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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
1997965223399593044710 ~2004
19980438771198826326311 ~2005
1998142271399628454310 ~2004
1998145223399629044710 ~2004
1998265259399653051910 ~2004
19982863971598629117711 ~2005
19983446531199006791911 ~2005
1998357983399671596710 ~2004
19984324971598745997711 ~2005
1998448799399689759910 ~2004
1998461123399692224710 ~2004
19984932611199095956711 ~2005
1998523979399704795910 ~2004
1998525059399705011910 ~2004
1998596123399719224710 ~2004
19986441771598915341711 ~2005
1998757919399751583910 ~2004
19988159391599052751311 ~2005
19988517134397473768711 ~2006
19988817371199329042311 ~2005
1998894011399778802310 ~2004
19989247496396559196911 ~2007
19990195491599215639311 ~2005
1999052663399810532710 ~2004
19990772871599261829711 ~2005
Exponent Prime Factor Digits Year
19991191791599295343311 ~2005
1999138079399827615910 ~2004
19992610933198817748911 ~2006
1999302551399860510310 ~2004
1999408679399881735910 ~2004
1999427159399885431910 ~2004
1999459883399891976710 ~2004
1999531463399906292710 ~2004
19997467971199848078311 ~2005
1999820051399964010310 ~2004
1999891703399978340710 ~2004
1999965683399993136710 ~2004
19999948331199996899911 ~2005
2000002331400000466310 ~2004
2000084771400016954310 ~2004
2000127659400025531910 ~2004
20001290094800309621711 ~2006
2000162711400032542310 ~2004
2000170883400034176710 ~2004
2000174303400034860710 ~2004
20002736171200164170311 ~2005
2000322179400064435910 ~2004
2000399699400079939910 ~2004
2000471003400094200710 ~2004
2000544443400108888710 ~2004
Exponent Prime Factor Digits Year
20005692131200341527911 ~2005
2000574659400114931910 ~2004
2000579183400115836710 ~2004
20006321331200379279911 ~2005
2000656583400131316710 ~2004
20006883973201101435311 ~2006
2000728643400145728710 ~2004
20007846771200470806311 ~2005
20008800411200528024711 ~2005
2000880551400176110310 ~2004
2000888531400177706310 ~2004
2000933171400186634310 ~2004
2000944331400188866310 ~2004
2000965979400193195910 ~2004
20009704971600776397711 ~2005
2001031031400206206310 ~2004
200107693344423907912712 ~2009
2001173483400234696710 ~2004
2001196271400239254310 ~2004
2001374339400274867910 ~2004
2001388463400277692710 ~2004
20014380715203738984711 ~2006
2001521003400304200710 ~2004
2001528131400305626310 ~2004
2001615851400323170310 ~2004
Exponent Prime Factor Digits Year
2001665411400333082310 ~2004
20016980091601358407311 ~2005
2001758963400351792710 ~2004
2001769751400353950310 ~2004
20017770596405686588911 ~2007
2001793439400358687910 ~2004
20018015233202882436911 ~2006
20018383811201103028711 ~2005
2001908003400381600710 ~2004
2001962783400392556710 ~2004
2002000463400400092710 ~2004
2002038539400407707910 ~2004
20020973112002097311111 ~2005
20021152331201269139911 ~2005
2002133723400426744710 ~2004
20022532571201351954311 ~2005
20022799131201367947911 ~2005
20022886371201373182311 ~2005
200239483352863223591312 ~2009
2002454183400490836710 ~2004
20024646471601971717711 ~2005
2002499783400499956710 ~2004
2002503323400500664710 ~2004
20025751491602060119311 ~2005
2002597451400519490310 ~2004
4135
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26-02-08