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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
259554537786635919 ~1992
25955483519109678 ~1989
25955903519118078 ~1989
25956179519123598 ~1989
259561931557371599 ~1990
259565512076524099 ~1990
25956779519135598 ~1989
25957031519140638 ~1989
25957511519150238 ~1989
259585512595855119 ~1991
25958951519179038 ~1989
25958963519179278 ~1989
25959179519183598 ~1989
25959359519187198 ~1989
259607572076860579 ~1990
25960871519217438 ~1989
259612034153792499 ~1991
259613336230719939 ~1992
259616931557701599 ~1990
25961843519236878 ~1989
25962203519244078 ~1989
25962539519250798 ~1989
259625392077003139
25962551519251038 ~1989
25962719519254398 ~1989
Exponent Prime Factor Digits Year
25963079519261598 ~1989
25963559519271198 ~1989
25963583519271678 ~1989
25964531519290638 ~1989
25964663519293278 ~1989
25964843519296878 ~1989
259649511221...0772477816e3 2005
259653472077227779 ~1990
259655218308966739 ~1992
25965671519313438 ~1989
259657912077263299 ~1990
25965899519317998 ~1989
259665293635314079 ~1991
25966679519333598 ~1989
25967159519343198 ~1989
25968419519368398 ~1989
25969451519389038 ~1989
25970303519406078 ~1989
25970459519409198 ~1989
25970579519411598 ~1989
25970603519412078 ~1989
25970771519415438 ~1989
25970831519416638 ~1989
25971311519426238 ~1989
259720912077767299 ~1990
Exponent Prime Factor Digits Year
25972571519451438 ~1989
25973063519461278 ~1989
25973639519472798 ~1989
25974059519481198 ~1989
25974251519485038 ~1989
25974671519493438 ~1989
25974911519498238 ~1989
259749131558494799 ~1990
25976231519524638 ~1989
25976243519524878 ~1989
259770594675870639 ~1991
25977179519543598 ~1989
25977443519548878 ~1989
25978223519564478 ~1989
25978391519567838 ~1989
259790531558743199 ~1990
259790811558744879 ~1990
259792072078336579 ~1990
25979423519588478 ~1989
25979771519595438 ~1989
25979951519599038 ~1989
259799592597995919 ~1991
25980419436471039310 ~1994
25980599519611998 ~1989
259806731558840399 ~1990
Exponent Prime Factor Digits Year
25981079519621598 ~1989
25981799519635998 ~1989
25981979519639598 ~1989
25982039519640798 ~1989
25982483519649678 ~1989
25983059519661198 ~1989
25983071519661438 ~1989
25984163519683278 ~1989
25984223519684478 ~1989
259843331559059999 ~1990
25984883519697678 ~1989
259850872078806979 ~1990
25985111519702238 ~1989
25985159519703198 ~1989
25986143519722878 ~1989
25986263519725278 ~1989
259863611559181679 ~1990
25986371519727438 ~1989
25987151519743038 ~1989
25987427129937135110 ~1992
25987691519753838 ~1989
25988051519761038 ~1989
25988159519763198 ~1989
25988279519765598 ~1989
259887371559324239 ~1990
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25-06-08