Exploring Methods to Discover Large Prime Numbers
Humans have been searching for prime numbers for centuries. While a definitive formula for generating prime numbers remains elusive, we have developed various techniques to identify very large primes.

Digital Genius
268.5K views β’ Apr 24, 2024

About this video
Humans have been looking for prime numbers for a very long time. We still havenβt found the formula for generating prime numbers. However, we have developed methods to discover increasingly larger primes.
Chapters:
00:00 The largest prime
00:37 Infinite number of primes
02:38 Sieve of Eratosthenes
03:14 Sieve of Atkin
04:46 Fermat's Little Theorem
06:10 Miller-Rabin test
09:18 AKS primality test
10:05 Mersenne Primes
11:43 Perfect Numbers
13:50 Lucas-Lehmer primality test
15:15 Intro to Group Theory
19:15 Lucas-Lehmer test proof
24:44 GIMPS
Chapters:
00:00 The largest prime
00:37 Infinite number of primes
02:38 Sieve of Eratosthenes
03:14 Sieve of Atkin
04:46 Fermat's Little Theorem
06:10 Miller-Rabin test
09:18 AKS primality test
10:05 Mersenne Primes
11:43 Perfect Numbers
13:50 Lucas-Lehmer primality test
15:15 Intro to Group Theory
19:15 Lucas-Lehmer test proof
24:44 GIMPS
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Video Information
Views
268.5K
Likes
5.4K
Duration
26:00
Published
Apr 24, 2024
User Reviews
4.7
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