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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.
The number n is a strong probable prime ... The PRP Top 10000 (the largest known probable primes) References This page was last edited on 22 April 2024 ...
Largest known prime number
List of prime numbers
Safe and Sophie Germain primes
PrimePages. The PrimePages is a website about prime numbers originally created by Chris Caldwell at the University of Tennessee at Martin [ 2] who maintained it from 1994 to 2023. The site maintains the list of the "5,000 largest known primes", selected smaller primes of special forms, and many "top twenty" lists for primes of various forms.
As of 2024, it is known that F n is composite for 5 ≤ n ≤ 32, although of these, complete factorizations of F n are known only for 0 ≤ n ≤ 11, and there are no known prime factors for n = 20 and n = 24. [5] The largest Fermat number known to be composite is F 18233954, and its prime factor 7 × 2 18233956 + 1 was discovered in October 2020.
In February 2023, 104824 5 + 5 104824 (73269 digits) was proven to be prime, [5] and it was also the largest prime proven using ECPP, until three months later a larger (non-Leyland) prime was proven using ECPP. [6] There are many larger known probable primes such as 314738 9 + 9 314738, [7] but it is hard to prove primality of large Leyland ...