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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
34011443680228878 ~1990
34011563680231278 ~1990
34011683680233678 ~1990
340120072720960579 ~1991
340123134761723839 ~1992
34012463680249278 ~1990
34012931680258638 ~1990
34013351680267038 ~1990
340138734761942239 ~1992
34013951680279038 ~1990
340151412040908479 ~1991
34015259680305198 ~1990
34016351680327038 ~1990
34016663108853321710 ~1993
34018927115664351910 ~1993
34019603680392078 ~1990
340197793401977919 ~1992
34020419680408398 ~1990
34020803680416078 ~1990
34021409210932735910 ~1993
340216572041299439 ~1991
34021859680437198 ~1990
34022591108872291310 ~1993
340226172041357039 ~1991
34026263680525278 ~1990
Exponent Prime Factor Digits Year
34026331707747684910 ~1995
34026743680534878 ~1990
34027079680541598 ~1990
34027403680548078 ~1990
34027583680551678 ~1990
34027811680556238 ~1990
34029179680583598 ~1990
340292992722343939 ~1991
34029623680592478 ~1990
340305193403051919 ~1992
34030739680614798 ~1990
340313572041881439 ~1991
34031843680636878 ~1990
34032671680653438 ~1990
340340473403404719 ~1992
340342072722736579 ~1991
34034531680690638 ~1990
340345972042075839 ~1991
34034939680698798 ~1990
34035143680702878 ~1990
34035971680719438 ~1990
340366612722932899 ~1991
34037219680744398 ~1990
340379812042278879 ~1991
34038419680768398 ~1990
Exponent Prime Factor Digits Year
34039451680789038 ~1990
34040711680814238 ~1990
340409772042458639 ~1991
34041071680821438 ~1990
34041431680828638 ~1990
34041719680834398 ~1990
34041971680839438 ~1990
340423012042538079 ~1991
34043699680873998 ~1990
340444192723553539 ~1991
34045031680900638 ~1990
34045631680912638 ~1990
34045859680917198 ~1990
340461438171074339 ~1992
340475812723806499 ~1991
34047683680953678 ~1990
34048691680973838 ~1990
34050011681000238 ~1990
34050179681003598 ~1990
340501993405019919 ~1992
34050839681016798 ~1990
340513792724110339 ~1991
340521433405214319 ~1992
34053479681069598 ~1990
340545078173081699 ~1992
Exponent Prime Factor Digits Year
34054679681093598 ~1990
340549012043294079 ~1991
340555012043330079 ~1991
34055579681111598 ~1990
34055603681112078 ~1990
34056443681128878 ~1990
340576438173834339 ~1992
34057811681156238 ~1990
34059023681180478 ~1990
340590732043544399 ~1991
340598775449580339 ~1992
34060031333788303910 ~1994
34060931681218638 ~1990
34061099681221998 ~1990
34061711681234238 ~1990
34062251681245038 ~1990
34062683681253678 ~1990
34063091681261838 ~1990
34064819681296398 ~1990
34065131681302638 ~1990
34065359681307198 ~1990
34065539681310798 ~1990
340658812043952879 ~1991
34066523681330478 ~1990
340672378176136899 ~1992
1803
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25-03-23