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Small 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 Factor Digits Year
839268495 1952
8392289...453209185 2011
8536488...128313132 2009
85768574 1952
8577311...750079120 2009
85972156017 1957
8596894...215903141 2009
86382589117 1957
8638546...486599137 2009
877350815 1952
87714365277
8772655...020953107 2009
881264315 1952
8816099...344321261 2011
88388314 1952
883635775
8834438...914047228 2011
887161735598 1960
8879785...917503137 2011
90711700317 1952
9072152...880263241 2011
91118234 1952
911261293038
9111799...452807232 2011
9191526...974721126 1982
Exp. Prime Factor Digits Year
9198651...136511135 2011
929130075 1952
9299257...156721153 2013
937281115 1952
9371051...782473154 2011
94175294 1952
9418455...435087211 2011
9474247...507473104 2013
9476705...757289113 2013
9533430816 1952
9535614...208311155 2011
967232095 1952
9675492576
9679291...159673219 2011
9718344...844719240 2011
9778675776 1952
97718133137
9773301...057497171 2011
9834520...543409254 2011
9913943...487991137 2015
9916721...423959127 2015
9977993...681553244 2011
100934548177 1957
10091560...587137116 2013
101360794 1952
Exp. Prime Factor Digits Year
10134912...462201229 2011
101920394 1952
1019754075
10193886...549431171 2012
1021408415 1952
10217162...717601232 2011
103120634 1952
10312982...226751225 2011
10331962716 1952
1033369132238
10338724...126079210 2011
103950807117 1957
10392075...523689227 2011
1049335695 1952
10494594636
10493692...850153288 2011
105135755037 1957
10511025...058799180 2013
10614681...564433143 2011
10615277...303247177 2011
10636651...913033311 2011
10691737...329577187 2013
1087107221698 1960
10873756...371567131 2011
1091872815 1952
Exp. Prime Factor Digits Year
10915519783599
10911437...803183221 2011
1093437215 1952
10931114876
10931109...306711173 2014
10934611...293449122 2014
10979807196 1952
109746666397
10971259...736743220 2011
110322074 1952
11031193...399223305 2011
11091065...589967156 2015
11092461...798519146 2014
1117536175 1952
11176373...255607254 2014
11233391...409569235 2014
1129338715 1952
11292682...822911139 2014
11299624...153487188 2014
11516171...029479139 2014
11518311...804047103 2014
11532674976 1952
11535331...968329243 2014
11634201...485263246 2011
11711234...331913128 2015
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