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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
34027079680541598 ~1990
34027379680547598 ~1990
34027403680548078 ~1990
34027439680548798 ~1990
34027583680551678 ~1990
34027811680556238 ~1990
34029119680582398 ~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
34034699680693998 ~1990
34034939680698798 ~1990
34035143680702878 ~1990
34035971680719438 ~1990
34036511680730238 ~1990
340366612722932899 ~1991
Exponent Prime Factor Digits Year
34037219680744398 ~1990
34037771680755438 ~1990
340379812042278879 ~1991
34038239680764798 ~1990
34038299680765998 ~1990
34038419680768398 ~1990
34038923680778478 ~1990
34038971680779438 ~1990
34039451680789038 ~1990
340399212042395279 ~1991
34040183680803678 ~1990
34040711680814238 ~1990
34040771680815438 ~1990
340409772042458639 ~1991
34041071680821438 ~1990
34041431680828638 ~1990
34041719680834398 ~1990
34041971680839438 ~1990
340423012042538079 ~1991
34043699680873998 ~1990
340444192723553539 ~1991
34045031680900638 ~1990
34045631680912638 ~1990
34045859680917198 ~1990
34046063680921278 ~1990
Exponent Prime Factor Digits Year
340461438171074339 ~1992
34046891680937838 ~1990
340475812723806499 ~1991
34047683680953678 ~1990
34048691680973838 ~1990
34050011681000238 ~1990
34050179681003598 ~1990
340501993405019919 ~1992
34050839681016798 ~1990
34051019681020398 ~1990
340513792724110339 ~1991
340521433405214319 ~1992
34052159681043198 ~1990
34053191681063838 ~1990
34053479681069598 ~1990
34053791681075838 ~1990
34053863681077278 ~1990
340545078173081699 ~1992
34054679681093598 ~1990
34054703681094078 ~1990
340549012043294079 ~1991
340555012043330079 ~1991
34055519681110398 ~1990
34055579681111598 ~1990
34055603681112078 ~1990
Exponent Prime Factor Digits Year
34056443681128878 ~1990
340576438173834339 ~1992
34057799681155998 ~1990
34057811681156238 ~1990
34059023681180478 ~1990
340590732043544399 ~1991
34059671681193438 ~1990
340598775449580339 ~1992
34060031333788303910 ~1994
34060259681205198 ~1990
34060931681218638 ~1990
34061003681220078 ~1990
34061099681221998 ~1990
34061711681234238 ~1990
34061831681236638 ~1990
34062251681245038 ~1990
34062659681253198 ~1990
34062683681253678 ~1990
34063091681261838 ~1990
34063499681269998 ~1990
34063811681276238 ~1990
34064711681294238 ~1990
34064819681296398 ~1990
34065131681302638 ~1990
34065359681307198 ~1990
1913
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25-12-14