Wikidata:Lists/Mersenne numbers
This is a list of Mersenne numbers. Note:
- Mersenne number (Q10338607): number of the form (2^n)−1
- Mersenne number with prime index (Q67182782): number of the form (2^n)−1, where n is a prime number
- Mersenne prime (Q186875): prime number of the form 2ⁿ−1
This list is periodically updated by a bot. Manual changes to the list will be removed on the next update!
| 2n-1 n is |
primality | item | digits | numeric value | composite date |
factorization date |
?isprime | prime ordinal |
who | when |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 1 | 1 | |||||||
| 2 | n is prime | 3 | 1 | 3 | M is prime number | 1 | ||||
| 3 | n is prime | 7 | 1 | 7 | M is prime number | 2 | ||||
| 4 | 15 | 2 | 15 | |||||||
| 5 | n is prime | 31 | 2 | 31 | M is prime number | 3 | ||||
| 6 | 63 | 2 | 63 | |||||||
| 7 | n is prime | 127 | 3 | 127 | M is prime number | 4 | ||||
| 8 | 255 | 3 | 255 | |||||||
| 9 | 511 | 3 | 511 | |||||||
| 10 | 1023 | 4 | 1023 | |||||||
| 11 | n is prime | 2047 | 4 | 2047 | ||||||
| 12 | 4095 | 4 | 4095 | |||||||
| 13 | n is prime | 8191 | 4 | 8191 | M is prime number | 5 | No/unknown value | 1456 | ||
| 14 | 16383 | 5 | 16383 | |||||||
| 15 | 32767 | 5 | 32767 | |||||||
| 16 | 65535 | 5 | 65535 | |||||||
| 17 | n is prime | 131071 | 6 | 131071 | M is prime number | 6 | Pietro Cataldi | 1460 | ||
| 18 | 262143 | 6 | 262143 | |||||||
| 19 | n is prime | 524287 | 6 | 524287 | M is prime number | 7 | Pietro Cataldi | 1588 | ||
| 20 | 1048575 | 7 | 1048575 | |||||||
| 30 | 1073741823 | 1073741823 | ||||||||
| 31 | n is prime | 2,147,483,647 | 10 | 2147483647 | M is prime number | 8 | Leonhard Euler | 1772 | ||
| 32 | 4,294,967,295 | 10 | 4294967295 | |||||||
| 61 | n is prime | 2,305,843,009,213,693,951 | 19 | 2305843009213694000 | M is prime number | 9 | Ivan Mikheevich Pervushin | 1883-11 | ||
| 63 | 9,223,372,036,854,775,807 | 19 | 9223372036854776000 | |||||||
| 64 | 18,446,744,073,709,551,615 | 20 | 18446744073709552000 | |||||||
| 67 | n is prime | 147,573,952,589,676,412,927 | 21 | 147573952589676410000 | 1876-01-01 | 1903-01-01 | ||||
| 89 | n is prime | 618,970,019,642,690,137,449,562,111 | 27 | 618970019642690200000000000 | M is prime number | 10 | Ralph Ernest Powers | 1911-06 | ||
| 107 | n is prime | M107 | 33 | 162259276829213360000000000000000 | M is prime number | 11 | Ralph Ernest Powers | 1914-06-01 | ||
| 127 | n is prime | M127 | 39 | 170141183460469230000000000000000000000 | M is prime number | 12 | Édouard Lucas | 1876-01-10 | ||
| 157 | n is prime | M157 | 48 | 182687704666362860000000000000000000000000000000 | 1944-08-11 | |||||
| 167 | n is prime | M167 | 51 | 187072209578355570000000000000000000000000000000000 | 1944-12-02 | |||||
| 193 | n is prime | M193 | 59 | 12554203470773362000000000000000000000000000000000000000000 | 1947-11-27 | |||||
| 199 | n is prime | M199 | 60 | 803469022129495100000000000000000000000000000000000000000000 | 1946-07-27 | |||||
| 227 | n is prime | M227 | 69 | 215679573337205120000000000000000000000000000000000000000000000000000 | 1947-06-04 | |||||
| 229 | n is prime | M229 | 69 | 862718293348820500000000000000000000000000000000000000000000000000000 | 1946-02-09 | |||||
| 521 | n is prime | M521 | 157 | No/unknown value | M is prime number | 13 | Raphael M. Robinson | 1952-01-30 | ||
| 607 | n is prime | M607 | 183 | No/unknown value | M is prime number | 14 | Raphael M. Robinson | 1952-01-30 | ||
| 1279 | n is prime | M1279 | 386 | No/unknown value | M is prime number | 15 | Raphael M. Robinson | 1952-06-25 | ||
| 2203 | n is prime | M2203 | 664 | No/unknown value | M is prime number | 16 | Raphael M. Robinson | 1952-10-07 | ||
| 2281 | n is prime | M2281 | 687 | No/unknown value | M is prime number | 17 | Raphael M. Robinson | 1952-10-09 | ||
| 3217 | n is prime | M3217 | 969 | No/unknown value | M is prime number | 18 | Hans Riesel | 1957-09-08 | ||
| 4253 | n is prime | M4253 | 1281 | No/unknown value | M is prime number | 19 | Alexander Hurwitz | 1961-11-03 | ||
| 4423 | n is prime | M4423 | 1332 | No/unknown value | M is prime number | 20 | Alexander Hurwitz | 1961-11-03 | ||
| 9689 | n is prime | M9689 | 2917 | No/unknown value | M is prime number | 21 | Donald B. Gillies | 1963-05-11 | ||
| 9941 | n is prime | M9941 | 2993 | No/unknown value | M is prime number | 22 | Donald B. Gillies | 1963-05-16 | ||
