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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
497295833696214166310 ~2001
497314931397851944910 ~2000
497316473298389883910 ~2000
4973304239946608479 ~1999
4973393519946787039 ~1999
4973427119946854239 ~1999
497345021298407012710 ~2000
497354497298412698310 ~2000
4973653439947306879 ~1999
497366339397893071310 ~2000
4973667119947334239 ~1999
4973726519947453039 ~1999
4973745839947491679 ~1999
497379011397903208910 ~2000
497389273298433563910 ~2000
4974298799948597599 ~1999
4974310199948620399 ~1999
4974361439948722879 ~1999
4974407399948814799 ~1999
497452961298471776710 ~2000
4974688199949376399 ~1999
4974697799949395599 ~1999
4974753119949506239 ~1999
4974863039949726079 ~1999
4974919319949838639 ~1999
Exponent Prime Factor Digits Year
497505721796009153710 ~2001
497525713298515427910 ~2000
4975295039950590079 ~1999
497533321298519992710 ~2000
4975504799951009599 ~1999
497557757298534654310 ~2000
4975678319951356639 ~1999
4975823639951647279 ~1999
4975840919951681839 ~1999
4975890839951781679 ~1999
497608591796173745710 ~2001
4976135772289022454311 ~2002
4976227919952455839 ~1999
4976313719952627439 ~1999
497637467398109973710 ~2000
4976758319953516639 ~1999
4976946239953892479 ~1999
4977005039954010079 ~1999
4977053399954106799 ~1999
4977077399954154799 ~1999
4977141119954282239 ~1999
497719753298631851910 ~2000
4977337731194561055311 ~2002
4977487919954975839 ~1999
497751799895953238310 ~2001
Exponent Prime Factor Digits Year
4977590639955181279 ~1999
4977658431592850697711 ~2002
4977764639955529279 ~1999
497785499398228399310 ~2000
4977869039955738079 ~1999
497819501298691700710 ~2000
4978200495077764499911 ~2003
4978209599956419199 ~1999
4978655039957310079 ~1999
497867521298720512710 ~2000
4978682535974419036111 ~2003
4978699439957398879 ~1999
4978705199957410399 ~1999
497892133298735279910 ~2000
4979051399958102799 ~1999
4979280431195027303311 ~2002
497932423796691876910 ~2001
497942321298765392710 ~2000
497953277298771966310 ~2000
4979549039959098079 ~1999
4980073799960147599 ~1999
4980143999960287999 ~1999
4980252119960504239 ~1999
498028159498028159110 ~2001
498049807498049807110 ~2001
Exponent Prime Factor Digits Year
4980573599961147199 ~1999
498062909398450327310 ~2000
498124049398499239310 ~2000
4981403999962807999 ~1999
4981407719962815439 ~1999
4981530599963061199 ~1999
4981618439963236879 ~1999
4981894919963789839 ~1999
498195781298917468710 ~2000
4981961039963922079 ~1999
4981973639963947279 ~1999
498203317298921990310 ~2000
4982059799964119599 ~1999
498210397797136635310 ~2001
4982127239964254479 ~1999
4982355719964711439 ~1999
4982519519965039039 ~1999
4983135599966271199 ~1999
4983260999966521999 ~1999
4983266031295649167911 ~2002
4983281519966563039 ~1999
4983314999966629999 ~1999
4983551393588157000911 ~2003
4983736439967472879 ~1999
4983932519967865039 ~1999
3168
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25-04-13