Largest known prime number
largest prime number that is currently known
The largest known prime number is the biggest known integer which is a prime number. To date, it equals 2136279841 − 1,[1] it would take 41,024,320 digits to write that entire number out. The number was found on October 12, 2024
A merssene prime number is when 2 is raised to the power of a prime number minus 1. This will always equal a prime number. An example would be 2 to the power of 5 is 32 - 1 = 31.
History
changeThis table lists every number that was once the largest known prime number. The first known record was from 1456. The number 524,287 was the largest known prime number for 144 years.
Mn is short for 2n − 1, the Mersenne number with exponent n.
| Prime number | Number of digits | Year found | Notes | |
|---|---|---|---|---|
| M13 | 8,191 | 4 | 1456 | Finder not known |
| M17 | 131,071 | 6 | 1460 | Finder not known |
| M19 | 524,287 | 6 | 1588 | Found by Pietro Cataldi |
| (232+1)/641 | 6,700,417 | 7 | 1732 | Found by Leonhard Euler |
| M31 | 2,147,483,647 | 10 | 1772 | Found by Leonhard Euler |
| (264+1)/274177 | 67,280,421,310,721 | 14 | 1855 | Found by Thomas Clausen |
| M127 | 170,141,183,460,469,231,731,687,303,715,884,105,727 | 39 | 1876 | Found by Édouard Lucas |
| (2148+1)/17 | 20,988,936,657,440,586,486,151,264,256,610,222,593,863,921 | 44 | 1951 | Found by Ferrier. The largest record not set by computer. |
| 180×(M127)2+1 | 79 | 1951 | Using Cambridge's EDSAC computer | |
| M521 | 157 | 1952 | ||
| M607 | 183 | 1952 | ||
| M1279 | 386 | 1952 | ||
| M2203 | 664 | 1952 | ||
| M2281 | 687 | 1952 | ||
| M3217 | 969 | 1957 | ||
| M4423 | 1,332 | 1961 | ||
| M9689 | 2,917 | 1963 | ||
| M9941 | 2,993 | 1963 | ||
| M11213 | 3,376 | 1963 | ||
| M19937 | 6,002 | 1971 | ||
| M21701 | 6,533 | 1978 | ||
| M23209 | 6,987 | 1979 | ||
| M44497 | 13,395 | 1979 | ||
| M86243 | 25,962 | 1982 | ||
| M132049 | 39,751 | 1983 | ||
| M216091 | 65,050 | 1985 | ||
| 391581×2216193−1 | 65,087 | 1989 | ||
| M756839 | 227,832 | 1992 | ||
| M859433 | 258,716 | 1994 | ||
| M1257787 | 378,632 | 1996 | ||
| M1398269 | 420,921 | 1996 | ||
| M2976221 | 895,932 | 1997 | ||
| M3021377 | 909,526 | 1998 | ||
| M6972593 | 2,098,960 | 1999 | ||
| M13466917 | 4,053,946 | 2001 | ||
| M20996011 | 6,320,430 | 2003 | ||
| M24036583 | 7,235,733 | 2004 | ||
| M25964951 | 7,816,230 | 2005 | ||
| M30402457 | 9,152,052 | 2005 | ||
| M32582657 | 9,808,358 | 2006 | ||
| M43112609 | 12,978,189 | 2008 | ||
| M57885161 | 17,425,170 | 2013 | ||
| M74207281 | 22,338,618 | 2016 | ||
| M77232917 | 23,249,425 | 2017 | ||
| M82589933 | 24,862,048 | 2018 | ||
| M136279841 | 41,024,320 | 2024 | ||
References
change- ↑ "GIMPS project discovers largest known prime number, 2136279841-1". Mersenne Research, Inc.