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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
5871479117429598 ~1984
5871611117432238 ~1984
58717091761512719 ~1987
5872151117443038 ~1984
5872343117446878 ~1984
5872417352345038 ~1985
5872457469796578 ~1985
5872511117450238 ~1984
5872523117450478 ~1984
5872571469805698 ~1985
5872579587257918 ~1986
58726871057083679 ~1986
5872913352374798 ~1985
5872943117458878 ~1984
5872991469839298 ~1985
58732271409574499 ~1986
5873471469877698 ~1985
5873501352410078 ~1985
5873521352411278 ~1985
58738012819424499 ~1987
5873837822337198 ~1986
5874251469940098 ~1985
5874371117487438 ~1984
5874397352463838 ~1985
5874839117496798 ~1984
Exp. Prime Factor Digits Year
5874839469987138
58748891762466719 ~1987
5875403117508078 ~1984
5875451117509038 ~1984
5875619117512398 ~1984
5875657352539438 ~1985
58757572232787679 ~1987
5875817470065378 ~1985
5875847470067778 ~1985
5875937470074978 ~1985
5875973352558398 ~1985
5875979117519598 ~1984
5876219117524398 ~1984
5876231470098498 ~1985
5876399117527998 ~1984
5876683587668318 ~1986
58769331763079919 ~1987
58769891763096719 ~1987
5876993352619598 ~1985
5876999117539998 ~1984
5877149470171938 ~1985
5877419117548398 ~1984
5877737352664238 ~1985
58778712821378099 ~1987
5878121470249698 ~1985
Exp. Prime Factor Digits Year
5878139117562798 ~1984
5878241470259298 ~1985
5878417352705038 ~1985
5878553352713198 ~1985
5878559470284738 ~1985
58785912351436419 ~1987
5878679117573598 ~1984
5878739117574798 ~1984
58787394702991219
58787511058175199 ~1986
5878799470303938 ~1985
5878927179895166310 ~1989
5879009823061278 ~1986
5879033352741998 ~1985
5879039470323138 ~1985
5879123117582478 ~1984
5879177352750638 ~1985
5879593352775598 ~1985
5880031588003118 ~1986
5880037940805938 ~1986
5880041352802478 ~1985
58801871999263599 ~1987
5880263117605278 ~1984
5880361352821678 ~1985
5880503117610078 ~1984
Exp. Prime Factor Digits Year
58805033293081699
5880737352844238 ~1985
5880863117617278 ~1984
5880911117618238 ~1984
58810931764327919 ~1987
5881217352873038 ~1985
5881277352876638 ~1985
5881397470511778 ~1985
5881709470536738 ~1985
5881873352912398 ~1985
5882171470573698 ~1985
5882189823506478 ~1986
5882203588220318 ~1986
5882531117650638 ~1984
5882861470628898 ~1985
5882879117657598 ~1984
5882939117658798 ~1984
58829391058929039
5883323117666478 ~1984
5883803117676078 ~1984
5883961941433778 ~1986
5884139470731138 ~1985
5884171588417118 ~1986
5884337353060238 ~1985
5884379117687598 ~1984
754
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25-07-08