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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
17443931348878638 ~1988
17444411348888238 ~1988
174446713140040799 ~1990
17444891348897838 ~1988
174449931046699599 ~1989
174451197326949999 ~1991
174452711744527119 ~1989
174459731046758399 ~1989
174460071395680579 ~1989
17446027153525037710 ~1992
174460671395685379 ~1989
17446391348927838 ~1988
17446763348935278 ~1988
174469871744698719 ~1989
174472313140501599 ~1990
17447543348950878 ~1988
17447999348959998 ~1988
17448779348975598 ~1988
174487915583613139 ~1990
17448803348976078 ~1988
17448839348976798 ~1988
17449583348991678 ~1988
17449703348994078 ~1988
174498771395990179 ~1989
174499813838995839 ~1990
Exponent Prime Factor Digits Year
17450243349004878 ~1988
174504711396037699 ~1989
17451023349020478 ~1988
17451191349023838 ~1988
17451719349034398 ~1988
17451971349039438 ~1988
17452031349040638 ~1988
174521571047129439 ~1989
17452199349043998 ~1988
17452223349044478 ~1988
174526671396213379 ~1989
17452703349054078 ~1988
17453363349067278 ~1988
17453783349075678 ~1988
17454191349083838 ~1988
174542471745424719 ~1989
174544491396355939 ~1989
17454659349093198 ~1988
17454683349093678 ~1988
174546834538217599
17454743349094878 ~1988
174549191745491919 ~1989
17455019349100398 ~1988
174550371396402979 ~1989
174554111745541119 ~1989
Exponent Prime Factor Digits Year
17456111349122238 ~1988
174565671396525379 ~1989
17456591349131838 ~1988
174567715586166739 ~1990
17456843349136878 ~1988
17457311349146238 ~1988
17458019349160398 ~1988
17458211349164238 ~1988
17458979349179598 ~1988
17459111349182238 ~1988
174591731047550399 ~1989
17459411349188238 ~1988
17459471349189438 ~1988
174595931047575599 ~1989
174596211047577279 ~1989
174597234539527999 ~1990
17460143349202878 ~1988
174604131047624799 ~1989
17460491349209838 ~1988
17460983349219678 ~1988
174614411047686479 ~1989
17461679349233598 ~1988
17462303349246078 ~1988
17462363349247278 ~1988
17462891349257838 ~1988
Exponent Prime Factor Digits Year
17463599349271998 ~1988
17463623349272478 ~1988
17463839349276798 ~1988
17464043349280878 ~1988
17464103349282078 ~1988
174655191397241539 ~1989
17465951349319038 ~1988
17466731349334638 ~1988
174671834192123939 ~1990
17467259349345198 ~1988
17467283349345678 ~1988
17467679349353598 ~1988
17468183349363678 ~1988
17468351349367038 ~1988
174689874192556899 ~1990
17469059349381198 ~1988
17469071349381438 ~1988
17469131349382638 ~1988
174691311397530499
17469671349393438 ~1988
17470163349403278 ~1988
17470559349411198 ~1988
17471483349429678 ~1988
17472023349440478 ~1988
174721011397768099 ~1989
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25-07-08