Small Mersenne Prime Factors (page 861/5070)

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
7464059	14928119	8	~1985
7464137	44784823	8	~1986
7464253	44785519	8	~1986
7464313	44785879	8	~1986
7464461	283649519	9	~1988
7464839	14929679	8	~1985
7464851	14929703	8	~1985
7464923	14929847	8	~1985
7464959	14929919	8	~1985
7465511	14931023	8	~1985
7465583	14931167	8	~1985
7465697	104519759	9	~1987
7465763	179178313	9	~1987
7465979	179183497	9	~1987
7466423	14932847	8	~1985
7466699	59733593	8	~1986
7466759	179202217	9	~1987
7466819	59734553	8	~1986
7466831	14933663	8	~1985
7466861	44801167	8	~1986
7467059	14934119	8	~1985
7467671	14935343	8	~1985
7467773	44806639	8	~1986
7468067	59744537	8	~1986
7468129	582514063	9	~1989

Exp.	Prime Factor	Digits	Year
7468211	59745689	8	~1986
7468403	14936807	8	~1985
7468451	14936903	8	~1985
7468619	14937239	8	~1985
7468781	44812687	8	~1986
7468943	14937887	8	~1985
7469039	59752313	8	~1986
7469081	44814487	8	~1986
7469177	59753417	8	~1986
7469699	14939399	8	~1985
7469939	14939879	8	~1985
7470143	14940287	8	~1985
7470761	44824567	8	~1986
7470763	119532209	9	~1987
7470839	14941679	8	~1985
7471081	44826487	8	~1986
7471601	59772809	8	~1986
7471679	59773433	8	~1986
7471811	14943623	8	~1985
7471811	59774489	8
7471931	59775449	8	~1986
7471991	14943983	8	~1985
7472051	14944103	8	~1985
7472123	14944247	8	~1985
7472293	44833759	8	~1986

Exp.	Prime Factor	Digits	Year
7472321	597785681	9	~1989
7472513	179340313	9	~1987
7472603	14945207	8	~1985
7472903	14945807	8	~1985
7472951	313863943	9	~1988
7473017	44838103	8	~1986
7473233	104625263	9	~1987
7473259	74732591	8	~1986
7473299	14946599	8	~1985
7473359	14946719	8	~1985
7473491	14946983	8	~1985
7473839	14947679	8	~1985
7474301	44845807	8	~1986
7474367	59794937	8	~1986
7474673	44848039	8	~1986
7474799	59798393	8	~1986
7474801	44848807	8	~1986
7474979	14949959	8	~1985
7475129	897015481	9	~1989
7475317	44851903	8	~1986
7475543	14951087	8	~1985
7476017	59808137	8	~1986
7476043	74760431	8	~1986
7476071	14952143	8	~1985
7476263	14952527	8	~1985

Exp.	Prime Factor	Digits	Year
7476383	14952767	8	~1985
7476433	44858599	8	~1986
7476641	44859847	8	~1986
7476743	14953487	8	~1985
7476773	44860639	8	~1986
7476779	14953559	8	~1985
7476803	14953607	8	~1985
7476851	314027743	9	~1988
7476877	44861263	8	~1986
7476961	44861767	8	~1986
7477031	14954063	8	~1985
7477031	59816249	8
7477181	59817449	8	~1986
7477361	44864167	8	~1986
7477643	14955287	8	~1985
7477919	14955839	8	~1985
7478257	44869543	8	~1986
7478363	14956727	8	~1985
7478423	14956847	8	~1985
7478573	224357191	9	~1988
7478621	44871727	8	~1986
7478831	59830649	8	~1986
7479259	74792591	8	~1986
7479431	14958863	8	~1985
7479539	14959079	8	~1985

4.768.925 digits

25-05-04