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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
665413211133082642310 ~2000
6654142613726319861711 ~2003
665420663133084132710 ~2000
665431163133086232710 ~2000
665434559133086911910 ~2000
665464391133092878310 ~2000
665474003133094800710 ~2000
665511383133102276710 ~2000
665533523133106704710 ~2000
6655998172529279304711 ~2003
665603423133120684710 ~2000
665609221399365532710 ~2001
665623859133124771910 ~2000
665626919133125383910 ~2000
6656547913195142996911 ~2003
6656602511065056401711 ~2002
665684843133136968710 ~2000
665685437532548349710 ~2001
6657527274926570179911 ~2004
665771651133154330310 ~2000
665811719133162343910 ~2000
665819723133163944710 ~2000
665819963133163992710 ~2000
665840291133168058310 ~2000
665855363133171072710 ~2000
Exponent Prime Factor Digits Year
665858639133171727910 ~2000
665877083133175416710 ~2000
665934551133186910310 ~2000
665942363133188472710 ~2000
665960063133192012710 ~2000
6659731091465140839911 ~2002
665982377399589426310 ~2001
665997263133199452710 ~2000
666010949532808759310 ~2001
666037643133207528710 ~2000
666039449932455228710 ~2002
666091463133218292710 ~2000
666109919133221983910 ~2000
666120269532896215310 ~2001
666121493399672895910 ~2001
666143603133228720710 ~2000
666174059133234811910 ~2000
666177503133235500710 ~2000
666197723133239544710 ~2000
6661993632798037324711 ~2003
666218183133243636710 ~2000
666240131133248026310 ~2000
666242663133248532710 ~2000
666247139133249427910 ~2000
666249263133249852710 ~2000
Exponent Prime Factor Digits Year
666262301399757380710 ~2001
666277207666277207110 ~2002
666278699133255739910 ~2000
666282971133256594310 ~2000
666289997399773998310 ~2001
666290351133258070310 ~2000
666291239133258247910 ~2000
666322537399793522310 ~2001
666322543666322543110 ~2002
666326429932857000710 ~2002
666345611133269122310 ~2000
666358883133271776710 ~2000
666375119533100095310 ~2001
666382883133276576710 ~2000
666432083133286416710 ~2000
666436223133287244710 ~2000
6664411093198917323311 ~2003
666449939133289987910 ~2000
666477311533181848910 ~2001
666487751133297550310 ~2000
666511427533209141710 ~2001
666512459133302491910 ~2000
666513059133302611910 ~2000
6665422133599327950311 ~2003
666546563133309312710 ~2000
Exponent Prime Factor Digits Year
666547391133309478310 ~2000
666549901399929940710 ~2001
666550939666550939110 ~2002
666564443133312888710 ~2000
666570893399942535910 ~2001
666572999133314599910 ~2000
6665764511199837611911 ~2002
666577799133315559910 ~2000
666613273399967963910 ~2001
666640319133328063910 ~2000
666661811133332362310 ~2000
666683159133336631910 ~2000
666718763133343752710 ~2000
666722047666722047110 ~2002
666727283133345456710 ~2000
666796859133359371910 ~2000
666796961400078176710 ~2001
6668040591600329741711 ~2003
666813671133362734310 ~2000
666857393400114435910 ~2001
666922103133384420710 ~2000
666937223133387444710 ~2000
666959231133391846310 ~2000
666970763133394152710 ~2000
666977879133395575910 ~2000
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25-06-08