Small Mersenne Prime Factors (page 881/5460)

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
7436323	74363231	8	~1986
7436453	44618719	8	~1986
7436459	14872919	8	~1985
7436719	74367191	8	~1986
7436921	59495369	8	~1986
7437191	14874383	8	~1985
7437431	14874863	8	~1985
7437779	14875559	8	~1985
7438001	59504009	8	~1986
7438439	14876879	8	~1985
7438477	44630863	8	~1986
7438841	44633047	8	~1986
7438927	1681197503	10	~1990
7438967	59511737	8	~1986
7439219	14878439	8	~1985
7439417	178546009	9	~1987
7439639	14879279	8	~1985
7439717	44638303	8	~1986
7439843	14879687	8	~1985
7440011	14880023	8	~1985
7440437	104166119	9	~1987
7441061	44646367	8	~1986
7441099	74410991	8	~1986
7441289	104178047	9	~1987
7441409	59531273	8	~1986

Exp.	Prime Factor	Digits	Year
7441633	44649799	8	~1986
7441823	14883647	8	~1985
7441883	14883767	8	~1985
7441961	59535689	8	~1986
7442657	44655943	8	~1986
7442881	44657287	8	~1986
7443157	119090513	9	~1987
7443173	44659039	8	~1986
7443223	74432231	8	~1986
7443287	59546297	8	~1986
7443377	59547017	8	~1986
7443539	14887079	8	~1985
7443607	74436071	8	~1986
7444201	119107217	9	~1987
7444357	44666143	8	~1986
7444439	59555513	8	~1986
7444499	14888999	8	~1985
7444673	223340191	9	~1988
7444799	14889599	8	~1985
7444993	44669959	8	~1986
7445161	759406423	9	~1989
7445219	14890439	8	~1985
7445759	14891519	8	~1985
7445831	14891663	8	~1985
7445959	74459591	8	~1986

Exp.	Prime Factor	Digits	Year
7446097	119137553	9	~1987
7446121	44676727	8	~1986
7446223	74462231	8	~1986
7446277	119140433	9	~1987
7446419	59571353	8	~1986
7446421	44678527	8	~1986
7446443	14892887	8	~1985
7446773	44680639	8	~1986
7446863	14893727	8	~1985
7446947	1668116129	10	~1990
7447081	44682487	8	~1986
7447123	74471231	8	~1986
7447151	14894303	8	~1985
7447523	14895047	8	~1985
7447681	44686087	8	~1986
7447879	74478791	8	~1986
7448473	44690839	8	~1986
7448603	238355297	9	~1988
7448657	44691943	8	~1986
7448723	14897447	8	~1985
7449017	44694103	8	~1986
7449059	14898119	8	~1985
7449133	44694799	8	~1986
7449151	74491511	8	~1986
7449301	357566449	9	~1988

Exp.	Prime Factor	Digits	Year
7449461	44696767	8	~1986
7449821	59598569	8	~1986
7450043	14900087	8	~1985
7450117	44700703	8	~1986
7450409	596032721	9	~1989
7450427	59603417	8	~1986
7450637	44703823	8	~1986
7450637	283124207	9
7450823	14901647	8	~1985
7450921	44705527	8	~1986
7450931	14901863	8	~1985
7451351	14902703	8	~1985
7451399	14902799	8	~1985
7451597	44709583	8	~1986
7451713	44710279	8	~1986
7451879	536535289	9	~1988
7451891	14903783	8	~1985
7451957	59615657	8	~1986
7452143	14904287	8	~1985
7452311	14904623	8	~1985
7452323	536567257	9	~1988
7452491	14904983	8	~1985
7452659	59621273	8	~1986
7452787	134150167	9	~1987
7452827	59622617	8	~1986

5.157.210 digits

25-11-02