Small Mersenne Prime Factors (page 253/6015)

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
1003397	134455199	9	~1982
1003411	40136441	8	~1981
1003517	14049239	8	~1980
1003631	2007263	7	~1978
1003679	2007359	7	~1978
1003711	82304303	8	~1982
1003763	2007527	7	~1978
1003771	16060337	8	~1980
1003841	6023047	7	~1979
1003943	74291783	8	~1982
1004063	56227529	8	~1981
1004117	86354063	8	~1982
1004137	96397153	8	~1982
1004137	168695017	9
1004161	16066577	8	~1980
1004209	78328303	8	~1982
1004287	66282943	8	~1982
1004659	10046591	8	~1980
1004669	24112057	8	~1981
1004677	6028063	7	~1979
1004723	186878479	9	~1983
1004743	10047431	8	~1980
1004749	24113977	8	~1981
1004903	2009807	7	~1978
1004987	8039897	7	~1979

Exp.	Prime Factor	Digits	Year
1005101	38193839	8	~1981
1005131	1248372703	10	~1985
1005133	6030799	7	~1979
1005133	24123193	8
1005203	24124873	8	~1981
1005203	80416241	8
1005239	2010479	7	~1978
1005317	6031903	7	~1979
1005317	54287119	8
1005553	217199449	9	~1983
1005679	42238519	8	~1981
1005833	56326649	8	~1981
1005883	10058831	8	~1980
1005883	16094129	8
1005931	10059311	8	~1980
1005959	32190689	8	~1981
1006007	50300351	8	~1981
1006021	6036127	7	~1979
1006037	8048297	7	~1979
1006123	16097969	8	~1980
1006301	8050409	7	~1979
1006331	2012663	7	~1978
1006339	34215527	8	~1981
1006367	8050937	7	~1979
1006391	66421807	8	~1982

Exp.	Prime Factor	Digits	Year
1006463	32206817	8	~1981
1006559	2013119	7	~1978
1006711	18120799	8	~1980
1006781	6040687	7	~1979
1006853	24164473	8	~1981
1006991	2013983	7	~1978
1007081	30212431	8	~1981
1007137	6042823	7	~1979
1007203	10072031	8	~1980
1007243	2014487	7	~1978
1007243	145042993	9
1007249	14101487	8	~1980
1007297	8058377	7	~1979
1007339	120880681	9	~1982
1007459	2014919	7	~1978
1007483	2014967	7	~1978
1007597	6045583	7	~1979
1007651	2015303	7	~1978
1007711	2015423	7	~1978
1007731	18139159	8	~1980
1007771	2015543	7	~1978
1007813	14109383	8	~1980
1007827	16125233	8	~1980
1007933	6047599	7	~1979
1007939	2015879	7	~1978

Exp.	Prime Factor	Digits	Year
1007959	18143263	8	~1980
1008041	6048247	7	~1979
1008101	8064809	7	~1979
1008193	64524353	8	~1982
1008353	56467769	8	~1981
1008373	22184207	8	~1980
1008379	10083791	8	~1980
1008613	6051679	7	~1979
1008659	2017319	7	~1978
1008659	123056399	9
1008773	6052639	7	~1979
1008817	6052903	7	~1979
1008817	70617191	8
1008857	6053143	7	~1979
1008857	8070857	7
1008859	10088591	8	~1980
1008859	34301207	8
1008859	40354361	8
1008863	2017727	7	~1978
1008901	6053407	7	~1979
1008911	2017823	7	~1978
1008947	50447351	8	~1981
1008979	42377119	8	~1981
1009037	24216889	8	~1981
1009061	8072489	7	~1979

5.710.620 digits

26-07-19