We will go through the conditional (under the generalised Riemann hypothesis) proof of Hardy and Littlewood
that every sufficiently large odd integer is the sum of three primes.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/7671