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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
44528051890561038 ~1991
44528171890563438 ~1991
44530331890606638 ~1991
44530439890608798 ~1991
44530859890617198 ~1991
445310572671863439 ~1992
44532017249379295310 ~1994
44532863890657278 ~1991
445328834453288319 ~1992
445340594453405919 ~1992
44534219890684398 ~1991
445348517125576179 ~1993
44537231890744638 ~1991
44537351890747038 ~1991
445384012672304079 ~1992
44538743890774878 ~1991
44539763890795278 ~1991
44539811890796238 ~1991
44540519890810398 ~1991
44540543890810878 ~1991
445410612672463679 ~1992
44544443890888878 ~1991
445447634454476319 ~1992
44545199890903998 ~1991
44545271890905438 ~1991
Exponent Prime Factor Digits Year
44545283890905678 ~1991
445457899800073599 ~1993
44545883890917678 ~1991
44547383890947678 ~1991
44548583890971678 ~1991
445486812672920879 ~1992
44550431891008638 ~1991
445506372673038239 ~1992
44553419891068398 ~1991
44553563891071278 ~1991
445536293564290339 ~1992
44555051891101038 ~1991
44555279891105598 ~1991
44555449106933077710 ~1993
44555639891112798 ~1991
44555999891119998 ~1991
44556839891136798 ~1991
44558159891163198 ~1991
445589474455894719 ~1992
44560031891200638 ~1991
44560991891219838 ~1991
44562071891241438 ~1991
44563283891265678 ~1991
44565791891315838 ~1991
44566811891336238 ~1991
Exponent Prime Factor Digits Year
44568899891377998 ~1991
44568907606137135310 ~1995
445697093565576739 ~1992
445706932674241599 ~1992
44571119891422398 ~1991
44571731891434638 ~1991
44574923891498478 ~1991
445753812674522879 ~1992
445764914457649119 ~1992
44577983891559678 ~1991
44578211891564238 ~1991
44578223891564478 ~1991
44578679891573598 ~1991
44579963891599278 ~1991
44580143891602878 ~1991
44581139891622798 ~1991
44582339891646798 ~1991
44582719187247419910 ~1994
445835772675014639 ~1992
44585171891703438 ~1991
44586491891729838 ~1991
44586539891730798 ~1991
44586589133759767110 ~1994
44587027151595891910 ~1994
44587943891758878 ~1991
Exponent Prime Factor Digits Year
445886837134189299 ~1993
44589431891788638 ~1991
445907096242699279 ~1993
44591219891824398 ~1991
44591363891827278 ~1991
44591819891836398 ~1991
445930612675583679 ~1992
44594579891891598 ~1991
44596913249742712910 ~1994
44598083891961678 ~1991
44598419891968398 ~1991
44600063321120453710 ~1995
446007478028134479 ~1993
446008132676048799 ~1992
44601743892034878 ~1991
44601923892038478 ~1991
44602331892046638 ~1991
44604671892093438 ~1991
44605343892106878 ~1991
44605703892114078 ~1991
446067532676405199 ~1992
44608211892164238 ~1991
446082293568658339 ~1992
44608871892177438 ~1991
44609219892184398 ~1991
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