Small Mersenne Prime Factors (page 955/6015)

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
8095441	48572647	8	~1986
8095469	64763753	8	~1986
8096041	129536657	9	~1987
8096171	16192343	8	~1985
8096183	16192367	8	~1985
8096197	48577183	8	~1986
8096219	64769753	8	~1986
8096381	48578287	8	~1986
8096533	48579199	8	~1986
8096999	16193999	8	~1985
8097077	64776617	8	~1986
8097143	16194287	8	~1985
8097161	48582967	8	~1986
8097307	80973071	8	~1987
8097361	48584167	8	~1986
8097581	48585487	8	~1986
8097637	242929111	9	~1988
8097697	48586183	8	~1986
8097941	48587647	8	~1986
8098091	64784729	8	~1986
8098253	113375543	9	~1987
8098367	64786937	8	~1986
8098537	242956111	9	~1988
8098619	16197239	8	~1985
8098897	48593383	8	~1986

Exp.	Prime Factor	Digits	Year
8099141	64793129	8	~1986
8099219	599342207	9	~1989
8099363	16198727	8	~1985
8099387	210584063	9	~1988
8099419	80994191	8	~1987
8099537	48597223	8	~1986
8099603	16199207	8	~1985
8099771	16199543	8	~1985
8100097	48600583	8	~1986
8100217	129603473	9	~1987
8100359	16200719	8	~1985
8100413	48602479	8	~1986
8100419	16200839	8	~1985
8100629	64805033	8	~1986
8100637	48603823	8	~1986
8100731	16201463	8	~1985
8100803	16201607	8	~1985
8101031	16202063	8	~1985
8101057	129616913	9	~1987
8101133	48606799	8	~1986
8101283	16202567	8	~1985
8101637	64813097	8	~1986
8101783	81017831	8	~1987
8101811	16203623	8	~1985
8102441	48614647	8	~1986

Exp.	Prime Factor	Digits	Year
8102459	16204919	8	~1985
8102579	16205159	8	~1985
8102579	405128951	9
8102639	16205279	8	~1985
8102713	48616279	8	~1986
8102723	16205447	8	~1985
8103071	16206143	8	~1985
8103083	16206167	8	~1985
8103187	81031871	8	~1987
8103239	16206479	8	~1985
8103311	16206623	8	~1985
8103323	16206647	8	~1985
8103553	48621319	8	~1986
8103631	129658097	9	~1987
8103761	64830089	8	~1986
8103941	48623647	8	~1986
8103983	16207967	8	~1985
8104559	16209119	8	~1985
8104619	16209239	8	~1985
8104753	129676049	9	~1987
8105051	64840409	8	~1986
8105063	16210127	8	~1985
8105099	16210199	8	~1985
8105261	48631567	8	~1986
8105599	81055991	8	~1987

Exp.	Prime Factor	Digits	Year
8105621	48633727	8	~1986
8106181	324247241	9	~1988
8106389	7003920097	10	~1991
8106443	16212887	8	~1985
8106491	16212983	8	~1985
8106533	113491463	9	~1987
8106599	64852793	8	~1986
8106803	16213607	8	~1985
8106947	64855577	8	~1986
8107103	16214207	8	~1985
8107139	16214279	8	~1985
8107157	48642943	8	~1986
8107817	48646903	8	~1986
8107943	16215887	8	~1985
8108161	48648967	8	~1986
8108207	64865657	8	~1986
8108501	48651007	8	~1986
8108533	48651199	8	~1986
8108563	194605513	9	~1988
8108731	81087311	8	~1987
8109061	48654367	8	~1986
8109131	16218263	8	~1985
8109203	16218407	8	~1985
8109421	48656527	8	~1986
8109457	48656743	8	~1986

5.710.620 digits

26-07-19