Small Mersenne Prime Factors (page 874/5340)

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
7430051	14860103	8	~1985
7430117	44580703	8	~1986
7430459	14860919	8	~1985
7430651	14861303	8	~1985
7430711	14861423	8	~1985
7430711	59445689	8
7430777	104030879	9	~1987
7430939	14861879	8	~1985
7430987	59447897	8	~1986
7431097	118897553	9	~1987
7431419	14862839	8	~1985
7431491	14862983	8	~1985
7431503	14863007	8	~1985
7431719	14863439	8	~1985
7431959	59455673	8	~1986
7432037	59456297	8	~1986
7432331	59458649	8	~1986
7432457	44594743	8	~1986
7432499	14864999	8	~1985
7432751	14865503	8	~1985
7433039	14866079	8	~1985
7433051	193259327	9	~1987
7433171	14866343	8	~1985
7433357	59466857	8	~1986
7433843	14867687	8	~1985

Exp.	Prime Factor	Digits	Year
7433897	59471177	8	~1986
7433957	44603743	8	~1986
7433999	14867999	8	~1985
7434041	44604247	8	~1986
7434191	14868383	8	~1985
7434311	59474489	8	~1986
7434397	44606383	8	~1986
7434503	14869007	8	~1985
7434517	44607103	8	~1986
7434803	14869607	8	~1985
7434851	14869703	8	~1985
7434881	44609287	8	~1986
7435013	104090183	9	~1987
7435019	14870039	8	~1985
7435033	44610199	8	~1986
7435081	44610487	8	~1986
7435139	14870279	8	~1985
7435151	59481209	8	~1986
7435331	14870663	8	~1985
7435399	74353991	8	~1986
7435931	14871863	8	~1985
7436171	59489369	8	~1986
7436323	74363231	8	~1986
7436453	44618719	8	~1986
7436459	14872919	8	~1985

Exp.	Prime Factor	Digits	Year
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
7441061	44646367	8	~1986
7441099	74410991	8	~1986
7441289	104178047	9	~1987
7441409	59531273	8	~1986
7441633	44649799	8	~1986
7441823	14883647	8	~1985
7441883	14883767	8	~1985
7441961	59535689	8	~1986

Exp.	Prime Factor	Digits	Year
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
7446097	119137553	9	~1987
7446121	44676727	8	~1986
7446223	74462231	8	~1986
7446277	119140433	9	~1987

5.037.460 digits

25-09-07