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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
242341148468237 ~1981
2423413145404798 ~1982
24234591793359679 ~1985
2423753145425198 ~1982
2423807193904578 ~1982
2423821387811378 ~1983
24238911357378979 ~1984
2423999193919938 ~1982
24240171357449539 ~1984
242408348481677 ~1981
2424089775708498 ~1984
2424137193930978 ~1982
2424259242425918 ~1983
242426348485277 ~1981
2424377727313118 ~1984
2424391242439118 ~1983
24244391163730739 ~1984
242474348494877 ~1981
2424743581938338
2424791630445678 ~1984
2424853533467678 ~1983
2424853727455918
2424997387999538 ~1983
24249971891497679
2425021145501278 ~1982
Exp. Prime Factor Digits Year
2425231242523118 ~1983
2425253145515198 ~1982
2425253582060738
242525948505197 ~1981
2425261145515678 ~1982
2425261388041778
2425301145518078 ~1982
2425399242539918 ~1983
2425613727683918 ~1984
2426041727812318 ~1984
2426057145563438 ~1982
2426399194111938 ~1982
242659148531837 ~1981
2426693145601598 ~1982
2426821145609278 ~1982
2426863388298098 ~1983
2426911388305778 ~1983
2427059194164738 ~1982
2427157145629438 ~1982
2427239194179138 ~1982
2427493145649598 ~1982
2427527194202178 ~1982
2427637145658238 ~1982
2427751388440178 ~1983
242777948555597 ~1981
Exp. Prime Factor Digits Year
2428033145681998 ~1982
24280435098890319 ~1986
242810348562077 ~1981
2428123971249218 ~1984
2428169777014098 ~1984
2428213145692798 ~1982
24282415245000579 ~1986
24282592962475999 ~1985
2428417145705038 ~1982
242845148569037 ~1981
24284571359935939 ~1984
2428667194293378 ~1982
24287111020058639 ~1984
242885948577197 ~1981
2428891242889118 ~1983
2428919437205438 ~1983
2428931194314498 ~1982
2428999825859678 ~1984
2429071242907118 ~1983
2429117194329378 ~1982
2429257145755438 ~1982
242927948585597 ~1981
2429333145759998 ~1982
2429341145760478 ~1982
242941148588237 ~1981
Exp. Prime Factor Digits Year
24294111214705519
2429681194374498 ~1982
2429893145793598 ~1982
24302231020693679 ~1984
2430557194444578 ~1982
2430581145834878 ~1982
2430611437509998 ~1983
2430817388930738 ~1983
243083948616797 ~1981
2430947194475778 ~1982
2431061145863678 ~1982
243113948622797 ~1981
243115148623037 ~1981
2431217145873038 ~1982
2431393145883598 ~1982
2431439437659038 ~1983
2431489534927598 ~1983
2431501145890078 ~1982
2431673145900398 ~1982
2431691194535298 ~1982
24317171118589839 ~1984
243181148636237 ~1981
24319872188788319 ~1985
2432041535049038 ~1983
2432069194565538 ~1982
435
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25-06-01