Small Mersenne Prime Factors (page 367/5445)

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
1821037	29136593	8	~1982
1821107	174826273	9	~1984
1821181	10927087	8	~1981
1821233	43709593	8	~1983
1821257	14570057	8	~1981
1821371	76497583	8	~1983
1821377	14571017	8	~1981
1821497	43715929	8	~1983
1821731	3643463	7	~1980
1821763	18217631	8	~1982
1821791	32792239	8	~1982
1821871	20568923591	11	~1989
1821959	3643919	7	~1980
1822091	3644183	7	~1980
1822091	14576729	8
1822217	14577737	8	~1981
1822229	14577833	8	~1981
1822559	3645119	7	~1980
1822571	3645143	7	~1980
1822703	3645407	7	~1980
1822787	14582297	8	~1981
1822811	3645623	7	~1980
1822811	32810599	8
1823021	10938127	8	~1981
1823021	131257513	9

Exp.	Prime Factor	Digits	Year
1823047	160428137	9	~1984
1823051	3646103	7	~1980
1823099	145847921	9	~1984
1823231	3646463	7	~1980
1823291	3646583	7	~1980
1823443	43762633	8	~1983
1823533	10941199	8	~1981
1823543	47412119	8	~1983
1823603	3647207	7	~1980
1823663	3647327	7	~1980
1823671	76594183	8	~1983
1823737	43769689	8	~1983
1823779	32828023	8	~1982
1823797	1998881513	10	~1987
1823863	18238631	8	~1982
1823903	3647807	7	~1980
1823953	10943719	8	~1981
1823963	3647927	7	~1980
1823963	58366817	8
1824227	32836087	8	~1982
1824239	3648479	7	~1980
1824367	18243671	8	~1982
1824421	40137263	8	~1982
1824577	10947463	8	~1981
1824649	72985961	8	~1983

Exp.	Prime Factor	Digits	Year
1824677	43792249	8	~1983
1824743	3649487	7	~1980
1824859	43796617	8	~1983
1824917	14599337	8	~1981
1824917	25548839	8
1825079	3650159	7	~1980
1825141	10950847	8	~1981
1825163	3650327	7	~1980
1825309	1003919951	10	~1986
1825331	3650663	7	~1980
1825391	3650783	7	~1980
1825597	87628657	8	~1983
1825757	10954543	8	~1981
1825963	29215409	8	~1982
1825969	317718607	9	~1985
1826003	3652007	7	~1980
1826023	164342071	9	~1984
1826047	18260471	8	~1982
1826063	43825513	8	~1983
1826141	58436513	8	~1983
1826183	3652367	7	~1980
1826399	14611193	8	~1981
1826611	32878999	8	~1982
1826651	3653303	7	~1980
1826689	40187159	8	~1982

Exp.	Prime Factor	Digits	Year
1826711	3653423	7	~1980
1826743	29227889	8	~1982
1826819	131530969	9	~1984
1826893	10961359	8	~1981
1826999	3653999	7	~1980
1827071	3654143	7	~1980
1827071	58466273	8
1827107	263103409	9	~1984
1827151	18271511	8	~1982
1827151	643157153	9
1827181	10963087	8	~1981
1827193	10963159	8	~1981
1827193	274078951	9
1827227	14617817	8	~1981
1827341	10964047	8	~1981
1827421	54822631	8	~1983
1827421	73096841	8
1827737	14621897	8	~1981
1827863	3655727	7	~1980
1827869	14622953	8	~1981
1827869	58491809	8
1828019	3656039	7	~1980
1828223	3656447	7	~1980
1828223	47533799	8
1828291	18282911	8	~1982

5.142.307 digits

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