Twin prime conjecture
Study / Research
Conjecture that there are infinitely many twin primes (primes separated by one integer).
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Videos Mentioning Twin prime conjecture

Math's Fundamental Flaw
Veritasium
Conjecture that there are infinitely many twin primes (primes separated by one integer).

Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries | Lex Fridman Podcast #190
Lex Fridman
A conjecture that there are infinitely many twin primes (primes separated by 2), which is believed to be true based on the assumption of primes being randomly distributed.

Grant Sanderson: Math, Manim, Neural Networks & Teaching with 3Blue1Brown | Lex Fridman Podcast #118
Lex Fridman
An understandable but unsolved problem in mathematics that inspired Grant Sanderson as a kid.