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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. New prime is 16 million digits larger than previous one. Skip to main content. 24/7 Help. For premium support please call: 800-290-4726 ...
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.
This is the tenth Mersenne prime for GIMPS. [2] On January 25, 2013, Cooper found his third Mersenne prime of 2 57,885,161 − 1. [3] On September 17, 2015, Cooper's computer reported yet another Mersenne prime, 2 74,207,281 - 1, which was the largest known prime number at 22,338,618 decimal digits. The report was, however, unnoticed until ...
A megaprime is a prime number with at least one million decimal digits. [1]Other terms for large primes include "titanic prime", coined by Samuel Yates in the 1980s for a prime with at least 1000 digits [2] (of which the smallest is 10 999 +7), [3] and "gigantic prime" for a prime with at least 10,000 digits [4] (of which the smallest is 10 9999 +33603).