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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
227369331364215999 ~1990
22737059454741198 ~1988
22738151454763038 ~1988
22738211150072192710 ~1992
22739351454787038 ~1988
22739459454789198 ~1988
227410931364465599 ~1990
22741151454823038 ~1988
22741331454826638 ~1988
227415314093475599 ~1991
22741703454834078 ~1988
22741811454836238 ~1988
227423333183926639 ~1990
22742339454846798 ~1988
22742663454853278 ~1988
227433731364602399 ~1990
22745111454902238 ~1988
22745291454905838 ~1988
22745951454919038 ~1988
227463131364778799 ~1990
22746611454932238 ~1988
22747031454940638 ~1988
22747463454949278 ~1988
227484594094722639 ~1991
227487792274877919 ~1990
Exponent Prime Factor Digits Year
22748783454975678 ~1988
22748801181990408110 ~1992
22748903454978078 ~1988
22749011454980238 ~1988
22749059454981198 ~1988
22749371454987438 ~1988
22749563454991278 ~1988
22749803454996078 ~1988
22749851454997038 ~1988
22749911454998238 ~1988
22749959454999198 ~1988
22750103455002078 ~1988
22750379455007598 ~1988
22750439455008798 ~1988
227508432275084319 ~1990
227510093185141279 ~1990
227512493185174879 ~1990
22752263455045278 ~1988
22752491455049838 ~1988
22753019455060398 ~1988
22753331455066638 ~1988
22754243455084878 ~1988
22754639455092798 ~1988
22754999455099998 ~1988
22755263455105278 ~1988
Exponent Prime Factor Digits Year
22755899455117998 ~1988
22755983455119678 ~1988
22756031455120638 ~1988
22756631455132638 ~1988
227567871820542979 ~1990
22757099455141998 ~1988
22757159455143198 ~1988
22757681177509911910 ~1992
22758863455177278 ~1988
227592672275926719 ~1990
227594331365565999 ~1990
22759559455191198 ~1988
22759619455192398 ~1988
22759871455197438 ~1988
22760183455203678 ~1988
227605674096902079 ~1991
227606691820853539 ~1990
22760891455217838 ~1988
22760999455219998 ~1988
22761227150224098310 ~1992
227613313641812979 ~1991
22761443455228878 ~1988
22761803455236078 ~1988
22762079455241598 ~1988
227621991820975939 ~1990
Exponent Prime Factor Digits Year
22762763455255278 ~1988
22763423455268478 ~1988
22763483455269678 ~1988
22763711455274238 ~1988
22763759455275198 ~1988
22764611455292238 ~1988
22764671455293438 ~1988
22765019455300398 ~1988
227652171365913039 ~1990
22765271455305438 ~1988
22765679455313598 ~1988
22765751455315038 ~1988
227662731365976399 ~1990
22766819455336398 ~1988
22767323455346478 ~1988
22767863455357278 ~1988
22767911455358238 ~1988
22767971455359438 ~1988
22768211455364238 ~1988
22769399455387998 ~1988
227695071821560579 ~1990
22769819455396398 ~1988
22770239455404798 ~1988
22770311455406238 ~1988
22770323455406478 ~1988
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