Talk:Lucas-Lehmer test: Difference between revisions

m
→‎List of known Mersenne primes: Got rid of wanted links to numbers, dates, and random people
m (→‎List of known Mersenne primes: Got rid of wanted links to numbers, dates, and random people)
Line 3:
:Yeah. I know. :-) --[[User:Short Circuit|Short Circuit]] 07:55, 21 February 2008 (MST)
===List of known Mersenne primes===
The table below lists all known Mersenne primes {{OEIS|id=A000668}}:
{| class="wikitable"
|-
Line 15:
| align="right" | 1
| align="right" | 2
| align="right" | [[3 (number)|3]]
| align="right" | 1
| ''ancient''
Line 22:
| align="right" | 2
| align="right" | 3
| align="right" | [[7 (number)|7]]
| align="right" | 1
| ''ancient''
Line 29:
| align="right" | 3
| align="right" | 5
| align="right" | [[31 (number)|31]]
| align="right" | 2
| ''ancient''
Line 36:
| align="right" | 4
| align="right" | 7
| align="right" | [[127 (number)|127]]
| align="right" | 3
| ''ancient''
Line 53:
| align="right" | 6
| 1588
| [[Pietro Cataldi|Cataldi]]
|-
| align="right" | 7
Line 60:
| align="right" | 6
| 1588
| [[Pietro Cataldi|Cataldi]]
|-
| align="right" | 8
Line 67:
| align="right" | 10
| 1772
| [[Leonhard Euler|Euler]]
|-
| align="right" | 9
Line 74:
| align="right" | 19
| 1883
| [[Ivan Mikheevich Pervushin|Pervushin]]
|-
| align="right" | 10
Line 81:
| align="right" | 27
| 1911
| [[R. E. Powers|Powers]]
|-
| align="right" | 11
Line 88:
| align="right" | 33
| 1914
| [[R. E. Powers|Powers]][http://primes.utm.edu/notes/fauquem.html]
|-
| align="right" | 12
Line 95:
| align="right" | 39
| 1876
| [[Edouard Lucas|Lucas]]
|-
| align="right" | 13
Line 101:
| align="right" | 686479766…115057151
| align="right" | 157
| [[January 30]] [[1952]]
| [[Raphael M. Robinson|Robinson]]
|-
| align="right" | 14
Line 108:
| align="right" | 531137992…031728127
| align="right" | 183
| [[January 30]] [[1952]]
| [[Raphael M. Robinson|Robinson]]
|-
| align="right" | 15
Line 115:
| align="right" | 104079321…168729087
| align="right" | 386
| [[June 25]] [[1952]]
| [[Raphael M. Robinson|Robinson]]
|-
| align="right" | 16
Line 122:
| align="right" | 147597991…697771007
| align="right" | 664
| [[October 7]] [[1952]]
| [[Raphael M. Robinson|Robinson]]
|-
| align="right" | 17
Line 129:
| align="right" | 446087557…132836351
| align="right" | 687
| [[October 9]] [[1952]]
| [[Raphael M. Robinson|Robinson]]
|-
| align="right" | 18
Line 136:
| align="right" | 259117086…909315071
| align="right" | 969
| [[September 8]] [[1957]]
| [[Hans Riesel|Riesel]]
|-
| align="right" | 19
Line 143:
| align="right" | 190797007…350484991
| align="right" | 1,281
| [[November 3]] [[1961]]
| [[Alexander Hurwitz|Hurwitz]]
|-
| align="right" | 20
Line 150:
| align="right" | 285542542…608580607
| align="right" | 1,332
| [[November 3]] [[1961]]
| [[Alexander Hurwitz|Hurwitz]]
|-
| align="right" | 21
Line 157:
| align="right" | 478220278…225754111
| align="right" | 2,917
| [[May 11]] [[1963]]
| [[Donald B. Gillies|Gillies]]
|-
| align="right" | 22
Line 164:
| align="right" | 346088282…789463551
| align="right" | 2,993
| [[May 16]] [[1963]]
| [[Donald B. Gillies|Gillies]]
|-
| align="right" | 23
Line 171:
| align="right" | 281411201…696392191
| align="right" | 3,376
| [[June 2]] [[1963]]
| [[Donald B. Gillies|Gillies]]
|-
| align="right" | 24
Line 178:
| align="right" | 431542479…968041471
| align="right" | 6,002
| [[March 4]] [[1971]]
| [[Bryant Tuckerman|Tuckerman]]
|-
| align="right" | 25
Line 185:
| align="right" | 448679166…511882751
| align="right" | 6,533
| [[October 30]] [[1978]]
| [[Landon Curt Noll|Noll]] & [[Laura Nickel|Nickel]]
|-
| align="right" | 26
Line 192:
| align="right" | 402874115…779264511
| align="right" | 6,987
| [[February 9]] [[1979]]
| [[Landon Curt Noll|Noll]]
|-
| align="right" | 27
Line 199:
| align="right" | 854509824…011228671
| align="right" | 13,395
| [[April 8]] [[1979]]
| [[Harry Nelson|Nelson]] & [[David Slowinski|Slowinski]]
|-
| align="right" | 28
Line 206:
