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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.
Exponent Prime Factor Digits Year
584686859116937371910 ~1999
584690423116938084710 ~1999
584695283116939056710 ~2000
584709371116941874310 ~2000
584709773350825863910 ~2001
584731739116946347910 ~2000
584737343116947468710 ~2000
584742551116948510310 ~2000
584767409467813927310 ~2001
584781493350868895910 ~2001
584786771116957354310 ~2000
584788439116957687910 ~2000
584842259467873807310 ~2001
584864899584864899110 ~2001
5848832691403719845711 ~2002
584901683116980336710 ~2000
584928563116985712710 ~2000
5849609271403906224911 ~2002
584964251116992850310 ~2000
584969219116993843910 ~2000
584975879116995175910 ~2000
584979683116995936710 ~2000
584981783116996356710 ~2000
584984831116996966310 ~2000
584992319467993855310 ~2001
Exponent Prime Factor Digits Year
585032219117006443910 ~2000
585038893351023335910 ~2001
5850503391872161084911 ~2002
585064439117012887910 ~2000
585072791117014558310 ~2000
585073739117014747910 ~2000
585074279117014855910 ~2000
585117563117023512710 ~2000
585118883117023776710 ~2000
585138553351083131910 ~2001
585143159117028631910 ~2000
585151019117030203910 ~2000
585169811117033962310 ~2000
5852042591989694480711 ~2003
585206813351124087910 ~2001
585224141351134484710 ~2001
585229163117045832710 ~2000
585231659117046331910 ~2000
585275857351165514310 ~2001
585283931117056786310 ~2000
585285479117057095910 ~2000
585300851117060170310 ~2000
585301943117060388710 ~2000
585312599117062519910 ~2000
585318479117063695910 ~2000
Exponent Prime Factor Digits Year
585331771585331771110 ~2001
585333263117066652710 ~2000
585346571117069314310 ~2000
585381157936609851310 ~2002
585397283117079456710 ~2000
585429193936686708910 ~2002
585440111117088022310 ~2000
585463897936742235310 ~2002
5854693612224783571911 ~2003
585475199117095039910 ~2000
585479351117095870310 ~2000
585536351117107270310 ~2000
585536639117107327910 ~2000
585538937468431149710 ~2001
585541811117108362310 ~2000
585542231117108446310 ~2000
585542759117108551910 ~2000
585545903117109180710 ~2000
585562511117112502310 ~2000
585574541351344724710 ~2001
585578219117115643910 ~2000
585581441351348864710 ~2001
585587699117117539910 ~2000
585610439117122087910 ~2000
585621973351373183910 ~2001
Exponent Prime Factor Digits Year
585642119117128423910 ~2000
585648953819908534310 ~2002
585661403117132280710 ~2000
585669323117133864710 ~2000
585678251117135650310 ~2000
585695399117139079910 ~2000
585720539117144107910 ~2000
585744881468595904910 ~2001
585745681351447408710 ~2001
585747341351448404710 ~2001
585761303117152260710 ~2000
585769979117153995910 ~2000
585781211117156242310 ~2000
585782363117156472710 ~2000
585792143117158428710 ~2000
585794459117158891910 ~2000
585798371117159674310 ~2000
585827111117165422310 ~2000
585839677351503806310 ~2001
585851471117170294310 ~2000
585865919117173183910 ~2000
585869591117173918310 ~2000
585874703117174940710 ~2000
585887041937419265710 ~2002
585905891117181178310 ~2000
3675
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26-05-03