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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
4718585039437170079 ~1999
4718618999437237999 ~1999
471873319471873319110 ~2000
471874037660623651910 ~2001
471879311377503448910 ~2000
471882319471882319110 ~2000
47190140345302534688112 ~2005
4719146999438293999 ~1999
4719158039438316079 ~1999
471918547849453384710 ~2001
471919661283151796710 ~2000
4719221639438443279 ~1999
4719333839438667679 ~1999
4719391319438782639 ~1999
471964433283178659910 ~2000
4719830039439660079 ~1999
471990413283194247910 ~2000
4720038599440077199 ~1999
472006259377605007310 ~2000
472018517283211110310 ~2000
4720203839440407679 ~1999
4720514039441028079 ~1999
4720522199441044399 ~1999
4720525799441051599 ~1999
472055821283233492710 ~2000
Exponent Prime Factor Digits Year
472055917283233550310 ~2000
472059559472059559110 ~2000
4720794839441589679 ~1999
4721136119442272239 ~1999
4721206199442412399 ~1999
472123637283274182310 ~2000
4721263799442527599 ~1999
4721279639442559279 ~1999
4721320919442641839 ~1999
4721361239442722479 ~1999
4721378399442756799 ~1999
4721407439442814879 ~1999
4721856719443713439 ~1999
4721865239443730479 ~1999
472197893283318735910 ~2000
472215761283329456710 ~2000
4722181199444362399 ~1999
472220297283332178310 ~2000
4722203519444407039 ~1999
472228727377782981710 ~2000
472229861283337916710 ~2000
472245857283347514310 ~2000
4722639239445278479 ~1999
472278167377822533710 ~2000
472296779850134202310 ~2001
Exponent Prime Factor Digits Year
472308329377846663310 ~2000
4723124999446249999 ~1999
4723175399446350799 ~1999
4723214399446428799 ~1999
472346387377877109710 ~2000
472385741283431444710 ~2000
4723867319447734639 ~1999
4724139239448278479 ~1999
4724141999448283999 ~1999
4724238839448477679 ~1999
4724294039448588079 ~1999
4724296799448593599 ~1999
4724494439448988879 ~1999
472451597283470958310 ~2000
4724840639449681279 ~1999
4724884799449769599 ~1999
472494809661492732710 ~2001
4725029519450059039 ~1999
472510013283506007910 ~2000
4725116399450232799 ~1999
4725144599450289199 ~1999
4725222891512071324911 ~2002
472535159378028127310 ~2000
472545137378036109710 ~2000
4725472199450944399 ~1999
Exponent Prime Factor Digits Year
4725660239451320479 ~1999
4725735119451470239 ~1999
4725847311984855870311 ~2002
4725892319451784639 ~1999
4726088039452176079 ~1999
4726092839452185679 ~1999
4726109519452219039 ~1999
4726353239452706479 ~1999
4726412039452824079 ~1999
4726435439452870879 ~1999
4726539531417961859111 ~2002
4726636439453272879 ~1999
4726755234254079707111 ~2003
4726986239453972479 ~1999
472702213283621327910 ~2000
472718413283631047910 ~2000
4727402399454804799 ~1999
472746433283647859910 ~2000
4727511719455023439 ~1999
4727641799455283599 ~1999
4727870096808132929711 ~2003
4727906031134697447311 ~2001
472812941283687764710 ~2000
472813997378251197710 ~2000
472817393661944350310 ~2001
3207
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25-06-08