Small Mersenne Prime Factors (page 750/5025)

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
5930657	35583943	8	~1985
5930663	11861327	8	~1984
5930791	106754239	9	~1986
5931311	11862623	8	~1984
5931899	11863799	8	~1984
5932111	59321111	8	~1986
5932271	11864543	8	~1984
5932319	11864639	8	~1984
5932403	11864807	8	~1984
5932523	11865047	8	~1984
5932571	11865143	8	~1984
5933093	35598559	8	~1985
5933177	35599063	8	~1985
5933351	11866703	8	~1984
5933549	225474863	9	~1987
5933713	35602279	8	~1985
5933783	11867567	8	~1984
5933849	47470793	8	~1985
5934197	47473577	8	~1985
5934359	11868719	8	~1984
5934413	35606479	8	~1985
5934503	11869007	8	~1984
5934611	11869223	8	~1984
5934697	94955153	8	~1986
5934701	35608207	8	~1985

Exp.	Prime Factor	Digits	Year
5934959	11869919	8	~1984
5934967	59349671	8	~1986
5934983	11869967	8	~1984
5935093	35610559	8	~1985
5935399	59353991	8	~1986
5935421	35612527	8	~1985
5935511	47484089	8	~1985
5935621	35613727	8	~1985
5935859	11871719	8	~1984
5935883	11871767	8	~1984
5935991	11871983	8	~1984
5936081	35616487	8	~1985
5936311	59363111	8	~1986
5936831	11873663	8	~1984
5936837	35621023	8	~1985
5936891	11873783	8	~1984
5937167	676837039	9	~1988
5937241	35623447	8	~1985
5937287	581854127	9	~1988
5937341	35624047	8	~1985
5937341	47498729	8
5937521	47500169	8	~1985
5937527	47500217	8	~1985
5937541	95000657	8	~1986
5937731	11875463	8	~1984

Exp.	Prime Factor	Digits	Year
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
5941283	11882567	8	~1984
5941451	11882903	8	~1984

Exp.	Prime Factor	Digits	Year
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
5944079	47552633	8	~1985
5944871	11889743	8	~1984

4.724.182 digits

25-04-13