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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.
Exp. Prime Factor Digits Year
56710191814726099
5671117340267038 ~1985
5671451453716098 ~1985
5671499113429998 ~1984
5671499453719938
5671579187162107110 ~1989
5671927907508338 ~1986
56719494537559219 ~1988
5672291113445838 ~1984
5672399113447998 ~1984
5672423113448478 ~1984
5672531113450638 ~1984
5672591113451838 ~1984
5672813340368798 ~1985
5672837340370238 ~1985
5672983567298318 ~1985
56729991021139839 ~1986
5673029794224078 ~1986
5673233340393998 ~1985
5673383113467678 ~1984
5673601340416078 ~1985
5673659113473198 ~1984
5673673340420398 ~1985
5673781907804978 ~1986
5673827453906178 ~1985
Exp. Prime Factor Digits Year
5673851113477038 ~1984
5674049453923938 ~1985
5674247453939778 ~1985
5674289453943138 ~1985
5674421340465278 ~1985
5674439113488798 ~1984
5674439453955138
5674463113489278 ~1984
5674631113492638 ~1984
5675063113501278 ~1984
5675489454039138 ~1985
56755131702653919 ~1987
5675599567559918 ~1985
5675723113514478 ~1984
5675843113516878 ~1984
56763132270525219 ~1987
5676371113527438 ~1984
5676641454131298 ~1985
5677079113541598 ~1984
5677163113543278 ~1984
5677193794807038 ~1986
5677261340635678 ~1985
5677289454183138 ~1985
56772891703186719
5677403113548078 ~1984
Exp. Prime Factor Digits Year
5677537340652238 ~1985
5677559113551198 ~1984
5677723908435698 ~1986
5677853340671198 ~1985
5677873908459698 ~1986
5677957908473138 ~1986
5678069454245538 ~1985
5678129794938078 ~1986
56782695791834399 ~1988
5678339113566798 ~1984
5678347567834718 ~1985
5678423113568478 ~1984
5678483113569678 ~1984
5678531113570638 ~1984
5678593340715598 ~1985
5678627454290178 ~1985
5678641340718478 ~1985
5678773340726398 ~1985
5678831113576638 ~1984
5678903113578078 ~1984
56789411249367039 ~1986
56789931703697919 ~1987
5679143113582878 ~1984
5679251454340098 ~1985
5679431454354498 ~1985
Exp. Prime Factor Digits Year
5679677340780638 ~1985
5680001454400098 ~1985
56800079542411779 ~1988
5680067454405378 ~1985
5680079113601598 ~1984
5680151113603038 ~1984
5680403113608078 ~1984
5680799113615998 ~1984
56808231477013999 ~1986
5680891568089118 ~1985
5681141340868478 ~1985
5681177340870638 ~1985
5681191908990578 ~1986
5681201454496098 ~1985
5681231454498498 ~1985
5681413340884798 ~1985
5681699454535938 ~1985
5681707142042675110 ~1989
56817373068137999 ~1987
5681899568189918 ~1985
5681939113638798 ~1984
56819391022749039
5682041454563298 ~1985
5682401340944078 ~1985
5682503113650078 ~1984
759
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26-02-08