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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
541617591083235199 ~1991
54161797249144266310 ~1995
541620111083240239 ~1991
541626231083252479 ~1991
541627911083255839 ~1991
541670511083341039 ~1991
541676991083353999 ~1991
541679031083358079 ~1991
54167903487511127110
541684791083369599 ~1991
541686591083373199 ~1991
541695373250172239 ~1993
541717791083435599 ~1991
541721031083442079 ~1991
541740613250443679 ~1993
54174061812610915110
541743831083487679 ~1991
541746119751429999 ~1994
541769214334153699 ~1993
541772391083544799 ~1991
541792911083585839 ~1991
541793813250762879 ~1993
541794435417944319 ~1993
541801791083603599 ~1991
541801974334415779 ~1993
Exponent Prime Factor Digits Year
541804431083608879 ~1991
54180827130033984910 ~1994
541816933250901599 ~1993
541823631083647279 ~1991
541824079752833279 ~1994
541835991083671999 ~1991
541836013251016079 ~1993
541843035418430319 ~1993
541843494334747939 ~1993
541844214334753699 ~1993
541858377586017199 ~1993
541878111083756239 ~1991
541890174335121379 ~1993
541911711083823439 ~1991
541922533251535199 ~1993
541964511083929039 ~1991
541969911083939839 ~1991
541971831083943679 ~1991
541978813251872879 ~1993
541979991083959999 ~1991
541982991083965999 ~1991
541985631083971279 ~1991
541993333251959999 ~1993
541996431083992879 ~1991
542027511084055039 ~1991
Exponent Prime Factor Digits Year
542028738672459699 ~1994
542029791084059599 ~1991
542051991084103999 ~1991
542061373252368239 ~1993
542062311084124639 ~1991
542063031084126079 ~1991
542065431084130879 ~1991
542079773252478639 ~1993
542081511084163039 ~1991
542085231084170479 ~1991
542092373252554239 ~1993
542092733252556399 ~1993
542096115420961119 ~1993
542098431084196879 ~1991
542107311084214639 ~1991
542148831084297679 ~1991
542179573253077439 ~1993
542193373253160239 ~1993
542210991084421999 ~1991
54221107487989963110 ~1995
542218377591057199 ~1993
542227191084454399 ~1991
542228933253373599 ~1993
542232231084464479 ~1991
542234391084468799 ~1991
Exponent Prime Factor Digits Year
542244133253464799 ~1993
542254431084508879 ~1991
542254911084509839 ~1991
542256174338049379 ~1993
542272333253633999 ~1993
542272911084545839 ~1991
542281013253686079 ~1993
542302431084604879 ~1991
542309991084619999 ~1991
542311191084622399 ~1991
542312391084624799 ~1991
542315031084630079 ~1991
542318391084636799 ~1991
542320635423206319 ~1993
542326791084653599 ~1991
542343111084686239 ~1991
542348991084697999 ~1991
542350573254103439 ~1993
542351991084703999 ~1991
542357391084714799 ~1991
542359311084718639 ~1991
542362431084724879 ~1991
542364711084729439 ~1991
542366031084732079 ~1991
542369511084739039 ~1991
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25-05-04