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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
34508711690174238 ~1990
34508723690174478 ~1990
34508879690177598 ~1990
34509121158741956710 ~1993
34509383690187678 ~1990
34509539690190798 ~1990
345097732070586399 ~1991
34510919690218398 ~1990
34511423690228478 ~1990
34511531690230638 ~1990
34513151690263038 ~1990
34514903255410282310 ~1994
34514999690299998 ~1990
34515119690302398 ~1990
34515359690307198 ~1990
34515671690313438 ~1990
345160372070962239 ~1991
34516067193289975310 ~1993
34516199690323998 ~1990
34516211690324238 ~1990
34516439690328798 ~1990
34516679690333598 ~1990
34518119690362398 ~1990
34518311690366238 ~1990
34518479690369598 ~1990
Exponent Prime Factor Digits Year
34518511662755411310 ~1995
345191392761531139 ~1991
34519223690384478 ~1990
34519763690395278 ~1990
345197694832767679 ~1992
34519799690395998 ~1990
34521419690428398 ~1990
34521659690433198 ~1990
34522079690441598 ~1990
34522391690447838 ~1990
34522751690455038 ~1990
34523003690460078 ~1990
345230812071384879 ~1991
345232192761857539 ~1991
34524323690486478 ~1990
345247974833471599 ~1992
345248716214476799 ~1992
34524923690498478 ~1990
34525391690507838 ~1990
34525499690509998 ~1990
34525811690516238 ~1990
34525919690518398 ~1990
34527359690547198 ~1990
34527659690553198 ~1990
34527851690557038 ~1990
Exponent Prime Factor Digits Year
34528199690563998 ~1990
345282316215081599 ~1992
34528463690569278 ~1990
345285412071712479 ~1991
34529123690582478 ~1990
34529471690589438 ~1990
34530071690601438 ~1990
34530539690610798 ~1990
34530563690611278 ~1990
34530911690618238 ~1990
34531019690620398 ~1990
34531043690620878 ~1990
34531391690627838 ~1990
34531439690628798 ~1990
34531691690633838 ~1990
34531823690636478 ~1990
34532843690656878 ~1990
34533311690666238 ~1990
34533371690667438 ~1990
34533539690670798 ~1990
34533731690674638 ~1990
34534943690698878 ~1990
34534991690699838 ~1990
345361212072167279 ~1991
345363015525808179 ~1992
Exponent Prime Factor Digits Year
345365212072191279 ~1991
34536863690737278 ~1990
34537511690750238 ~1990
34537799690755998 ~1990
34538183690763678 ~1990
34538711690774238 ~1990
34540199690803998 ~1990
345408972072453839 ~1991
34541063690821278 ~1990
34541459690829198 ~1990
34542083690841678 ~1990
34542143690842878 ~1990
345424912763399299 ~1991
34542611690852238 ~1990
34542899690857998 ~1990
345446812763574499 ~1991
345451932072711599 ~1991
34545443690908878 ~1990
345456012072736079 ~1991
34545779690915598 ~1990
34545911690918238 ~1990
345459412763675299 ~1991
34546223690924478 ~1990
345463672763709379 ~1991
345464412072786479 ~1991
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25-10-20