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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
6626816273711017111311 ~2003
662693483132538696710 ~2000
6627090671060334507311 ~2002
662724383132544876710 ~2000
662726063132545212710 ~2000
6627458032783532372711 ~2003
662770079132554015910 ~2000
662781611132556322310 ~2000
662782079132556415910 ~2000
662792213397675327910 ~2001
66280924920547086719112 ~2005
662821513397692907910 ~2001
662834363132566872710 ~2000
662845499132569099910 ~2000
662851379132570275910 ~2000
662852161397711296710 ~2001
6628645491590874917711 ~2003
6628665136761238432711 ~2004
662867603132573520710 ~2000
662874959530299967310 ~2001
662885159132577031910 ~2000
662887223132577444710 ~2000
662906999132581399910 ~2000
662912219132582443910 ~2000
662927939132585587910 ~2000
Exponent Prime Factor Digits Year
662957051132591410310 ~2000
663000097397800058310 ~2001
663018899132603779910 ~2000
663029051132605810310 ~2000
663038899663038899110 ~2002
663054611132610922310 ~2000
663055499132611099910 ~2000
663073679132614735910 ~2000
663074231132614846310 ~2000
663077003132615400710 ~2000
663085583132617116710 ~2000
663092141397855284710 ~2001
663142079132628415910 ~2000
663152051132630410310 ~2000
663188303132637660710 ~2000
663192059132638411910 ~2000
663192779132638555910 ~2000
663194303132638860710 ~2000
663216623132643324710 ~2000
663220511132644102310 ~2000
663253763132650752710 ~2000
663264083132652816710 ~2000
663318353397991011910 ~2001
663321671132664334310 ~2000
663334943132666988710 ~2000
Exponent Prime Factor Digits Year
663347819132669563910 ~2000
663373121398023872710 ~2001
663375599132675119910 ~2000
663410843132682168710 ~2000
663421091132684218310 ~2000
663428081530742464910 ~2001
663433409530746727310 ~2001
663434423132686884710 ~2000
6634368115970931299111 ~2004
663440411132688082310 ~2000
6634510811061521729711 ~2002
663476039132695207910 ~2000
6635111815308089448111 ~2004
663527237530821789710 ~2001
663553237398131942310 ~2001
663561911132712382310 ~2000
663562661398137596710 ~2001
663569411132713882310 ~2000
663569591132713918310 ~2000
663573511663573511110 ~2002
663592793398155675910 ~2001
6635968677963162404111 ~2004
663626177929076647910 ~2002
663630839132726167910 ~2000
663641399132728279910 ~2000
Exponent Prime Factor Digits Year
663650051132730010310 ~2000
66368077713140879384712 ~2005
663685199132737039910 ~2000
663693377398216026310 ~2001
663726659132745331910 ~2000
663727679132745535910 ~2000
663761951132752390310 ~2000
6637654331062024692911 ~2002
6637720913717123709711 ~2003
663772379132754475910 ~2000
663774731132754946310 ~2000
663805643132761128710 ~2000
6638396231593215095311 ~2003
663863831132772766310 ~2000
663866837531093469710 ~2001
663870299132774059910 ~2000
663920399132784079910 ~2000
663946973398368183910 ~2001
663955031132791006310 ~2000
663960421398376252710 ~2001
663983531132796706310 ~2000
664021073398412643910 ~2001
6640251613054515740711 ~2003
664046543132809308710 ~2000
664055417531244333710 ~2001
3356
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25-06-08