An introduction to the Twin Prime Conjecture and sieve methods, one of the most beautiful branches of modern number theory. ONLINE COURSE: I'm teaching an online course about group theory. This is a 6-week live online course with weekly live calls, problem sets, and a supportive online discord community to learn along like-minded people. If you're interested, fill out the form below and I'll let you know when it's ready! A HUGE thank you to Lasse Grimmelt (a post-doctoral researcher at Cambridge who previously worked with James Maynard) for interviewing for this video and for fact checking the script / video draft. PATREON: Help fund future projects: An equally valuable form of support is to simply share the videos. Follow me on twitter! (@00aleph00) MUSIC CREDITS: The song is “Taking Flight”, by Vince Rubinetti.