Small Mersenne Prime Factors (page 1072/6015)

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
9843677	78749417	8	~1987
9843863	19687727	8	~1986
9843923	19687847	8	~1986
9844031	19688063	8	~1986
9844259	19688519	8	~1986
9844537	59067223	8	~1987
9844739	19689479	8	~1986
9844811	19689623	8	~1986
9844811	78758489	8
9845051	19690103	8	~1986
9845089	689156231	9	~1989
9845117	59070703	8	~1987
9845483	236291593	9	~1988
9845531	78764249	8	~1987
9845677	59074063	8	~1987
9845723	19691447	8	~1986
9845939	19691879	8	~1986
9845951	78767609	8	~1987
9845963	315070817	9	~1989
9846037	59076223	8	~1987
9846113	236306713	9	~1988
9846131	78769049	8	~1987
9846301	59077807	8	~1987
9846377	59078263	8	~1987
9846443	19692887	8	~1986

Exp.	Prime Factor	Digits	Year
9846497	78771977	8	~1987
9846517	59079103	8	~1987
9846659	19693319	8	~1986
9846701	59080207	8	~1987
9846779	19693559	8	~1986
9846833	59080999	8	~1987
9846839	19693679	8	~1986
9846841	59081047	8	~1987
9846989	78775913	8	~1987
9847091	19694183	8	~1986
9847157	59082943	8	~1987
9847499	19694999	8	~1986
9847637	59085823	8	~1987
9847637	78781097	8
9847891	98478911	8	~1987
9847897	59087383	8	~1987
9848057	59088343	8	~1987
9848183	19696367	8	~1986
9848291	19696583	8	~1986
9848299	98482991	8	~1987
9848351	78786809	8	~1987
9848537	59091223	8	~1987
9848543	19697087	8	~1986
9848801	78790409	8	~1987
9848857	59093143	8	~1987

Exp.	Prime Factor	Digits	Year
9848879	19697759	8	~1986
9848887	177279967	9	~1988
9849509	78796073	8	~1987
9849551	19699103	8	~1986
9849577	59097463	8	~1987
9849863	19699727	8	~1986
9849941	59099647	8	~1987
9850331	78802649	8	~1987
9850499	19700999	8	~1986
9850727	78805817	8	~1987
9850733	59104399	8	~1987
9850751	19701503	8	~1986
9851411	78811289	8	~1987
9852067	394082681	9	~1989
9852077	59112463	8	~1987
9852179	19704359	8	~1986
9852413	59114479	8	~1987
9852617	59115703	8	~1987
9852701	59116207	8	~1987
9852743	19705487	8	~1986
9852907	157646513	9	~1988
9853043	19706087	8	~1986
9853061	78824489	8	~1987
9853139	19706279	8	~1986
9853439	19706879	8	~1986

Exp.	Prime Factor	Digits	Year
9853559	19707119	8	~1986
9853703	19707407	8	~1986
9853763	236490313	9	~1988
9854083	98540831	8	~1987
9854459	19708919	8	~1986
9854569	45468981367	11	~1994
9854639	19709279	8	~1986
9854651	19709303	8	~1986
9854699	19709399	8	~1986
9854699	315350369	9
9854759	19709519	8	~1986
9854777	137966879	9	~1988
9855011	19710023	8	~1986
9855311	19710623	8	~1986
9855541	59133247	8	~1987
9855647	78845177	8	~1987
9855689	78845513	8	~1987
9855821	78846569	8	~1987
9855997	59135983	8	~1987
9856019	19712039	8	~1986
9856061	59136367	8	~1987
9856061	78848489	8
9856103	19712207	8	~1986
9856151	78849209	8	~1987
9856211	19712423	8	~1986

5.710.620 digits

26-07-19