Small Mersenne Prime Factors (page 591/5070)

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
3970331	7940663	7	~1982
3970531	63528497	8	~1985
3970643	7941287	7	~1982
3970657	158826281	9	~1986
3970679	7941359	7	~1982
3970691	7941383	7	~1982
3970739	31765913	8	~1984
3970751	7941503	7	~1982
3970781	23824687	8	~1984
3970859	7941719	7	~1982
3971393	95313433	8	~1985
3971459	7942919	7	~1983
3971483	7942967	7	~1983
3971621	23829727	8	~1984
3971731	71491159	8	~1985
3971833	23830999	8	~1984
3971861	31774889	8	~1984
3971879	7943759	7	~1983
3971879	31775033	8
3971911	63550577	8	~1985
3971911	71494399	8
3971963	7943927	7	~1983
3972071	7944143	7	~1983
3972523	63560369	8	~1985
3972533	413143433	9	~1987

Exp.	Prime Factor	Digits	Year
3972541	23835247	8	~1984
3972833	23836999	8	~1984
3972931	39729311	8	~1984
3972959	31783673	8	~1984
3973103	286063417	9	~1986
3973283	7946567	7	~1983
3973331	7946663	7	~1983
3973919	7947839	7	~1983
3973997	23843983	8	~1984
3974027	31792217	8	~1984
3974143	135120863	9	~1986
3974291	7948583	7	~1983
3974357	23846143	8	~1984
3974609	119238271	9	~1985
3974609	190781233	9
3974681	23848087	8	~1984
3974717	23848303	8	~1984
3974759	7949519	7	~1983
3974779	95394697	8	~1985
3974797	158991881	9	~1986
3975017	31800137	8	~1984
3975091	39750911	8	~1984
3975577	23853463	8	~1984
3975661	63610577	8	~1985
3975749	31805993	8	~1984

Exp.	Prime Factor	Digits	Year
3975779	31806233	8	~1984
3976169	55666367	8	~1985
3976783	63628529	8	~1985
3976927	39769271	8	~1984
3977063	7954127	7	~1983
3977159	7954319	7	~1983
3977293	23863759	8	~1984
3977431	71593759	8	~1985
3977503	39775031	8	~1984
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

Exp.	Prime Factor	Digits	Year
3978917	31831337	8	~1984
3979117	23874703	8	~1984
3979147	39791471	8	~1984
3979463	7958927	7	~1983
3979511	7959023	7	~1983
3979511	31836089	8
3979543	63672689	8	~1985
3979889	55718447	8	~1985
3979981	23879887	8	~1984
3980113	23880679	8	~1984
3980479	71648623	8	~1985
3980521	23883127	8	~1984
3980891	7961783	7	~1983
3981301	63700817	8	~1985
3981503	262779199	9	~1986
3981539	7963079	7	~1983
3981617	23889703	8	~1984
3981641	127412513	9	~1985
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

4.768.925 digits

25-05-04