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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
276787155357437 ~1981
2768011276801118 ~1983
276823155364637 ~1981
2768291498292398 ~1984
27684191328841139 ~1985
2768651221492098 ~1983
27686511328952499
2768789221503138 ~1983
27687914928447999 ~1986
276881955376397 ~1981
276893955378797 ~1981
2769001166140078 ~1982
276908355381677 ~1981
276944355388877 ~1981
2769619276961918 ~1983
276971955394397 ~1981
2769911221592898 ~1983
276998355399677 ~1981
2770091221607298 ~1983
277025955405197 ~1981
2770259221620738
2770267277026718 ~1983
277057155411437 ~1981
27705711329874099
2770769221661538 ~1983
Exp. Prime Factor Digits Year
2770769831230718
277103955420797 ~1981
2771057221684578 ~1983
2771117166267038 ~1982
27715333492131599 ~1986
2771957166317438 ~1982
277196355439277 ~1981
2771963720710398
2772017388082398 ~1983
2772061166323678 ~1982
2772137166328238 ~1982
2772227221778178 ~1983
277223955444797 ~1981
27723111386155519 ~1985
277238355447677 ~1981
2772409609929998 ~1984
2772457166347438 ~1982
2772571443611378 ~1983
2772697443631538 ~1983
2772767221821378 ~1983
277301955460397 ~1981
27731231164711679 ~1985
2773171499170798 ~1984
2773201610104238 ~1984
2773213166392798 ~1982
Exp. Prime Factor Digits Year
2773213831963918
27732315601926639 ~1986
2773249665579778 ~1984
2773273166396398 ~1982
2773301166398078 ~1982
2773387443741938 ~1983
2773523887527378 ~1984
277358355471677 ~1981
2773621443779378 ~1983
277367955473597 ~1981
2773921610262638 ~1984
277393155478637 ~1981
2774011443841778 ~1983
277427955485597 ~1981
2774411887811538 ~1984
277448355489677 ~1981
277454355490877 ~1981
2774713443954098 ~1983
2774713610436878
2774719277471918 ~1983
27747313773634179 ~1986
2774777166486638 ~1982
2774777221982178
2774897166493838 ~1982
277532355506477 ~1981
Exp. Prime Factor Digits Year
277535955507197 ~1981
2775389222031138 ~1983
2775449388562878 ~1983
27755931498820239 ~1985
2775637444101938 ~1984
2775713388599838 ~1983
2775761166545678 ~1982
2775841166550478 ~1982
277595955519197 ~1981
2776013388641838 ~1983
2776157166569438 ~1982
27761811998850339 ~1985
2776541222123298 ~1983
277675155535037 ~1981
2776801166608078 ~1982
2776817222145378 ~1983
2776841222147298 ~1983
277703955540797 ~1981
2777143666514338 ~1984
2777231222178498 ~1983
277730355546077 ~1981
2777387222190978 ~1983
27775811333238899 ~1985
2777597388863598 ~1983
27776991166633599 ~1985
472
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25-05-04