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Top Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime FactorDigitsYear
1277****..********* 20??
28379923..692369830 2011
29271070..592199858 2011
30411998..145249905 2011
30792936..555247899 2011
32172591..315071969 1957
32595197..253847947 2011
33592150..0430731008 1992
35471954..6279771039 2000
38331456..1864971121 2000
41271451..6145691232 1997
42196117..6259591146 2011
42431829..9998791273 1997
42531907..4849911281 1961
44232855..5806071332 1961
47296009..7380071392 2000
47512288..8218971372 2000
48711473..1999271431 2001
50872803..4438571510 1997
52272516..9136791549 1997
52332428..4959511472 2016
56893944..3881431701 1997
60431193..8853291792 2000
61996769..5354971813 2005
63379413..6933031802 2005
Exp. Prime FactorDigitsYear
68832533..3447512051 1997
70393611..4027692074 2001
73311548..7143272196 1997
74177311..1638812193 2002
76732479..4494892298 1997
77575269..3179112303 2001
82431549..4693292427 2017
88498159..0256792637 2001
96894782..7541112917 1963
96978855..5341592888 2002
97331834..8151272876 2001
99012479..4575532844 2001
99413460..4635512993 1963
100071248..2863272979 2002
101691435..5552973022 2002
102112140..2167113030 2010
104335757..2136873056 2015
111179916..4510073284 2011
112132814..3921913376 1963
118137921..0009773537 2002
124511529..0603113708 2008
125692457..0933673728 2017
145612458..5961614365 2004
146211193..1194494365 2008
170294146..3105775118 2006
Exp. Prime FactorDigitsYear
176838911..2579035274 2009
191216090..8435215701 2015
199374315..0414716002 1971
205214493..1767276124 2017
208873468..0057676229 2009
217014486..8827516533 1978
221932094..5221936622 2018
232094028..2645116987 1979
252434033..8978717551 2016
259335436..2204977740 2017
269033659..8525998063 2011
287599273..5802318649 2012
287718202..9393678653 2012
294731294..1725378835 2012
325313905..3491919778 2012
326115114..0361779736 2018
353392558..47660710562 2015
412631823..69776712395 2012
415212801..25215912459 2012
416813404..67569712495 2015
444978545..22867113395 1979
514871363..35829715455 2018
533812023..20540116008 2017
571312269..65733717152 2015
581991857..62845717497 2015
Exp. Prime FactorDigitsYear
637037625..53027119169 2014
862435369..43820725962 1982
1105035219..51500733265 1988
1320495127..06131139751 1983
2160917460..52844765050 1985
7568391741..677887227832 1992
8594331294..142591258716 1994
12577874122..366527378632 1996
13982698147..315711420921 1996
29762216233..201151895932 1997
30213771274..694271909526 1998
69725934370..1937912099e3 1999
134669179249..2590714054e3 2001
209960111259..6820476320e3 2003
240365832994..9694077236e3 2004
259649511221..0772477816e3 2005
304024573154..9438719152e3 2005
325826571245..9678719808e3 2006
371566672022..2209271119e4 2008
426438011698..3147511284e4 2009
431126093164..1525111298e4 2008
578851615818..2859511743e4 2013
742072813003..4363512234e4 2016
772329174673..1790712325e4 2017
825899331488..9025912486e4 2018
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20.09.13
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