Small Mersenne Prime Factors (page 709/5025)

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
5398171	86370737	8	~1986
5398259	10796519	8	~1984
5398513	86376209	8	~1986
5398697	32392183	8	~1985
5398961	43191689	8	~1985
5399039	43192313	8	~1985
5399231	43193849	8	~1985
5399831	97196959	8	~1986
5400071	10800143	8	~1984
5400137	205205207	9	~1987
5400257	32401543	8	~1985
5400419	43203353	8	~1985
5400701	43205609	8	~1985
5400743	140419319	9	~1986
5400793	32404759	8	~1985
5401147	475300937	9	~1988
5401157	32406943	8	~1985
5401211	10802423	8	~1984
5401553	75621743	8	~1986
5401559	10803119	8	~1984
5401973	32411839	8	~1985
5402003	10804007	8	~1984
5402123	10804247	8	~1984
5402129	43217033	8	~1985
5402543	10805087	8	~1984

Exp.	Prime Factor	Digits	Year
5402909	43223273	8	~1985
5402933	75641063	8	~1986
5402977	32417863	8	~1985
5403329	43226633	8	~1985
5403479	10806959	8	~1984
5403523	702457991	9	~1988
5403719	10807439	8	~1984
5403851	43230809	8	~1985
5404603	86473649	8	~1986
5404771	54047711	8	~1985
5404897	248625263	9	~1987
5404979	10809959	8	~1984
5405111	10810223	8	~1984
5405173	32431039	8	~1985
5405249	172967969	9	~1987
5405357	32432143	8	~1985
5405503	54055031	8	~1985
5405579	10811159	8	~1984
5405591	10811183	8	~1984
5405819	10811639	8	~1984
5405843	10811687	8	~1984
5406041	162181231	9	~1986
5406043	54060431	8	~1985
5406083	10812167	8	~1984
5406131	43249049	8	~1985

Exp.	Prime Factor	Digits	Year
5406197	32437183	8	~1985
5406293	32437759	8	~1985
5406529	118943639	9	~1986
5406623	10813247	8	~1984
5406623	140572199	9
5406719	43253753	8	~1985
5406761	32440567	8	~1985
5407043	10814087	8	~1984
5407151	43257209	8	~1985
5407211	10814423	8	~1984
5407211	43257689	8
5407463	10814927	8	~1984
5407631	10815263	8	~1984
5407693	32446159	8	~1985
5407931	10815863	8	~1984
5408083	86529329	8	~1986
5408131	54081311	8	~1985
5408201	43265609	8	~1985
5408423	10816847	8	~1984
5408531	43268249	8	~1985
5408701	86539217	8	~1986
5408773	162263191	9	~1986
5408779	129810697	9	~1986
5408831	10817663	8	~1984
5408831	140629607	9

Exp.	Prime Factor	Digits	Year
5408951	10817903	8	~1984
5408981	43271849	8	~1985
5408999	10817999	8	~1984
5409101	32454607	8	~1985
5409137	205547207	9	~1987
5409149	43273193	8	~1985
5409161	551734423	9	~1988
5409203	10818407	8	~1984
5409427	97369687	8	~1986
5409517	86552273	8	~1986
5409539	10819079	8	~1984
5409539	43276313	8
5410057	32460343	8	~1985
5410571	10821143	8	~1984
5410619	97391143	8	~1986
5410739	10821479	8	~1984
5410897	292188439	9	~1987
5411051	10822103	8	~1984
5411099	10822199	8	~1984
5411177	32467063	8	~1985
5411281	119048183	9	~1986
5411537	75761519	8	~1986
5411543	173169377	9	~1987
5411867	129884809	9	~1986
5411971	54119711	8	~1985

4.724.182 digits

25-04-13