Largest known prime number
The largest known prime number is the biggest known integer which is a prime number. To date, it equals 282,589,933 − 1,[1] it would take 24,862,048 digits to write that entire number out. The number was found on December 21, 2018.
History
This 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 | ||
Largest Known Prime Number Media
A 2020 plot of the number of digits in the largest known prime by year, since the electronic computer. The vertical scale is logarithmic.
Commemorative postmark used by the UIUC Math Department after proving that M11213 is prime
References
- ↑ "GIMPS project discovers largest known prime number, 282,589,933-1". Mersenne Research, Inc.