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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
30111863602237278 ~1989
30112403602248078 ~1989
30113399602267998 ~1989
30113939602278798 ~1989
30114431602288638 ~1989
30115031602300638 ~1989
301151811806910879 ~1991
30115439602308798 ~1989
301155499034664719 ~1992
30116291602325838 ~1989
30116351602327038 ~1989
30116951602339038 ~1989
30117443602348878 ~1989
30117491602349838 ~1989
30117539602350798 ~1989
30118031602360638 ~1989
30118463602369278 ~1989
30118859602377198 ~1989
301194712409557699 ~1991
301196339035889919 ~1992
30120011602400238 ~1989
30120323602406478 ~1989
30121043602420878 ~1989
30121319602426398 ~1989
30121499602429998 ~1989
Exponent Prime Factor Digits Year
30121523602430478 ~1989
30121991602439838 ~1989
30122303602446078 ~1989
30122399602447998 ~1989
30122783602455678 ~1989
30123517210864619110 ~1993
301237033012370319 ~1991
301240012409920099 ~1991
301249571807497439 ~1991
301250272410002179 ~1991
30125339602506798 ~1989
30125663602513278 ~1989
30125999602519998 ~1989
30126059602521198 ~1989
30127403602548078 ~1989
30127931602558638 ~1989
30128051602561038 ~1989
30128099602561998 ~1989
30128159602563198 ~1989
30129299602585998 ~1989
30130283602605678 ~1989
30130343602606878 ~1989
30130643602612878 ~1989
30131243602624878 ~1989
30131603602632078 ~1989
Exponent Prime Factor Digits Year
30131999602639998 ~1989
30132359602647198 ~1989
301324075423833279 ~1992
30133199602663998 ~1989
301339372410714979 ~1991
30134411602688238 ~1989
30134603602692078 ~1989
30135299602705998 ~1989
30135383602707678 ~1989
301356131808136799 ~1991
30135659602713198 ~1989
30135971602719438 ~1989
30136283602725678 ~1989
301365772410926179 ~1991
30136751602735038 ~1989
30137483602749678 ~1989
301374892410999139 ~1991
30137759602755198 ~1989
301379272411034179 ~1991
30138131602762638 ~1989
30138371602767438 ~1989
301389731808338399 ~1991
30139523602790478 ~1989
30139799602795998 ~1989
30140399602807998 ~1989
Exponent Prime Factor Digits Year
30141071602821438 ~1989
30141803602836078 ~1989
30141851602837038 ~1989
30142883602857678 ~1989
301430811808584879 ~1991
30143111602862238 ~1989
30143411602868238 ~1989
301434712411477699 ~1991
301435499645935699 ~1992
301441731808650399 ~1991
30144503602890078 ~1989
30145151602903038 ~1989
30145763602915278 ~1989
30145883602917678 ~1989
30145943602918878 ~1989
301461472411691779 ~1991
301462731808776399 ~1991
301466474823463539 ~1992
30147083602941678 ~1989
30147311602946238 ~1989
30147671602953438 ~1989
301478572411828579 ~1991
30147967144710241710 ~1993
301481092411848739 ~1991
30148271602965438 ~1989
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25-03-23