Small Mersenne Prime Factors (page 777/5160)

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
6196397	49571177	8	~1985
6196417	37178503	8	~1985
6196439	12392879	8	~1984
6196537	99144593	8	~1986
6196571	198290273	9	~1987
6196669	136326719	9	~1987
6196739	148721737	9	~1987
6196819	61968191	8	~1986
6197099	12394199	8	~1984
6197251	111550519	9	~1986
6197431	99158897	8	~1986
6197641	37185847	8	~1985
6197651	49581209	8	~1985
6197717	49581737	8	~1985
6197963	12395927	8	~1984
6198119	12396239	8	~1984
6198209	49585673	8	~1985
6198239	12396479	8	~1984
6198463	842990969	9	~1989
6198587	49588697	8	~1985
6198653	1425690191	10	~1989
6198677	49589417	8	~1985
6198901	37193407	8	~1985
6199031	12398063	8	~1984
6199321	37195927	8	~1985

Exp.	Prime Factor	Digits	Year
6199337	86790719	8	~1986
6199399	61993991	8	~1986
6199547	49596377	8	~1985
6199559	12399119	8	~1984
6199601	37197607	8	~1985
6199691	12399383	8	~1984
6199691	49597529	8
6199751	12399503	8	~1984
6199771	61997711	8	~1986
6199777	37198663	8	~1985
6199807	61998071	8	~1986
6199927	61999271	8	~1986
6199981	37199887	8	~1985
6200063	12400127	8	~1984
6200141	37200847	8	~1985
6200353	99205649	8	~1986
6200507	49604057	8	~1985
6200581	37203487	8	~1985
6200653	136414367	9	~1987
6200807	49606457	8	~1985
6200861	49606889	8	~1985
6200923	99214769	8	~1986
6200951	12401903	8	~1984
6200981	37205887	8	~1985
6201161	49609289	8	~1985

Exp.	Prime Factor	Digits	Year
6201323	12402647	8	~1984
6201323	1389096353	10
6201401	37208407	8	~1985
6201497	49611977	8	~1985
6201599	12403199	8	~1984
6201869	49614953	8	~1985
6202013	37212079	8	~1985
6202159	1252836119	10	~1989
6202237	148853689	9	~1987
6202237	186067111	9
6202243	3225166361	10	~1990
6202349	148856377	9	~1987
6202393	99238289	8	~1986
6202403	12404807	8	~1984
6202487	49619897	8	~1985
6202583	12405167	8	~1984
6202687	62026871	8	~1986
6202733	86838263	8	~1986
6202783	62027831	8	~1986
6202901	37217407	8	~1985
6202901	49623209	8
6203359	62033591	8	~1986
6203579	12407159	8	~1984
6203789	297781873	9	~1987
6203819	12407639	8	~1984

Exp.	Prime Factor	Digits	Year
6203849	86853887	8	~1986
6203863	62038631	8	~1986
6204059	12408119	8	~1984
6204119	12408239	8	~1984
6204179	12408359	8	~1984
6204311	310215551	9	~1987
6204563	12409127	8	~1984
6204941	49639529	8	~1985
6204973	37229839	8	~1985
6205079	12410159	8	~1984
6205291	62052911	8	~1986
6205481	49643849	8	~1985
6205583	12411167	8	~1984
6205931	12411863	8	~1984
6206111	49648889	8	~1985
6206227	62062271	8	~1986
6206413	148953913	9	~1987
6206429	86890007	8	~1986
6206437	99302993	8	~1986
6206461	37238767	8	~1985
6206507	111717127	9	~1986
6206653	37239919	8	~1985
6207143	12414287	8	~1984
6207197	49657577	8	~1985
6207259	2532561673	10	~1990

4.858.378 digits

25-06-15