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The largest known prime number is 2 136,279,841 − 1, a number which has 41,024,320 digits when written in the decimal system. It was found on October 12, 2024, on a cloud-based virtual machine volunteered by Luke Durant, a 36-year-old researcher from San Jose, California, to the Great Internet Mersenne Prime Search (GIMPS).
Largest known primes [ edit ] These numbers have been proved prime by computer with a primality test for their form, for example the Lucas–Lehmer primality test for Mersenne numbers . “!” is the factorial , “#” is the primorial , and Φ 3 ( x ) {\displaystyle \Phi _{3}(x)} is the third cyclotomic polynomial , defined as x 2 + x + 1 ...
As of 2024, there are 52 known Mersenne primes. The 13th, 14th, and 52nd have respectively 157, 183, and 41,024,320 digits. ... Largest known prime number; List of ...
Former Nvidia programmer Luke Durant’s search led to the groundbreaking discovery of the world’s largest known prime number in nearly six years. ... November 1, 2024 at 11:35 AM.
New prime is 16 million digits larger than previous one
Many of the largest known primes are Mersenne primes because Mersenne numbers are easier to check for primality. As of 2024, 52 Mersenne primes are known. The largest known prime number, 2 136,279,841 − 1, is a Mersenne prime.
As of October 2024, the project has found a total of eighteen Mersenne primes, sixteen of which were the largest known prime number at their respective times of discovery. The largest known prime as of October 2024 is 2 136,279,841 − 1 (or M 136,279,841 for short) and was discovered on October 12, 2024, by Luke Durant.
For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1. [ 1 ] [ 2 ] The exponents p corresponding to Mersenne primes must themselves be prime, although the vast majority of primes p do not lead to Mersenne primes—for example, 2 11 − 1 = 2047 = 23 × 89 .