Small Mersenne Prime Factors (page 989/5550)

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
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
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
8985307	143764913	9	~1988

Exp.	Prime Factor	Digits	Year
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	~1988
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
8988437	71907497	8

Exp.	Prime Factor	Digits	Year
8988557	71908457	8	~1987
8988613	53931679	8	~1986
8988839	17977679	8	~1985
8988877	53933263	8	~1986
8988989	71911913	8	~1987
8989199	71913593	8	~1987
8989237	53935423	8	~1986
8989499	17978999	8	~1985
8989621	53937727	8	~1986
8989691	161814439	9	~1988
8989763	17979527	8	~1985
8990039	71920313	8	~1987
8990041	197780903	9	~1988
8990153	53940919	8	~1986
8990257	53941543	8	~1986
8990411	71923289	8	~1987
8990563	89905631	8	~1987
8990777	53944663	8	~1986
8990843	17981687	8	~1985
8991197	53947183	8	~1986
8991239	17982479	8	~1985
8991347	71930777	8	~1987
8991347	449567351	9
8991371	17982743	8	~1985
8991743	17983487	8	~1985

Exp.	Prime Factor	Digits	Year
8991901	53951407	8	~1986
8992019	17984039	8	~1985
8992211	71937689	8	~1987
8992259	161860663	9	~1988
8992283	17984567	8	~1985
8992499	17984999	8	~1985
8992499	71939993	8
8992769	71942153	8	~1987
8992811	17985623	8	~1985
8992937	53957623	8	~1986
8993011	89930111	8	~1987
8993267	71946137	8	~1987
8993297	53959783	8	~1986
8993333	53959999	8	~1986
8993447	109666092719	12	~1995
8993471	71947769	8	~1987
8993723	17987447	8	~1985
8993737	53962423	8	~1986
8993861	71950889	8	~1987
8993951	17987903	8	~1985
8993981	71951849	8	~1987
8994473	53966839	8	~1986
8994497	71955977	8	~1987
8994593	125924303	9	~1987
8994659	17989319	8	~1985

5.247.179 digits

25-12-14