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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
2858044435716088879 ~1997
2858121191200410899911 ~2000
285819377228655501710 ~1999
2858250491543455264711 ~2001
2858258035716516079 ~1997
285836737171502042310 ~1998
2858410195716820399 ~1997
285847241228677792910 ~1999
285848159228678527310 ~1999
285855197400197275910 ~1999
285859229228687383310 ~1999
285860273171516163910 ~1998
2858703115717406239 ~1997
285870791228696632910 ~1999
2858711995717423999 ~1997
2858729035717458079 ~1997
2858789271372218849711 ~2000
2858807995717615999 ~1997
2858844715717689439 ~1997
2858855635717711279 ~1997
2858896195717792399 ~1997
2858951995717903999 ~1997
2859064315718128639 ~1997
2859105715718211439 ~1997
285911273171546763910 ~1998
Exponent Prime Factor Digits Year
2859135715718271439 ~1997
285913679514644622310 ~1999
2859152515718305039 ~1997
2859173995718347999 ~1997
285923987514663176710 ~1999
2859245995718491999 ~1997
2859422035718844079 ~1997
285945689228756551310 ~1999
2859497995718995999 ~1997
2859606175662020216711 ~2002
285982561171589536710 ~1998
285983351228786680910 ~1999
285983683972344522310 ~2000
2859844315719688639 ~1997
2859847195719694399 ~1997
285988777171593266310 ~1998
2859899995719799999 ~1997
2859963235719926479 ~1997
285997147514794864710 ~1999
2859974035719948079 ~1997
2859982915719965839 ~1997
2859998395719996799 ~1997
286011029228808823310 ~1999
2860129315720258639 ~1997
2860160395720320799 ~1997
Exponent Prime Factor Digits Year
286018043915257737710 ~2000
286028609400440052710 ~1999
2860421035720842079 ~1997
2860452715720905439 ~1997
2860644595721289199 ~1997
2860783195721566399 ~1997
286081261171648756710 ~1998
2860832995721665999 ~1997
286091261228873008910 ~1999
2861044915722089839 ~1997
2861171515722343039 ~1997
2861185315722370639 ~1997
286119749400567648710 ~1999
286120463743913203910 ~2000
2861282635722565279 ~1997
2861396635722793279 ~1997
2861413915722827839 ~1997
286151867228921493710 ~1999
286161661171696996710 ~1998
2861808835723617679 ~1997
2861898595723797199 ~1997
286191133171714679910 ~1998
2861997595723995199 ~1997
2862089635724179279 ~1997
2862109795724219599 ~1997
Exponent Prime Factor Digits Year
286211921171727152710 ~1998
2862126115724252239 ~1997
2862169435724338879 ~1997
2862449515724899039 ~1997
2862498115724996239 ~1997
2862516835725033679 ~1997
2862542291145016916111 ~2000
286270981171762588710 ~1998
2862772795725545599 ~1997
286281337171768802310 ~1998
286297393171778435910 ~1998
2862976915725953839 ~1997
2863122595726245199 ~1997
286316923973477538310 ~2000
286321969687172725710 ~2000
2863293192576963871111 ~2001
2863379395726758799 ~1997
286344931286344931110 ~1999
2863622395727244799 ~1997
2863629715727259439 ~1997
2863825435727650879 ~1997
2863860115727720239 ~1997
2863942435727884879 ~1997
2863953835727907679 ~1997
2863967035727934079 ~1997
2928
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25-04-20