Small Mersenne Prime Factors (page 412/5850)

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
2120093	763233481	9	~1986
2120147	16961177	8	~1982
2120387	16963097	8	~1982
2120411	4240823	7	~1980
2120549	16964393	8	~1982
2120771	38173879	8	~1983
2120819	4241639	7	~1980
2120879	4241759	7	~1980
2120957	118773593	9	~1984
2121011	4242023	7	~1980
2121029	16968233	8	~1982
2121181	84847241	8	~1984
2121239	38182303	8	~1983
2121241	12727447	8	~1982
2121337	674585167	9	~1986
2121377	12728263	8	~1982
2121619	21216191	8	~1982
2121737	12730423	8	~1982
2121761	12730567	8	~1982
2121781	12730687	8	~1982
2121803	4243607	7	~1980
2121841	33949457	8	~1983
2121941	12731647	8	~1982
2121989	16975913	8	~1982
2122031	16976249	8	~1982

Exp.	Prime Factor	Digits	Year
2122039	21220391	8	~1982
2122139	16977113	8	~1982
2122231	33955697	8	~1983
2122333	12733999	8	~1982
2122459	21224591	8	~1982
2122459	38204263	8
2122469	50939257	8	~1983
2122531	21225311	8	~1982
2122619	4245239	7	~1980
2122697	16981577	8	~1982
2122741	12736447	8	~1982
2122817	80667047	8	~1984
2122859	16982873	8	~1982
2122937	12737623	8	~1982
2123063	4246127	7	~1980
2123083	33969329	8	~1983
2123617	33977873	8	~1983
2123741	12742447	8	~1982
2123761	46722743	8	~1983
2123783	4247567	7	~1980
2123791	33980657	8	~1983
2123879	4247759	7	~1980
2123879	16991033	8
2123983	21239831	8	~1982
2124007	33984113	8	~1983

Exp.	Prime Factor	Digits	Year
2124013	46728287	8	~1983
2124049	46729079	8	~1983
2124299	38237383	8	~1983
2124359	4248719	7	~1980
2124377	12746263	8	~1982
2124491	4248983	7	~1980
2124491	16995929	8
2124509	29743127	8	~1982
2124553	46740167	8	~1983
2124571	38242279	8	~1983
2124659	16997273	8	~1982
2124797	573695191	9	~1986
2124839	16998713	8	~1982
2124961	12749767	8	~1982
2124973	50999353	8	~1983
2125037	29750519	8	~1982
2125069	165755383	9	~1984
2125181	17001449	8	~1982
2125219	72257447	8	~1983
2125451	4250903	7	~1980
2125601	12753607	8	~1982
2125603	34009649	8	~1983
2125679	425135801	9	~1985
2125681	12754087	8	~1982
2125693	46765247	8	~1983

Exp.	Prime Factor	Digits	Year
2125703	4251407	7	~1980
2125933	12755599	8	~1982
2125939	72281927	8	~1983
2126167	21261671	8	~1982
2126227	701654911	9	~1986
2126317	12757903	8	~1982
2126339	4252679	7	~1980
2126363	4252727	7	~1980
2126387	106319351	9	~1984
2126659	72306407	8	~1983
2126783	4253567	7	~1980
2126851	34029617	8	~1983
2126899	21268991	8	~1982
2127299	4254599	7	~1980
2127383	55311959	8	~1983
2127401	17019209	8	~1982
2127757	12766543	8	~1982
2127757	102132337	9
2127857	29789999	8	~1982
2127857	63835711	8
2127947	17023577	8	~1982
2127947	157468079	9
2127949	51070777	8	~1983
2128031	55328807	8	~1983
2128283	106414151	9	~1984

5.546.121 digits

26-05-03