Discovery of New Mersenne Prime Number - Mathematical Tests and Perfect Numbers

Explore the discovery of the latest Mersenne prime number in this 13-minute mathematics video that delves into the fascinating world of prime numbers. Learn about the groundbreaking discovery of 2^136279841-1, a massive prime number spanning over 41 million digits, first identified in Dublin and confirmed in San Antonio. Understand the intricacies of the Great Internet Mersenne Prime Search (GIMPS), discover the significance of perfect numbers, and master the mathematical concepts behind primality testing methods including the probabilistic Fermat primality test and the Lucas-Lehmer test. Progress through a structured exploration of Mersenne primes, various primality tests, and their applications in modern mathematics.