Small Mersenne Prime Factors (page 622/6045)

Small Mersenne Prime Factors
Prime numbers of the form M_p= 2^p − 1 are called Mersenne primes. For M_p to be prime, p must also be prime.
Any factor q of a Mersenne number 2^p − 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
3977621	477314521	9	~1987
3977639	7955279	7	~1983
3977639	31821113	8
3977663	7955327	7	~1983
3977807	31822457	8	~1984
3977819	7955639	7	~1983
3977903	7955807	7	~1983
3978031	167077303	9	~1986
3978071	167078983	9	~1986
3978329	437616191	9	~1987
3978497	23870983	8	~1984
3978523	262582519	9	~1986
3978553	23871319	8	~1984
3978643	39786431	8	~1984
3978659	7957319	7	~1983
3978781	350132729	9	~1987
3978817	23872903	8	~1984
3978917	31831337	8	~1984
3979117	23874703	8	~1984
3979147	39791471	8	~1984
3979463	7958927	7	~1983
3979511	7959023	7	~1983
3979511	31836089	8
3979511	71631199	8
3979543	63672689	8	~1985

Exp.	Prime Factor	Digits	Year
3979889	55718447	8	~1985
3979981	23879887	8	~1984
3980113	23880679	8	~1984
3980479	71648623	8	~1985
3980521	23883127	8	~1984
3980653	87574367	8	~1985
3980891	7961783	7	~1983
3981301	63700817	8	~1985
3981503	262779199	9	~1986
3981539	7963079	7	~1983
3981617	23889703	8	~1984
3981641	127412513	9	~1986
3981683	95560393	8	~1985
3981683	127413857	9
3981883	159275321	9	~1986
3981959	7963919	7	~1983
3982171	63714737	8	~1985
3982631	7965263	7	~1983
3982697	55757759	8	~1985
3982739	7965479	7	~1983
3982763	7965527	7	~1983
3982931	7965863	7	~1983
3982999	71693983	8	~1985
3983123	7966247	7	~1983
3983279	7966559	7	~1983

Exp.	Prime Factor	Digits	Year
3983401	87634823	8	~1985
3983471	7966943	7	~1983
3983873	23903239	8	~1984
3983873	55774223	8
3983981	31871849	8	~1984
3983983	39839831	8	~1984
3984133	63746129	8	~1985
3984199	231083543	9	~1986
3984229	310769863	9	~1986
3984293	23905759	8	~1984
3984317	31874537	8	~1984
3984479	7968959	7	~1983
3984731	7969463	7	~1983
3984917	23909503	8	~1984
3984941	127518113	9	~1986
3984971	7969943	7	~1983
3984983	7969967	7	~1983
3985031	31880249	8	~1984
3985237	63763793	8	~1985
3985277	55793879	8	~1985
3985433	23912599	8	~1984
3985549	87682079	8	~1985
3985621	23913727	8	~1984
3985903	39859031	8	~1984
3985999	71747983	8	~1985

Exp.	Prime Factor	Digits	Year
3986051	7972103	7	~1983
3986231	71752159	8	~1985
3986263	39862631	8	~1984
3986273	23917639	8	~1984
3986513	23919079	8	~1984
3986531	31892249	8	~1984
3986663	7973327	7	~1983
3986677	119600311	9	~1985
3986677	11856377399	11
3986711	7973423	7	~1983
3986771	7973543	7	~1983
3986953	23921719	8	~1984
3987167	31897337	8	~1984
3987199	71769583	8	~1985
3987227	103667903	9	~1985
3987353	287089417	9	~1986
3987551	7975103	7	~1983
3987677	31901417	8	~1984
3987791	701851217	9	~1987
3987799	39877991	8	~1984
3987887	31903097	8	~1984
3987931	39879311	8	~1984
3987937	23927623	8	~1984
3987937	63806993	8
3988021	23928127	8	~1984

5.740.663 digits

26-08-02