Small Mersenne Prime Factors (page 594/5160)

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
3967351	642710863	9	~1987
3967499	7934999	7	~1983
3967571	7935143	7	~1983
3967627	39676271	8	~1984
3967679	7935359	7	~1983
3967793	23806759	8	~1984
3967811	7935623	7	~1983
3967913	23807479	8	~1984
3968183	7936367	7	~1983
3968227	39682271	8	~1984
3968291	7936583	7	~1983
3968339	31746713	8	~1984
3968381	31747049	8	~1984
3968387	317470961	9	~1986
3968411	7936823	7	~1983
3968483	7936967	7	~1983
3968543	7937087	7	~1983
3968567	103182743	9	~1985
3968617	23811703	8	~1984
3968717	23812303	8	~1984
3968819	7937639	7	~1983
3969071	103195847	9	~1985
3969137	31753097	8	~1984
3969151	39691511	8	~1984
3969263	7938527	7	~1983

Exp.	Prime Factor	Digits	Year
3969349	762115009	9	~1987
3969419	7938839	7	~1983
3969611	7939223	7	~1983
3969659	7939319	7	~1983
3969737	55576319	8	~1985
3969863	7939727	7	~1983
3969863	222312329	9
3969923	7939847	7	~1983
3969943	39699431	8	~1984
3970033	63520529	8	~1985
3970121	31760969	8	~1984
3970199	7940399	7	~1983
3970223	7940447	7	~1983
3970331	7940663	7	~1983
3970531	63528497	8	~1985
3970643	7941287	7	~1983
3970657	158826281	9	~1986
3970679	7941359	7	~1983
3970691	7941383	7	~1983
3970739	31765913	8	~1984
3970751	7941503	7	~1983
3970781	23824687	8	~1984
3970859	7941719	7	~1983
3971393	95313433	8	~1985
3971459	7942919	7	~1983

Exp.	Prime Factor	Digits	Year
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
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

Exp.	Prime Factor	Digits	Year
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
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
3977293	95455033	8
3977431	71593759	8	~1985
3977503	39775031	8	~1984
3977639	7955279	7	~1983
3977639	31821113	8

4.858.378 digits

25-06-15