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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
2508073551776078 ~1983
2508167200653378 ~1982
2508277752483118 ~1984
2508293150497598 ~1982
2508383652179598 ~1984
2508433551855278 ~1983
2508557200684578 ~1982
2508581752574318 ~1984
250874350174877 ~1981
2509079451634238 ~1983
250910350182077 ~1981
250916350183277 ~1981
250927150185437 ~1981
2509279250927918 ~1983
2509337150560238 ~1982
250949950189997 ~1981
2509627250962718 ~1983
2509627401540338
2509777150586638 ~1982
2509841150590478 ~1982
2509861150591678 ~1982
2509963250996318 ~1983
2509993150599598 ~1982
25100511405628579 ~1984
251017150203437 ~1981
Exp. Prime Factor Digits Year
25102193062467199 ~1985
2510309602474178 ~1984
2510533150631998 ~1982
251059150211837 ~1981
2510609200848738 ~1982
251072350214477 ~1981
2510731251073118 ~1983
25107311205150899
2510741150644478 ~1982
251077150215437 ~1981
25108033615556339 ~1985
2511017954186478 ~1984
251108350221677 ~1981
25111335574715279 ~1986
2511167200893378 ~1982
2511407200912578 ~1982
2511521150691278 ~1982
251177950235597 ~1981
251185150237037 ~1981
251201950240397 ~1981
2512063251206318 ~1983
2512117150727038 ~1982
251228350245677 ~1981
2512297602951298 ~1984
2512303854183038 ~1984
Exp. Prime Factor Digits Year
251234350246877 ~1981
251240350248077 ~1981
2512513150750798 ~1982
251273950254797 ~1981
2512813150768798 ~1982
2512843603082338 ~1984
2513039201043138 ~1982
25130395629207379
251305150261037 ~1981
25130831005233219 ~1984
25134612965883999 ~1985
2513557150813438 ~1982
2513557754067118
251357950271597 ~1981
2513677150820638 ~1982
2513839251383918 ~1983
2513887251388718 ~1983
2514059201124738 ~1982
2514163251416318 ~1983
25142694374828079 ~1986
251429950285997 ~1981
2514313150858798 ~1982
2514451452601198 ~1983
2514467452604078 ~1983
2514599452627838 ~1983
Exp. Prime Factor Digits Year
2514713754413918 ~1984
251473150294637 ~1981
2514959804786898 ~1984
2515013352101838 ~1983
2515237150914238 ~1982
251528350305677 ~1981
251531950306397 ~1981
2515453603708738 ~1984
2515561150933678 ~1982
251570350314077 ~1981
2515817150949038 ~1982
2516273352278238 ~1983
2516377150982638 ~1982
251641150328237 ~1981
2516447201315778 ~1982
2516497150989838 ~1982
251654350330877 ~1981
2516713151002798 ~1982
251677150335437 ~1981
251696350339277 ~1981
2517079604098978 ~1984
2517127402740338 ~1983
2517149604115778 ~1984
2517161201372898 ~1982
2517211251721118 ~1983
442
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25-04-06