Small Mersenne Prime Factors (page 306/5340)

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
1386263	69313151	8	~1982
1386383	2772767	7	~1979
1386419	2772839	7	~1979
1386557	8319343	7	~1980
1386587	91514743	8	~1983
1386611	2773223	7	~1979
1386611	11092889	8
1386617	11092937	8	~1980
1386617	185806679	9
1386643	13866431	8	~1981
1386659	2773319	7	~1979
1386691	13866911	8	~1981
1386731	24961159	8	~1981
1386731	66563089	8
1386787	13867871	8	~1981
1386839	2773679	7	~1979
1386977	66574897	8	~1982
1387123	58259167	8	~1982
1387163	2774327	7	~1979
1387207	88781249	8	~1983
1387271	2774543	7	~1979
1387327	22197233	8	~1981
1387357	55494281	8	~1982
1387367	11098937	8	~1980
1387499	11099993	8	~1980

Exp.	Prime Factor	Digits	Year
1387517	66600817	8	~1982
1387847	158214559	9	~1983
1388171	2776343	7	~1979
1388183	36092759	8	~1982
1388297	11106377	8	~1980
1388363	2776727	7	~1979
1388479	13884791	8	~1981
1388789	11110313	8	~1980
1388873	8333239	7	~1980
1388887	24999967	8	~1981
1388927	11111417	8	~1980
1388969	11111753	8	~1980
1389001	66672049	8	~1982
1389173	19448423	8	~1981
1389191	2778383	7	~1979
1389329	11114633	8	~1980
1389371	11114969	8	~1980
1389431	2778863	7	~1979
1389473	19452623	8	~1981
1389491	66695569	8	~1982
1389623	2779247	7	~1979
1389673	264037871	9	~1984
1389677	11117417	8	~1980
1389797	11118377	8	~1980
1389833	8338999	7	~1980

Exp.	Prime Factor	Digits	Year
1389851	2779703	7	~1979
1390019	2780039	7	~1979
1390019	158462167	9
1390027	25020487	8	~1981
1390159	191841943	9	~1983
1390177	333642481	9	~1984
1390199	2780399	7	~1979
1390219	47267447	8	~1982
1390471	66742609	8	~1982
1390483	13904831	8	~1981
1390693	8344159	7	~1980
1390729	33377497	8	~1982
1390813	130736423	9	~1983
1390891	66762769	8	~1982
1390913	75109303	8	~1982
1390967	11127737	8	~1980
1390969	41729071	8	~1982
1390979	2781959	7	~1979
1391023	158576623	9	~1983
1391239	33389737	8	~1982
1391363	2782727	7	~1979
1391393	8348359	7	~1980
1391549	11132393	8	~1980
1391561	11132489	8	~1980
1391567	233783257	9	~1984

Exp.	Prime Factor	Digits	Year
1391587	25048567	8	~1981
1392007	860260327	9	~1985
1392233	33413593	8	~1982
1392269	52906223	8	~1982
1392323	2784647	7	~1979
1392323	44554337	8
1392353	41770591	8	~1982
1392497	41774911	8	~1982
1392557	8355343	7	~1980
1392619	25067143	8	~1981
1392701	11141609	8	~1980
1392731	2785463	7	~1979
1392851	2785703	7	~1979
1392983	44575457	8	~1982
1392983	58505287	8
1393079	11144633	8	~1980
1393079	25075423	8
1393079	44578529	8
1393123	33434953	8	~1982
1393159	66871633	8	~1982
1393219	66874513	8	~1982
1393283	69664151	8	~1982
1393333	33439993	8	~1982
1393367	11146937	8	~1980
1393523	111481841	9	~1983

5.037.460 digits

25-09-07