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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
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
2514713754413918 ~1984
251473150294637 ~1981
2514959804786898 ~1984
2515013352101838 ~1983
2515237150914238 ~1982
251528350305677 ~1981
251531950306397 ~1981
Exp. Prime Factor Digits Year
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
2517239201379138 ~1982
2517283402765298 ~1983
2517283604147938
2517407201392578 ~1982
2517637151058238 ~1982
2517797151067838 ~1982
2518081151084878 ~1982
Exp. Prime Factor Digits Year
2518093402894898 ~1983
2518133151087998 ~1982
2518163805812178 ~1984
2518237402917938 ~1983
251825950365197 ~1981
2518267251826718 ~1983
251831950366397 ~1981
251839150367837 ~1981
2518577201486178 ~1982
2518783251878318 ~1983
2518793151127598 ~1982
251882350376477 ~1981
2518949352652878 ~1983
25189731561763279 ~1985
25189732569352479
2519021806086738 ~1984
2519047604571298 ~1984
2519107251910718 ~1983
251917150383437 ~1981
2519177151150638 ~1982
2519189201535138 ~1982
2519221151153278 ~1982
2519369755810718 ~1984
2519453151167198 ~1982
2519453352723438
Exp. Prime Factor Digits Year
251957950391597 ~1981
251959150391837 ~1981
251960350392077 ~1981
251965150393037 ~1981
2519747453554478 ~1983
2519767251976718 ~1983
25198731562321279 ~1985
2520121151207278 ~1982
2520257604861698 ~1984
252026350405277 ~1981
252038350407677 ~1981
25204332822884979 ~1985
2520443806541778 ~1984
252050350410077 ~1981
252067150413437 ~1981
2520689604965378 ~1984
2520697151241838 ~1982
252077950415597 ~1981
2520781151246878 ~1982
2520853403336498 ~1983
2520971201677698 ~1982
252101950420397 ~1981
25214172370131999 ~1985
252145150429037 ~1981
2521711252171118 ~1983
444
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25-05-04