Duffin-Schaeffer Conjecture
Additional information
James Maynard recently co-authored a proof of the Duffin-Schaeffer Conjecture.
More James Maynard on Numberphile: http://bit.ly/JamesMaynard
On the Duffin-Schaeffer conjecture - by Dimitris Koukoulopoulos and James Maynard - https://arxiv.org/abs/1907.04593