| align="right" | 536927995…433438207
| align="right" | 25,962
| [[September 25]] [[1982]]
| [[David Slowinski|Slowinski]]
|-
| align="right" | 29
Line 213:
| align="right" | 521928313…465515007
| align="right" | 33,265
| [[January 28]] [[1988]]
| [[Walt Colquitt|Colquitt]] & [[Luke Welsh|Welsh]]
|-
| align="right" | 30
Line 220:
| align="right" | 512740276…730061311
| align="right" | 39,751
| [[September 19]] [[1983]][http://www.isthe.com/chongo/tech/math/prime/mersenne.html#largest]
| [[David Slowinski|Slowinski]]
|-
| align="right" | 31
Line 227:
| align="right" | 746093103…815528447
| align="right" | 65,050
| [[September 1]] [[1985]][http://www.isthe.com/chongo/tech/math/prime/mersenne.html#largest]
| [[David Slowinski|Slowinski]]
|-
| align="right" | 32
Line 234:
| align="right" | 174135906…544677887
| align="right" | 227,832
| [[February 19]] [[1992]]
| [[David Slowinski|Slowinski]] & [[Paul Gage|Gage]] on [[Harwell Lab]] [[Cray-2]] [http://primes.utm.edu/notes/756839.html]
|-
| align="right" | 33
Line 241:
| align="right" | 129498125…500142591
| align="right" | 258,716
| [[January 4]] [[1994]] [http://www.math.unicaen.fr/~reyssat/largest.html]
| [[David Slowinski|Slowinski]] & [[Paul Gage|Gage]]
|-
| align="right" | 34
Line 248:
| align="right" | 412245773…089366527
| align="right" | 378,632
| [[September 3]] [[1996]]
| [[David Slowinski|Slowinski]] & [[Paul Gage|Gage]] [http://primes.utm.edu/notes/1257787.html]
|-
| align="right" | 35
Line 255:
| align="right" | 814717564…451315711
| align="right" | 420,921
| [[November 13]] [[1996]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / Joel Armengaud [http://www.mersenne.org/1398269.htm]
|-
| align="right" | 36
Line 262:
| align="right" | 623340076…729201151
| align="right" | 895,932
| [[August 24]] [[1997]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / Gordon Spence [http://www.mersenne.org/2976221.htm]
|-
| align="right" | 37
Line 269:
| align="right" | 127411683…024694271
| align="right" | 909,526
| [[January 27]] [[1998]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / Roland Clarkson [http://www.mersenne.org/3021377.htm]
|-
| align="right" | 38
Line 276:
| align="right" | 437075744…924193791
| align="right" | 2,098,960
| [[June 1]] [[1999]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / Nayan Hajratwala [http://www.mersenne.org/6972593.htm]
|-
| align="right" | 39
Line 283:
| align="right" | 924947738…256259071
| align="right" | 4,053,946
| [[November 14]] [[2001]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / Michael Cameron [http://www.mersenne.org/13466917.htm]
|-
| align="right" | 40<sup>*</sup>
Line 290:
| align="right" | 125976895…855682047
| align="right" | 6,320,430
| [[November 17]] [[2003]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / Michael Shafer [http://www.mersenne.org/20996011.htm]
|-
| align="right" | 41<sup>*</sup>
Line 297:
| align="right" | 299410429…733969407
| align="right" | 7,235,733
| [[May 15]] [[2004]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / Josh Findley [http://www.mersenne.org/24036583.htm]
|-
| align="right" | 42<sup>*</sup>
Line 304:
| align="right" | 122164630…577077247
| align="right" | 7,816,230
| [[February 18]] [[2005]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / Martin Nowak [http://www.mersenne.org/25964951.htm]
|-
| align="right" | 43<sup>*</sup>
Line 311:
| align="right" | 315416475…652943871
| align="right" | 9,152,052
| [[December 15]] [[2005]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / [[Curtis Cooper (mathematician)|Curtis Cooper]] & [[Steven Boone]] [http://www.mersenne.org/30402457.htm]
|-
| align="right" | 44<sup>*</sup>
Line 318:
| align="right" | 124575026…053967871
| align="right" | 9,808,358
| [[September 4]] [[2006]]
| [[Great Internet Mersenne Prime Search|GIMPS]] / [[Curtis Cooper (mathematician)|Curtis Cooper]] & [[Steven Boone]] [http://www.mersenne.org/32582657.htm]
|}
 
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