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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 to the Great Internet Mersenne Prime Search (GIMPS).
1861209×2 6789999 + 1 2 December 2020 2,044,000 310 5817×2 6789459 – 1 9 January 2021 2,043,835 311 8435×2 6786180 – 1 7 January 2021 2,042,848 312 51×2 6753404 + 1 26 May 2020 2,032,979 313 93×2 6750726 + 1 18 September 2023 2,032,173 314 69×2 6745775 + 1 21 March 2023 2,030,683 315 9995×2 6711008 – 1 31 December 2020 2,020,219 ...
By 1772, Leonhard Euler had proven that 2,147,483,647 is a prime. The number 2147483647 is the eighth Mersenne prime, equal to 2 31 − 1. It is one of only four known double Mersenne primes. [1] The primality of this number was proven by Leonhard Euler, who reported the proof in a letter to Daniel Bernoulli written in 1772. [2]
A number is only considered a Mersenne prime if it can be written in the form 2ᵖ-1. Unlike other large prime numbers used in some applications to protect internet security, Mersenne primes are ...
Pages for logged out editors learn more. ... For n ≥ 2, write the prime factorization of n in base 10 and concatenate the ... "New Largest Known Prime Number".
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.
That is, it is a prime number of the form M n = 2 n − 1 for some integer n. They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. If n is a composite number then so is 2 n − 1. Therefore, an equivalent definition of the Mersenne primes is that they are the prime numbers of the form M p = 2 p ...