Small Mersenne Prime Factors (page 310/5610)

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
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
1393559	2787119	7	~1979
1393697	19511759	8	~1981
1393739	2787479	7	~1979
1393751	2787503	7	~1979
1393817	8362903	7	~1980
1393883	2787767	7	~1979
1393913	19514783	8	~1981
1393937	66908977	8	~1982
1393979	25091623	8	~1981
1393981	55759241	8	~1982
1394009	33456217	8	~1982
1394021	66913009	8	~1982
1394131	156142673	9	~1983
1394167	13941671	8	~1981
1394251	348562751	9	~1984
1394273	19519823	8	~1981

Exp.	Prime Factor	Digits	Year
1394293	41828791	8	~1982
1394441	8366647	7	~1980
1394599	33470377	8	~1982
1394683	33472393	8	~1982
1394699	2789399	7	~1979
1394711	11157689	8	~1980
1394737	200842129	9	~1984
1394747	33473929	8	~1982
1394831	25106959	8	~1981
1394857	8369143	7	~1980
1394891	11159129	8	~1980
1394893	8369359	7	~1980
1395181	8371087	7	~1980
1395283	13952831	8	~1981
1395323	2790647	7	~1979
1395367	22325873	8	~1981
1395413	19535783	8	~1981
1395553	100479817	9	~1983
1395743	125616871	9	~1983
1395791	2791583	7	~1979
1395791	111663281	9
1395907	22334513	8	~1981
1395983	2791967	7	~1979
1396013	8376079	7	~1980
1396069	122854073	9	~1983

Exp.	Prime Factor	Digits	Year
1396103	44675297	8	~1982
1396211	2792423	7	~1979
1396331	2792663	7	~1979
1396387	13963871	8	~1981
1396393	30720647	8	~1982
1396517	11172137	8	~1980
1396559	25138063	8	~1981
1396657	55866281	8	~1982
1396679	2793359	7	~1979
1396691	2793383	7	~1979
1396711	25140799	8	~1981
1396723	22347569	8	~1981
1396867	13968671	8	~1981
1397021	11176169	8	~1980
1397059	58676479	8	~1982
1397107	33530569	8	~1982
1397131	25148359	8	~1981
1397189	11177513	8	~1980
1397219	2794439	7	~1979
1397303	2794607	7	~1979
1397441	53102759	8	~1982
1397443	33538633	8	~1982
1397531	2795063	7	~1979
1397531	78261737	8
1397579	2795159	7	~1979

Exp.	Prime Factor	Digits	Year
1397729	33545497	8	~1982
1397761	30750743	8	~1982
1397783	2795567	7	~1979
1397939	2795879	7	~1979
1397959	25163263	8	~1981
1397999	2795999	7	~1979
1398107	11184857	8	~1980
1398113	19573583	8	~1981
1398121	22369937	8	~1981
1398247	13982471	8	~1981
1398251	2796503	7	~1979
1398251	44744033	8
1398259	58726879	8	~1982
1398263	2796527	7	~1979
1398263	44744417	8
1398269	8147...315711	420921	1996
1398349	97884431	8	~1983
1398367	33560809	8	~1982
1398413	8390479	7	~1980
1398521	8391127	7	~1980
1398623	2797247	7	~1979
1398623	103498103	9
1398701	8392207	7	~1980
1398701	11189609	8
1398707	67137937	8	~1982

5.307.017 digits

26-01-11