| 11213 | n is prime | M11213 | 3376 | No/unknown value | M is prime number | 23 | Donald B. Gillies | 1963-06-02 | ||
| 19937 | n is prime | M19937 | 6002 | No/unknown value | M is prime number | 24 | Bryant Tuckerman | 1971-03-04 | ||
| 21701 | n is prime | M21701 | 6533 | No/unknown value | M is prime number | 25 | Landon Curt Noll Ariel T. Glenn |
1978-10-30 | ||
| 23209 | n is prime | M23209 | 6987 | No/unknown value | M is prime number | 26 | Landon Curt Noll | 1979-02-09 | ||
| 44497 | n is prime | M44497 | 13395 | No/unknown value | M is prime number | 27 | Harry L. Nelson | 1979-04-08 | ||
| 86243 | n is prime | M86243 | 25962 | No/unknown value | M is prime number | 28 | David Slowinski | 1982-09-25 | ||
| 110503 | n is prime | M110503 | 33265 | No/unknown value | M is prime number | 29 | Walter Colquitt Luke Welsh |
1988-01-29 | ||
| 132049 | n is prime | M132049 | 39751 | No/unknown value | M is prime number | 30 | David Slowinski | 1983-09-19 | ||
| 216091 | n is prime | M216091 | 65050 | No/unknown value | M is prime number | 31 | David Slowinski | 1985-09-01 | ||
| 756839 | n is prime | M756839 | 227832 | No/unknown value | M is prime number | 32 | David Slowinski Paul Gage |
1992-02-17 | ||
| 859433 | n is prime | M859433 | 258716 | No/unknown value | M is prime number | 33 | David Slowinski Paul Gage |
1994-01-04 | ||
| 1257787 | n is prime | M1257787 | 378632 | No/unknown value | M is prime number | 34 | David Slowinski Paul Gage |
1996-09-03 | ||
| 1398269 | n is prime | M1398269 | 420921 | No/unknown value | M is prime number | 35 | Great Internet Mersenne Prime Search Joel Armengaud |
1996-11-13 | ||
| 2976221 | n is prime | M2976221 | 895932 | No/unknown value | M is prime number | 36 | Great Internet Mersenne Prime Search Gordon Spence |
1997-08-24 | ||
| 3021377 | n is prime | M3021377 | 909526 | No/unknown value | M is prime number | 37 | Great Internet Mersenne Prime Search Roland Clarkson |
1998-01-27 | ||
| 6972593 | n is prime | M6972593 | 2098960 | No/unknown value | M is prime number | 38 | Great Internet Mersenne Prime Search Nayan Hajratwala |
1999-06-01 | ||
| 13466917 | n is prime | M13466917 | 4053946 | No/unknown value | M is prime number | 39 | Great Internet Mersenne Prime Search Michael Cameron |
2001-11-14 | ||
| 20996011 | n is prime | M20996011 | 6320430 | No/unknown value | M is prime number | 40 | Great Internet Mersenne Prime Search Michael Shafer |
2003-11-17 | ||
| 24036583 | n is prime | M24036583 | 7235733 | No/unknown value | M is prime number | 41 | Great Internet Mersenne Prime Search Josh Findley |
2004-05-15 | ||
| 25964951 | n is prime | M25964951 | 7816230 | No/unknown value | M is prime number | 42 | Great Internet Mersenne Prime Search Martin Nowak |
2005-02-18 | ||
| 30402457 | n is prime | M30402457 | 9152052 | No/unknown value | M is prime number | 43 | Great Internet Mersenne Prime Search Curtis Cooper |
2005-12-15 | ||
| 32582657 | n is prime | M32582657 | 9808358 | No/unknown value | M is prime number | 44 | Great Internet Mersenne Prime Search Curtis Cooper |
2006-09-04 | ||
| 37156667 | n is prime | M37156667 | 11185272 | No/unknown value | M is prime number | 45 | Great Internet Mersenne Prime Search Hans-Michael Elvenich |
2008-09-06 | ||
| 42643801 | n is prime | M42643801 | 12837064 | No/unknown value | M is prime number | 46 | Great Internet Mersenne Prime Search Odd M. Strindmo |
2009-04-12 2009-06-04 | ||
| 43112609 | n is prime | M43112609 | 12978189 | No/unknown value | M is prime number | 47 | Great Internet Mersenne Prime Search Edson Smith |
2008-08-23 | ||
| 57885161 | n is prime | M57885161 | 17425170 | No/unknown value | M is prime number | 48 | Great Internet Mersenne Prime Search Curtis Cooper |
2013-01-25 | ||
| 74207281 | n is prime | M74207281 | 22338618 | No/unknown value | M is prime number | http://www.wikidata.org/.well-known/genid/48ad8b8323525eea7be71ea2f49e999e | Great Internet Mersenne Prime Search Curtis Cooper |
2015-09-17 2016-01-07 | ||
| 77232917 | n is prime | M77232917 | 23249425 | No/unknown value | M is prime number | http://www.wikidata.org/.well-known/genid/ba9862372a345598e3a269c4145f989a | Great Internet Mersenne Prime Search Jon Pace |
2017-12-26 | ||
| 82589933 | n is prime | M82589933 | 24862048 | No/unknown value | M is prime number | http://www.wikidata.org/.well-known/genid/17e09eacd9d171f10b13f9391240dc4b | Great Internet Mersenne Prime Search Patrick Laroche |
2018-12-07 |
End of automatically generated list.