Small Mersenne Prime Factors (page 759/5205)

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
5937541	95000657	8	~1986
5937731	11875463	8	~1984
5937739	106879303	9	~1986
5937857	35627143	8	~1985
5937977	47503817	8	~1985
5938001	35628007	8	~1985
5938363	249411247	9	~1987
5938643	11877287	8	~1984
5938739	11877479	8	~1984
5938741	35632447	8	~1985
5939093	35634559	8	~1985
5939099	11878199	8	~1984
5939123	11878247	8	~1984
5939179	142540297	9	~1987
5939581	95033297	8	~1986
5939651	11879303	8	~1984
5939777	47518217	8	~1985
5939831	11879663	8	~1984
5940037	35640223	8	~1985
5940323	11880647	8	~1984
5940577	35643463	8	~1985
5940617	47524937	8	~1985
5940797	35644783	8	~1985
5940899	11881799	8	~1984
5941139	11882279	8	~1984

Exp.	Prime Factor	Digits	Year
5941283	11882567	8	~1984
5941451	11882903	8	~1984
5941913	35651479	8	~1985
5942081	47536649	8	~1985
5942099	11884199	8	~1984
5942137	35652823	8	~1985
5942159	11884319	8	~1984
5942221	35653327	8	~1985
5942347	59423471	8	~1986
5942357	142616569	9	~1987
5942543	11885087	8	~1984
5942969	47543753	8	~1985
5943023	11886047	8	~1984
5943031	59430311	8	~1986
5943043	59430431	8	~1986
5943053	35658319	8	~1985
5943071	47544569	8	~1985
5943083	11886167	8	~1984
5943107	154520783	9	~1987
5943151	106976719	9	~1986
5943239	190183649	9	~1987
5943611	11887223	8	~1984
5943653	35661919	8	~1985
5943851	11887703	8	~1984
5944021	35664127	8	~1985

Exp.	Prime Factor	Digits	Year
5944079	47552633	8	~1985
5944871	11889743	8	~1984
5944907	107008327	9	~1986
5945039	11890079	8	~1984
5945279	11890559	8	~1984
5945281	35671687	8	~1985
5945311	95124977	8	~1986
5945353	95125649	8	~1986
5945497	3091658441	10	~1990
5945677	35674063	8	~1985
5945887	107025967	9	~1986
5946023	11892047	8	~1984
5946119	11892239	8	~1984
5946337	35678023	8	~1985
5946497	35678983	8	~1985
5946569	83251967	8	~1986
5946623	11893247	8	~1984
5946869	47574953	8	~1985
5947043	11894087	8	~1984
5947079	11894159	8	~1984
5947147	59471471	8	~1986
5947163	11894327	8	~1984
5947211	11894423	8	~1984
5947273	35683639	8	~1985
5947379	11894759	8	~1984

Exp.	Prime Factor	Digits	Year
5947451	11894903	8	~1984
5947499	11894999	8	~1984
5947679	47581433	8	~1985
5947979	11895959	8	~1984
5948399	11896799	8	~1984
5948483	11896967	8	~1984
5948699	47589593	8	~1985
5948711	11897423	8	~1984
5948867	47590937	8	~1985
5949143	11898287	8	~1984
5949149	47593193	8	~1985
5949239	11898479	8	~1984
5949481	35696887	8	~1985
5949539	11899079	8	~1984
5949673	130892807	9	~1986
5949751	59497511	8	~1986
5949791	11899583	8	~1984
5950027	59500271	8	~1986
5950379	47603033	8	~1985
5950379	1963625071	10
5950397	35702383	8	~1985
5950463	11900927	8	~1984
5950621	95209937	8	~1986
5950823	11901647	8	~1984
5950949	999759433	9	~1989

4.903.097 digits

25-07-08