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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.
Exp. Prime Factor Digits Year
86967673478706819 ~1988
8696939173938798 ~1985
8696999695759938 ~1987
8697097521825838 ~1986
8697551695804098 ~1987
86976131913474879 ~1988
86979372087504899 ~1988
8697971173959438 ~1985
8698037695842978 ~1987
8698223173964478 ~1985
8698253234852831110 ~1990
8698451173969038 ~1985
8698499173969998 ~1985
8698559173971198 ~1985
8698961695916898 ~1987
8699039173980798 ~1985
8699051695924098 ~1987
86991432087794339 ~1988
8699219173984398 ~1985
8699279173985598 ~1985
86992791565870239
8699413521964798 ~1986
8699501521970078 ~1986
86999691217995679 ~1987
8700071696005698 ~1987
Exp. Prime Factor Digits Year
8700113522006798 ~1986
8700457522027438 ~1986
8700539174010798 ~1985
8700581696046498 ~1987
87008713654365839 ~1988
8701067696085378 ~1987
8701081522064878 ~1986
8701117522067038 ~1986
87011411392182579 ~1987
8701409696112738 ~1987
8701657522099438 ~1986
8701747870174718 ~1987
8701991174039838 ~1985
8702231174044638 ~1985
8702279174045598 ~1985
8702371870237118 ~1987
8702483174049678 ~1985
8702557522153438 ~1986
87027771218388799 ~1987
8702833522169998 ~1986
8703257696260578 ~1987
87035514177704499 ~1989
8703613522216798 ~1986
8703659174073198 ~1985
8703743174074878 ~1985
Exp. Prime Factor Digits Year
8703911174078238 ~1985
87040492088971779 ~1988
8704183175824496710 ~1990
87043033655807279 ~1988
8704559696364738 ~1987
8704951870495118 ~1987
8705111696408898 ~1987
8705219174104398 ~1985
8705237522314238 ~1986
8705311870531118 ~1987
8705369696429538 ~1987
8705443870544318 ~1987
87054616093822719 ~1989
8705531174110638 ~1985
8705803870580318 ~1987
8705831174116638 ~1985
87062512786000339 ~1988
8706337522380238 ~1986
87064191567155439 ~1988
8706479174129598 ~1985
8706479696518338
8706611174132238 ~1985
8707241522434478 ~1986
87076072089825699 ~1988
8707631174152638 ~1985
Exp. Prime Factor Digits Year
8707763174155278 ~1985
8707793522467598 ~1986
8707877522472638 ~1986
87080692786582099 ~1988
8708081522484878 ~1986
87085271393364339 ~1987
8708537696682978 ~1987
8708663174173278 ~1985
8708831174176638 ~1985
8708969696717538 ~1987
8709383174187678 ~1985
8709443174188878 ~1985
8709509696760738 ~1987
87095532612865919 ~1988
8709713522582798 ~1986
8709971174199438 ~1985
8709973522598398 ~1986
8710061696804898 ~1987
8710193522611598 ~1986
8710277522616638 ~1986
8710333522619998 ~1986
8710343174206878 ~1985
87105672090536099 ~1988
8710631174212638 ~1985
8710679174213598 ~1985
967
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25-11-17