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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
2829104035658208079 ~1997
2829261835658523679 ~1997
282930721169758432710 ~1998
282931339679035213710 ~2000
2829336595658673199 ~1997
2829482515658965039 ~1997
282955601169773360710 ~1998
2829587515659175039 ~1997
282961697169777018310 ~1998
282961997169777198310 ~1998
2829642115659284239 ~1997
2829794515659589039 ~1997
2829868315659736639 ~1997
2829870595659741199 ~1997
282989657848968971110 ~2000
282994447282994447110 ~1999
2829957595659915199 ~1997
2829998635659997279 ~1997
2830001035660002079 ~1997
2830117195660234399 ~1997
2830273315660546639 ~1997
2830307995660615999 ~1997
2830328035660656079 ~1997
2830337635660675279 ~1997
2830372315660744639 ~1997
Exponent Prime Factor Digits Year
2830452472547407223111 ~2001
2830585195661170399 ~1997
2830648195661296399 ~1997
2830653835661307679 ~1997
283085437849256311110 ~2000
2830919995661839999 ~1997
2830947115661894239 ~1997
2831001595662003199 ~1997
2831171515662343039 ~1997
283135417169881250310 ~1998
2831407195662814399 ~1997
2831422315662844639 ~1997
283149397169889638310 ~1998
2831615531812233939311 ~2001
2831750035663500079 ~1997
2831822395663644799 ~1997
2832115435664230879 ~1997
2832173035664346079 ~1997
2832368395664736799 ~1997
2832479831189641528711 ~2000
283254401169952640710 ~1998
2832555595665111199 ~1997
283277497169966498310 ~1998
2832823195665646399 ~1997
2832851995665703999 ~1997
Exponent Prime Factor Digits Year
283296413396614978310 ~1999
283300553169980331910 ~1998
2833103995666207999 ~1997
2833188835666377679 ~1997
2833229515666459039 ~1997
2833233311869933984711 ~2001
2833253035666506079 ~1997
2833273915666547839 ~1997
283330037226664029710 ~1998
2833345435666690879 ~1997
2833449595666899199 ~1997
2833481515666963039 ~1997
2833483435666966879 ~1997
2833549195667098399 ~1997
2833755115667510239 ~1997
2833852795667705599 ~1997
2833943995667887999 ~1997
283404923906895753710 ~2000
283414693170048815910 ~1998
2834217115668434239 ~1997
2834372995668745999 ~1997
2834454835668909679 ~1997
283447081453515329710 ~1999
283453507283453507110 ~1999
2834538115669076239 ~1997
Exponent Prime Factor Digits Year
2834554435669108879 ~1997
2834580235669160479 ~1997
2834605195669210399 ~1997
283460701170076420710 ~1998
2834609395669218799 ~1997
2834644915669289839 ~1997
283470001170082000710 ~1998
2834793595669587199 ~1997
283485617170091370310 ~1998
2835021115670042239 ~1997
2835176515670353039 ~1997
2835197515670395039 ~1997
2835245515670491039 ~1997
283524937170114962310 ~1998
2835553195671106399 ~1997
283569773170141863910 ~1998
2835741115671482239 ~1997
2835771115671542239 ~1997
2835882235671764479 ~1997
2835886915671773839 ~1997
283593131226874504910 ~1998
2835947635671895279 ~1997
2835951411758289874311 ~2001
2835960115671920239 ~1997
2836002115672004239 ~1997
2938
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25-05-04