Small Mersenne Prime Factors (page 717/5205)

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
5395199	10790399	8	~1984
5395279	53952791	8	~1985
5395331	43162649	8	~1985
5395517	43164137	8	~1985
5395679	10791359	8	~1984
5395763	10791527	8	~1984
5395991	10791983	8	~1984
5396173	32377039	8	~1985
5396189	43169513	8	~1985
5396431	53964311	8	~1985
5396549	129517177	9	~1986
5396591	10793183	8	~1984
5396663	10793327	8	~1984
5396819	10793639	8	~1984
5396861	43174889	8	~1985
5396903	10793807	8	~1984
5396903	302226569	9
5397071	10794143	8	~1984
5397179	10794359	8	~1984
5397323	10794647	8	~1984
5397443	10794887	8	~1984
5397493	32384959	8	~1985
5397793	161933791	9	~1986
5397803	10795607	8	~1984
5397853	32387119	8	~1985

Exp.	Prime Factor	Digits	Year
5397923	10795847	8	~1984
5398039	53980391	8	~1985
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

Exp.	Prime Factor	Digits	Year
5402129	43217033	8	~1985
5402543	10805087	8	~1984
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

Exp.	Prime Factor	Digits	Year
5406083	10812167	8	~1984
5406131	43249049	8	~1985
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

4.903.097 digits

25-07-08