometimes referred to as Goldbach’s weak conjecture, since if every even number greater than 4 is the sum of two primes, then by adding the number 3 to the two primes will result in every odd number greater than 5 being the sum of three primes.