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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
31177823623556478 ~1989
311787614988601779 ~1992
31179023623580478 ~1989
31179119623582398 ~1989
31179359623587198 ~1989
31179719623594398 ~1989
31180511623610238 ~1989
311812012494496099 ~1991
311812371870874239 ~1991
311821131870926799 ~1991
311827971870967839 ~1991
31182839623656798 ~1989
31183079623661598 ~1989
311830799978585299
31183081143442172710 ~1993
311831896860301599 ~1992
31183403623668078 ~1989
31184819623696398 ~1989
31185503623710078 ~1989
311857331871143999 ~1991
31187059180884942310 ~1993
31187131124748524110 ~1993
31187543623750878 ~1989
311882473118824719 ~1991
311895592495164739 ~1991
Exponent Prime Factor Digits Year
31190063623801278 ~1989
31190303623806078 ~1989
31190363623807278 ~1989
31190531623810638 ~1989
31190591623811838 ~1989
311906694366693679 ~1992
31191683623833678 ~1989
311917811871506879 ~1991
31191971623839438 ~1989
31194503623890078 ~1989
31194791623895838 ~1989
311949136862880879 ~1992
311950131871700799 ~1991
311963572495708579 ~1991
31196699623933998 ~1989
31197239230859568710 ~1993
31197589149748427310 ~1993
31198151623963038 ~1989
31198259623965198 ~1989
31198319623966398 ~1989
311987531871925199 ~1991
311996039983872979 ~1992
31199999623999998 ~1989
31200551624011038 ~1989
31202159624043198 ~1989
Exponent Prime Factor Digits Year
312025331872151999 ~1991
31202543624050878 ~1989
312029331872175999 ~1991
31203983624079678 ~1989
31206083624121678 ~1989
31206317299580643310 ~1994
31207079624141598 ~1989
31207919624158398 ~1989
312086571872519439 ~1991
31208939624178798 ~1989
31208951624179038 ~1989
31209803624196078 ~1989
312098512496788099 ~1991
31209911624198238 ~1989
31211231624224638 ~1989
31211903624238078 ~1989
31212457143577302310 ~1993
31212899624257998 ~1989
31213211624264238 ~1989
31213823624276478 ~1989
31214219624284398 ~1989
31214399624287998 ~1989
312152692497221539 ~1991
31215539624310798 ~1989
31216583624331678 ~1989
Exponent Prime Factor Digits Year
31217111624342238 ~1989
312183914994942579 ~1992
31219043624380878 ~1989
312192497492619779 ~1992
312206211873237279 ~1991
31220963624419278 ~1989
31221779624435598 ~1989
31221863624437278 ~1989
312226192497809539 ~1991
31223123624462478 ~1989
31223663624473278 ~1989
31224659624493198 ~1989
312247574995961139 ~1992
312250492498003939 ~1991
31225763624515278 ~1989
31226003624520078 ~1989
312262192498097539 ~1991
31226771624535438 ~1989
31227191624543838 ~1989
31228199624563998 ~1989
312287811873726879 ~1991
31229039624580798 ~1989
312297073122970719 ~1991
31231379624627598 ~1989
31231391624627838 ~1989
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