Small Mersenne Prime Factors (page 365/5850)

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
1763677	28218833	8	~1982
1763717	14109737	8	~1981
1763719	70548761	8	~1983
1763759	3527519	7	~1980
1763963	88198151	8	~1983
1764047	45865223	8	~1983
1764071	3528143	7	~1980
1764097	10584583	8	~1981
1764199	42340777	8	~1982
1764221	14113769	8	~1981
1764293	10585759	8	~1981
1764293	98800409	8
1764313	28229009	8	~1982
1764319	31757743	8	~1982
1764463	144685967	9	~1984
1764479	31760623	8	~1982
1764611	31762999	8	~1982
1764671	56469473	8	~1983
1764683	3529367	7	~1980
1764731	14117849	8	~1981
1764757	28236113	8	~1982
1764871	17648711	8	~1982
1765013	24710183	8	~1982
1765079	3530159	7	~1980
1765123	60014183	8	~1983

Exp.	Prime Factor	Digits	Year
1765129	38832839	8	~1982
1765147	28242353	8	~1982
1765289	14122313	8	~1981
1765349	14122793	8	~1981
1765559	3531119	7	~1980
1765559	74153479	8
1765741	10594447	8	~1981
1765741	28251857	8
1765873	10595239	8	~1981
1765891	70635641	8	~1983
1765997	14127977	8	~1981
1766003	3532007	7	~1980
1766123	3532247	7	~1980
1766251	28260017	8	~1982
1766279	3532559	7	~1980
1766309	84782833	8	~1983
1766459	14131673	8	~1981
1766537	10599223	8	~1981
1766581	250854503	9	~1984
1766603	3533207	7	~1980
1766717	42401209	8	~1982
1766761	10600567	8	~1981
1766939	3533879	7	~1980
1767071	14136569	8	~1981
1767091	31807639	8	~1982

Exp.	Prime Factor	Digits	Year
1767121	28273937	8	~1982
1767131	3534263	7	~1980
1767203	3534407	7	~1980
1767239	385258103	9	~1985
1767329	14138633	8	~1981
1767449	24744287	8	~1982
1767691	31818439	8	~1982
1767707	84849937	8	~1983
1767917	10607503	8	~1981
1767979	17679791	8	~1982
1768057	10608343	8	~1981
1768069	38897519	8	~1982
1768499	3536999	7	~1980
1768517	10611103	8	~1981
1768523	3537047	7	~1980
1768537	42444889	8	~1982
1768873	42452953	8	~1982
1769069	14152553	8	~1981
1769093	56610977	8	~1983
1769297	24770159	8	~1982
1769297	265394551	9
1769323	17693231	8	~1982
1769333	53079991	8	~1983
1769543	42469033	8	~1982
1769623	60167183	8	~1983

Exp.	Prime Factor	Digits	Year
1769633	42471193	8	~1982
1769791	569872703	9	~1985
1769917	10619503	8	~1981
1769987	84959377	8	~1983
1770001	84960049	8	~1983
1770061	10620367	8	~1981
1770089	24781247	8	~1982
1770199	31863583	8	~1982
1770259	17702591	8	~1982
1770313	10621879	8	~1981
1770331	329281567	9	~1985
1770449	14163593	8	~1981
1770449	194749391	9
1770521	53115631	8	~1983
1770539	3541079	7	~1980
1770683	74368687	8	~1983
1770893	223132519	9	~1984
1770911	3541823	7	~1980
1770919	17709191	8	~1982
1771157	67303967	8	~1983
1771223	3542447	7	~1980
1771271	3542543	7	~1980
1771397	53141911	8	~1983
1771421	14171369	8	~1981
1771421	53142631	8

5.546.121 digits

26-05-03