Small Mersenne Prime Factors (page 298/5070)

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
1355741	10845929	8	~1980
1355749	32537977	8	~1981
1355891	2711783	7	~1979
1355917	32542009	8	~1981
1355933	8135599	7	~1980
1355941	21695057	8	~1981
1355983	46103423	8	~1982
1356059	2712119	7	~1979
1356143	2712287	7	~1979
1356269	10850153	8	~1980
1356319	13563191	8	~1981
1356331	13563311	8	~1981
1356497	8138983	7	~1980
1356539	2713079	7	~1979
1356611	2713223	7	~1979
1356659	56979679	8	~1982
1356709	29847599	8	~1981
1356713	18993983	8	~1981
1356713	43414817	8
1356737	10853897	8	~1980
1356857	8141143	7	~1980
1356899	67844951	8	~1982
1357001	40710031	8	~1982
1357043	2714087	7	~1979
1357193	8143159	7	~1980

Exp.	Prime Factor	Digits	Year
1357351	21717617	8	~1981
1357351	24432319	8
1357537	8145223	7	~1980
1357547	24435847	8	~1981
1357619	10860953	8	~1980
1357673	40730191	8	~1982
1357673	141197993	9
1357781	171080407	9	~1983
1357823	35303399	8	~1982
1357919	165666119	9	~1983
1358039	2716079	7	~1979
1358039	10864313	8
1358047	130372513	9	~1983
1358111	2716223	7	~1979
1358153	40744591	8	~1982
1358213	8149279	7	~1980
1358281	21732497	8	~1981
1358297	29868951031	11	~1989
1358333	76066649	8	~1982
1358369	10866953	8	~1980
1358411	2716823	7	~1979
1358417	8150503	7	~1980
1358477	10867817	8	~1980
1358477	73357759	8
1358729	19022207	8	~1981

Exp.	Prime Factor	Digits	Year
1358783	2717567	7	~1979
1358881	8153287	7	~1980
1358891	2717783	7	~1979
1359077	19027079	8	~1981
1359161	8154967	7	~1980
1359209	10873673	8	~1980
1359209	19028927	8
1359307	13593071	8	~1981
1359361	8156167	7	~1980
1359521	84290303	8	~1983
1359647	35350823	8	~1982
1359857	8159143	7	~1980
1359971	2719943	7	~1979
1360069	40802071	8	~1982
1360223	2720447	7	~1979
1360279	32646697	8	~1982
1360367	195892849	9	~1983
1360409	40812271	8	~1982
1360511	2721023	7	~1979
1360591	54423641	8	~1982
1360687	46263359	8	~1982
1360699	13606991	8	~1981
1360861	21773777	8	~1981
1361051	65330449	8	~1982
1361183	2722367	7	~1979

Exp.	Prime Factor	Digits	Year
1361383	54455321	8	~1982
1361431	228720409	9	~1984
1361471	2722943	7	~1979
1361497	8168983	7	~1980
1361497	65351857	8
1361603	2723207	7	~1979
1361707	24510727	8	~1981
1361827	13618271	8	~1981
1361879	2723759	7	~1979
1362059	2724119	7	~1979
1362071	24517279	8	~1981
1362131	2724263	7	~1979
1362131	10897049	8
1362209	10897673	8	~1980
1362299	2724599	7	~1979
1362343	57218407	8	~1982
1362407	10899257	8	~1980
1362437	8174623	7	~1980
1362479	2724959	7	~1979
1362521	51775799	8	~1982
1362523	98101657	8	~1983
1362523	163502761	9
1362551	35426327	8	~1982
1362631	21802097	8	~1981
1362719	2725439	7	~1979

4.768.925 digits

25-05-04