Small Mersenne Prime Factors (page 1013/5985)

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
8974271	17948543	8	~1985
8974529	71796233	8	~1987
8974681	53848087	8	~1986
8975159	17950319	8	~1985
8975171	17950343	8	~1985
8975333	53851999	8	~1986
8975363	17950727	8	~1985
8975381	53852287	8	~1986
8975459	287214689	9	~1988
8975579	17951159	8	~1985
8975639	17951279	8	~1985
8975753	125660543	9	~1987
8975903	17951807	8	~1985
8976127	89761271	8	~1987
8976659	17953319	8	~1985
8976839	17953679	8	~1985
8977013	53862079	8	~1986
8977039	89770391	8	~1987
8977201	53863207	8	~1986
8977271	17954543	8	~1985
8977379	17954759	8	~1985
8977571	17955143	8	~1985
8977571	71820569	8
8977679	17955359	8	~1985
8977721	53866327	8	~1986

Exp.	Prime Factor	Digits	Year
8977763	17955527	8	~1985
8978171	17956343	8	~1985
8978323	89783231	8	~1987
8978381	53870287	8	~1986
8978663	17957327	8	~1985
8978759	17957519	8	~1985
8978831	17957663	8	~1985
8978891	17957783	8	~1985
8979359	17958719	8	~1985
8979371	71834969	8	~1987
8979611	17959223	8	~1985
8979857	53879143	8	~1986
8979923	17959847	8	~1985
8980109	125721527	9	~1987
8980319	17960639	8	~1985
8980429	197569439	9	~1988
8980441	143687057	9	~1988
8980501	53883007	8	~1986
8980667	71845337	8	~1987
8980943	17961887	8	~1985
8981279	17962559	8	~1985
8981783	17963567	8	~1985
8981939	17963879	8	~1985
8982241	53893447	8	~1986
8982317	71858537	8	~1987

Exp.	Prime Factor	Digits	Year
8982359	215576617	9	~1988
8982629	71861033	8	~1987
8982769	431172913	9	~1989
8982847	143725553	9	~1988
8982899	17965799	8	~1985
8983057	53898343	8	~1986
8983283	17966567	8	~1985
8983391	17966783	8	~1985
8983537	53901223	8	~1986
8983619	17967239	8	~1985
8983883	17967767	8	~1985
8984197	53905183	8	~1986
8984351	17968703	8	~1985
8984497	1060170647	10	~1990
8984531	233597807	9	~1988
8984593	53907559	8	~1986
8984609	71876873	8	~1987
8984711	17969423	8	~1985
8984879	17969759	8	~1985
8984957	71879657	8	~1987
8985023	17970047	8	~1985
8985161	71881289	8	~1987
8985211	161733799	9	~1988
8985241	53911447	8	~1986
8985253	53911519	8	~1986

Exp.	Prime Factor	Digits	Year
8985307	143764913	9	~1988
8985517	575073089	9	~1989
8986091	17972183	8	~1985
8986151	17972303	8	~1985
8986199	17972399	8	~1985
8986277	53917663	8	~1986
8986283	17972567	8	~1985
8986379	71891033	8	~1987
8986391	17972783	8	~1985
8986751	17973503	8	~1985
8986801	53920807	8	~1986
8986841	53921047	8	~1986
8986933	53921599	8	~1986
8986987	359479481	9	~1989
8987197	53923183	8	~1986
8987243	17974487	8	~1985
8987449	197723879	9	~1988
8987449	431397553	9
8987519	17975039	8	~1985
8987567	71900537	8	~1987
8987591	17975183	8	~1985
8987621	53925727	8	~1986
8988131	17976263	8	~1985
8988191	17976383	8	~1985
8988437	53930623	8	~1986

5.680.769 digits

26-07-05