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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
109837613295128319 ~1989
10983809878704738 ~1987
10984031878722498 ~1987
10984283219685678 ~1986
10984361659061678 ~1987
10984751219695038 ~1986
109849215272762099 ~1989
10984931219698638 ~1986
109850471098504719 ~1988
10985531219710638 ~1986
10985699219713998 ~1986
109859591098595919 ~1988
10985981659158878 ~1987
10986623219732478 ~1986
10986659219733198 ~1986
109871772636922499 ~1989
10987523219750478 ~1986
10988363219767278 ~1986
10988591219771838 ~1986
10988639219772798 ~1986
10988819219776398 ~1986
10989269879141538 ~1987
10989659219793198 ~1986
10989971219799438 ~1986
10990013659400798 ~1987
Exponent Prime Factor Digits Year
109901417912901539 ~1990
10990261659415678 ~1987
10990457659427438 ~1987
10990751879260098 ~1987
10991339219826798 ~1986
10991459879316738 ~1987
10991663219833278 ~1986
10992277659536638 ~1987
10992473659548398 ~1987
109924971538949599 ~1988
10992911219858238 ~1986
10993133659587998 ~1987
109932171539050399 ~1988
10993319219866398 ~1986
10993439219868798 ~1986
10993583219871678 ~1986
10993739219874798 ~1986
10994183219883678 ~1986
109943632858534399 ~1989
10994681879574498 ~1987
10995001659700078 ~1987
10995443219908878 ~1986
10995599219911998 ~1986
10996019219920398 ~1986
10996091219921838 ~1986
Exponent Prime Factor Digits Year
10996319219926398 ~1986
10996417659785038 ~1987
109968711979436799 ~1988
10997543219950878 ~1986
10997711219954238 ~1986
10997879219957598 ~1986
10998191219963838 ~1986
109982591099825919 ~1988
10998551219971038 ~1986
10998973659938398 ~1987
109989731759835699
10999211219984238 ~1986
10999283219985678 ~1986
10999463219989278 ~1986
10999501659970078 ~1987
10999811219996238 ~1986
11000113660006798 ~1987
11000401660024078 ~1987
11000603220012078 ~1986
11000651220013038 ~1986
110009171760146739 ~1988
11000993660059598 ~1987
11001181660070878 ~1987
11001443220028878 ~1986
110015693300470719 ~1989
Exponent Prime Factor Digits Year
11001719220034398 ~1986
110022191100221919 ~1988
11002499880199938 ~1987
11002583220051678 ~1986
11002679220053598 ~1986
11003483220069678 ~1986
11003513660210798 ~1987
11003519220070398 ~1986
11003903220078078 ~1986
11004263220085278 ~1986
11004647880371778 ~1987
11004671220093438 ~1986
110046731952228990311 ~1993
11005019220100398 ~1986
11005259220105198 ~1986
11005283220105678 ~1986
110053871980969679 ~1988
11005619220112398 ~1986
11005679220113598 ~1986
11005751220115038 ~1986
110070671761130739 ~1988
11007383220147678 ~1986
11007481660448878 ~1987
11007637660458238 ~1987
110077511100775119 ~1988
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