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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
734783511469567039 ~1992
734799774408798639 ~1994
734821311469642639 ~1992
734827975878623779 ~1994
734830311469660639 ~1992
734834511469669039 ~1992
734834631469669279 ~1992
734835415878683299 ~1994
73484513102878318310 ~1994
734854911469709839 ~1992
734861391469722799 ~1992
734874711469749439 ~1992
734887574409325439 ~1994
734901614409409679 ~1994
734925437349254319 ~1994
734932431469864879 ~1992
734939391469878799 ~1992
734944191469888399 ~1992
734947191469894399 ~1992
734960774409764639 ~1994
734966511469933039 ~1992
734992911469985839 ~1992
735004191470008399 ~1992
735006711470013439 ~1992
73501553235204969710 ~1995
Exponent Prime Factor Digits Year
73501891117603025710 ~1995
735043911470087839 ~1992
735056391470112799 ~1992
735091795880734339 ~1994
735095991470191999 ~1992
735097911470195839 ~1992
735114414410686479 ~1994
735117591470235199 ~1992
735136911470273839 ~1992
735141831470283679 ~1992
735159831470319679 ~1992
735184791470369599 ~1992
735200391470400799 ~1992
73521157338197322310 ~1996
735215511470431039 ~1992
735272395882179139 ~1994
735273231470546479 ~1992
73528333176467999310 ~1995
735289431470578879 ~1992
735293535514701475111 ~1999
735297077352970719 ~1994
73530409161766899910 ~1995
73534189176482053710 ~1995
735342831470685679 ~1992
735347391470694799 ~1992
Exponent Prime Factor Digits Year
735376431470752879 ~1992
735379911470759839 ~1992
735390231470780479 ~1992
735401934412411599 ~1994
73542583117668132910 ~1995
735447591470895199 ~1992
735456111470912239 ~1992
735464414412786479 ~1994
735465974412795839 ~1994
735526791471053599 ~1992
735527511471055039 ~1992
735536991471073999 ~1992
735538134413228799 ~1994
735541191471082399 ~1992
735547911471095839 ~1992
73556083294224332110 ~1996
735562431471124879 ~1992
735568911471137839 ~1992
735586375884690979 ~1994
735603231471206479 ~1992
735610015884880099 ~1994
735612231471224479 ~1992
735686991471373999 ~1992
735687231471374479 ~1992
735712191471424399 ~1992
Exponent Prime Factor Digits Year
735717414414304479 ~1994
735724311471448639 ~1992
735730791471461599 ~1992
735735231471470479 ~1992
735742191471484399 ~1992
735747711471495439 ~1992
735766214414597279 ~1994
735768231471536479 ~1992
735779717357797119 ~1994
735796191471592399 ~1992
735801134414806799 ~1994
735806031471612079 ~1992
735807231471614479 ~1992
735838431471676879 ~1992
735866511471733039 ~1992
735877191471754399 ~1992
73591643485704843910 ~1996
735920031471840079 ~1992
735932271957579838311 ~1998
735942591471885199 ~1992
735949191471898399 ~1992
73595983117753572910 ~1995
735962237359622319 ~1994
735981111471962239 ~1992
735998031471996079 ~1992
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25-06-08