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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
11241239224824798 ~1986
11241239899299138
11241383224827678 ~1986
112413833597242579
112418591124185919 ~1988
11241959224839198 ~1986
11242163224843278 ~1986
11242481674548878 ~1987
11242481899398498
112425492698211779 ~1989
11242589899407138 ~1988
11242619899409538 ~1988
11242717674563038 ~1987
11242993674579598 ~1987
11242997674579838 ~1987
11243051224861038 ~1986
112430872023755679 ~1988
112432992023793839 ~1988
112435931798974899 ~1988
11243641674618478 ~1987
11243651224873038 ~1986
11243663224873278 ~1986
11243759224875198 ~1986
11243891224877838 ~1986
11244071224881438 ~1986
Exponent Prime Factor Digits Year
11244419224888398 ~1986
11245523224910478 ~1986
11245991224919838 ~1986
11246413674784798 ~1987
11246941674816478 ~1987
112472112024497999 ~1988
11247503224950078 ~1986
112478093374342719 ~1989
112479792024636239 ~1988
11248043224960878 ~1986
11248283224965678 ~1986
11248631224972638 ~1986
112489271799828339 ~1988
112489874499594819 ~1989
11249741674984478 ~1987
112498092699954179 ~1989
112498271124982719 ~1988
11249951224999038 ~1986
11249977674998638 ~1987
11250011900000898 ~1988
112503191125031919 ~1988
11250671225013438 ~1986
11250839225016798 ~1986
11251379225027598 ~1986
11251693675101598 ~1987
Exponent Prime Factor Digits Year
11251763225035278 ~1986
11251837675110238 ~1987
11251897675113838 ~1987
11251931225038638 ~1986
11252459225049198 ~1986
11252621900209698 ~1988
11252723225054478 ~1986
11253191225063838 ~1986
11253239225064798 ~1986
11254163225083278 ~1986
11254301675258078 ~1987
112546095402212339 ~1989
11255117675307038 ~1987
11255177900414178 ~1988
11255399225107998 ~1986
112557794502311619 ~1989
11256071225121438 ~1986
11256083225121678 ~1986
11256191225123838 ~1986
112566531575931439 ~1988
11256697675401838 ~1987
11257079225141598 ~1986
11257751225155038 ~1986
11257801675468078 ~1987
11258161675489678 ~1987
Exponent Prime Factor Digits Year
11258237675494238 ~1987
11258651225173038 ~1986
11258759225175198 ~1986
11259181675550878 ~1987
11259401675564078 ~1987
11259971225199438 ~1986
11260019225200398 ~1986
11260241675614478 ~1987
11260499225209998 ~1986
112606631126066319 ~1988
11260741675644478 ~1987
11261219225224398 ~1986
11261231225224638 ~1986
11261279900902338 ~1988
112614775405508979 ~1989
11261543225230878 ~1986
112615631126156319 ~1988
11261891225237838 ~1986
11262131225242638 ~1986
11262257168933855110 ~1991
11262299225245998 ~1986
11263237675794238 ~1987
11263319225266398 ~1986
11263379225267598 ~1986
11263559225271198 ~1986
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25-05-04