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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
652075283130415056710 ~2000
6520805291956241587111 ~2003
652092503130418500710 ~2000
652096631130419326310 ~2000
652098851130419770310 ~2000
652099271130419854310 ~2000
652100411130420082310 ~2000
652111979130422395910 ~2000
652140221521712176910 ~2001
652144151130428830310 ~2000
652170131130434026310 ~2000
652190579130438115910 ~2000
652192091130438418310 ~2000
652199699130439939910 ~2000
652220693391332415910 ~2001
652247027521797621710 ~2001
652260299130452059910 ~2000
652272073391363243910 ~2001
652279403130455880710 ~2000
652288991130457798310 ~2000
652304063130460812710 ~2000
652336271130467254310 ~2000
6523727291435220003911 ~2002
652379723130475944710 ~2000
652402343130480468710 ~2000
Exponent Prime Factor Digits Year
6524152791565796669711 ~2002
652445663130489132710 ~2000
652450751130490150310 ~2000
652457111521965688910 ~2001
652471019130494203910 ~2000
652472351130494470310 ~2000
652518521522014816910 ~2001
652519271522015416910 ~2001
652522763130504552710 ~2000
652531199130506239910 ~2000
652534871130506974310 ~2000
652537799130507559910 ~2000
652540043130508008710 ~2000
652551719130510343910 ~2000
6525537431044085988911 ~2002
652558451130511690310 ~2000
652616039130523207910 ~2000
652619339130523867910 ~2000
652622093391573255910 ~2001
652630883130526176710 ~2000
652648571130529714310 ~2000
652651283130530256710 ~2000
652652183130530436710 ~2000
6526569131566376591311 ~2002
652666139130533227910 ~2000
Exponent Prime Factor Digits Year
652720379522176303310 ~2001
652752671130550534310 ~2000
652796159130559231910 ~2000
652796843130559368710 ~2000
652809071130561814310 ~2000
652814699130562939910 ~2000
652831721391699032710 ~2001
652839739652839739110 ~2002
652849979130569995910 ~2000
652859489522287591310 ~2001
65288011322981379977712 ~2005
652882403130576480710 ~2000
652888871130577774310 ~2000
652923431130584686310 ~2000
652926143130585228710 ~2000
652931663130586332710 ~2000
652947569522358055310 ~2001
652960019130592003910 ~2000
652962593391777555910 ~2001
652967123130593424710 ~2000
6529976871567194448911 ~2002
653014559130602911910 ~2000
653032181391819308710 ~2001
6531223671175620260711 ~2002
653142211653142211110 ~2002
Exponent Prime Factor Digits Year
653178923130635784710 ~2000
653182583130636516710 ~2000
653208071130641614310 ~2000
653210843130642168710 ~2000
653236439130647287910 ~2000
653258603130651720710 ~2000
653264291130652858310 ~2000
653268997391961398310 ~2001
65327070710452331312112 ~2005
6532919112743826026311 ~2003
653304419130660883910 ~2000
653315843130663168710 ~2000
653326139130665227910 ~2000
653335439130667087910 ~2000
653341583130668316710 ~2000
653358683130671736710 ~2000
653364683130672936710 ~2000
653379911130675982310 ~2000
653408543130681708710 ~2000
653445323130689064710 ~2000
6534493511045518961711 ~2002
653456603130691320710 ~2000
653458601392075160710 ~2001
653473651653473651110 ~2002
653485583130697116710 ~2000
3382
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25-07-08