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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
34004339680086798 ~1990
340045132040270799 ~1991
34004963680099278 ~1990
340050012040300079 ~1991
34005071680101438 ~1990
34005311680106238 ~1990
34006079680121598 ~1990
34006391680127838 ~1990
34007339680146798 ~1990
34007411680148238 ~1990
34007579680151598 ~1990
34009043680180878 ~1990
34009187170045935110 ~1993
34009931680198638 ~1990
34010759680215198 ~1990
34011443680228878 ~1990
34011563680231278 ~1990
34011623680232478 ~1990
34011683680233678 ~1990
340120072720960579 ~1991
34012271680245438 ~1990
340123134761723839 ~1992
34012463680249278 ~1990
34012931680258638 ~1990
34012991680259838 ~1990
Exponent Prime Factor Digits Year
34013351680267038 ~1990
34013519680270398 ~1990
34013663680273278 ~1990
340138734761942239 ~1992
34013951680279038 ~1990
340151412040908479 ~1991
34015259680305198 ~1990
34016351680327038 ~1990
34016519680330398 ~1990
34016663680333278 ~1990
34016663108853321710
34018199680363998 ~1990
34018619680372398 ~1990
34018927115664351910 ~1993
34019603680392078 ~1990
340197793401977919 ~1992
34019879680397598 ~1990
34020023680400478 ~1990
34020419680408398 ~1990
34020743680414878 ~1990
34020803680416078 ~1990
34021409210932735910 ~1993
340216572041299439 ~1991
34021859680437198 ~1990
34022123680442478 ~1990
Exponent Prime Factor Digits Year
34022591108872291310 ~1993
34022603680452078 ~1990
340226172041357039 ~1991
34023023680460478 ~1990
34025363680507278 ~1990
34026263680525278 ~1990
34026331707747684910 ~1995
34026563680531278 ~1990
34026659680533198 ~1990
34026743680534878 ~1990
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
Exponent Prime Factor Digits Year
340340473403404719 ~1992
340342072722736579 ~1991
34034531680690638 ~1990
340345972042075839 ~1991
34034699680693998 ~1990
34034939680698798 ~1990
34035143680702878 ~1990
34035971680719438 ~1990
34036511680730238 ~1990
340366612722932899 ~1991
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
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26-01-11