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.

Exploring Methods to Discover Large Prime Numbers
Digital Genius
268.5K views β€’ Apr 24, 2024
Exploring Methods to Discover Large Prime Numbers

About this video

Humans have been looking for prime numbers for a very long time. We still haven’t 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

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Views

268.5K

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5.4K

Duration

26:00

Published

Apr 24, 2024

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