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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).
The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.
Mersenne primes are a rare kind of number, making Durant’s finding of the 52nd known Mersenne prime even more impressive. A number is only considered a Mersenne prime if it can be written in the ...
A prime number (or prime) is a ... A different computation found that there are 18,435,599,767,349,200,867,866 primes (roughly 2 ... Largest known prime number;
New prime is 16 million digits larger than previous one
Jon Pace, a flight operations finance manager, is credited with discovering the largest prime number currently known. It’s 23.2 million digits long.
Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin Mersenne, are prime numbers that can be expressed as 2 p − 1 for some positive integer p. For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1.
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.