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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
31168583623371678 ~1989
31168859623377198 ~1989
311699811870198879 ~1991
31170011623400238 ~1989
31170059623401198 ~1989
311705212493641699 ~1991
31171043623420878 ~1989
31171103623422078 ~1989
31171403623428078 ~1989
31172243623444878 ~1989
311722991097264924911 ~1995
311723571870341439 ~1991
31172579623451598 ~1989
31172903623458078 ~1989
31173371623467438 ~1989
311733971870403839 ~1991
311743971870463839 ~1991
31174439623488798 ~1989
31174691623493838 ~1989
311756931870541599 ~1991
311756992494055939 ~1991
31175759623515198 ~1989
31176371623527438 ~1989
31176683623533678 ~1989
31176923623538478 ~1989
Exponent Prime Factor Digits Year
31177703623554078 ~1989
31177823623556478 ~1989
31178039623560798 ~1989
31178711623574238 ~1989
311787614988601779 ~1992
31179023623580478 ~1989
31179119623582398 ~1989
31179359623587198 ~1989
31179539623590798 ~1989
31179719623594398 ~1989
31180343623606878 ~1989
31180511623610238 ~1989
31180739623614798 ~1989
31181159623623198 ~1989
311812012494496099 ~1991
31181231623624638 ~1989
311812371870874239 ~1991
311821131870926799 ~1991
31182191623643838 ~1989
31182251623645038 ~1989
311827971870967839 ~1991
31182839623656798 ~1989
31183079623661598 ~1989
311830799978585299
31183081143442172710 ~1993
Exponent Prime Factor Digits Year
311831896860301599 ~1992
31183403623668078 ~1989
31184039623680798 ~1989
31184459623689198 ~1989
311844675613204079 ~1992
31184663623693278 ~1989
31184771623695438 ~1989
31184819623696398 ~1989
31185503623710078 ~1989
311857331871143999 ~1991
31186703623734078 ~1989
31187059180884942310 ~1993
31187099623741998 ~1989
31187131124748524110 ~1993
31187543623750878 ~1989
31187951623759038 ~1989
311882473118824719 ~1991
31188431623768638 ~1989
311895592495164739 ~1991
31190063623801278 ~1989
31190111623802238 ~1989
31190303623806078 ~1989
31190363623807278 ~1989
31190531623810638 ~1989
31190591623811838 ~1989
Exponent Prime Factor Digits Year
311906694366693679 ~1992
31191431623828638 ~1989
31191683623833678 ~1989
311917811871506879 ~1991
31191971623839438 ~1989
31194503623890078 ~1989
31194743623894878 ~1989
31194791623895838 ~1989
311949136862880879 ~1992
311950131871700799 ~1991
311963572495708579 ~1991
31196699623933998 ~1989
31197203623944078 ~1989
31197239230859568710 ~1993
31197539623950798 ~1989
31197589149748427310 ~1993
31197851623957038 ~1989
31198151623963038 ~1989
31198259623965198 ~1989
31198319623966398 ~1989
311983192495865539
311987531871925199 ~1991
311996039983872979 ~1992
31199999623999998 ~1989
31200551624011038 ~1989
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25-03-23