Small Mersenne Prime Factors (page 701/5340)

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
5120957	71693399	8
5120963	10241927	8	~1983
5121209	40969673	8	~1985
5121323	10242647	8	~1983
5121353	30728119	8	~1985
5121359	10242719	8	~1983
5121667	81946673	8	~1986
5121821	30730927	8	~1985
5121841	30731047	8	~1985
5121911	10243823	8	~1983
5122121	30732727	8	~1985
5122679	10245359	8	~1983
5122739	10245479	8	~1983
5122919	10245839	8	~1983
5122961	40983689	8	~1985
5123003	10246007	8	~1983
5123197	30739183	8	~1985
5123231	10246463	8	~1983
5123281	81972497	8	~1986
5123771	10247543	8	~1983
5124011	10248023	8	~1983
5124131	368937433	9	~1987
5124253	122982073	9	~1986
5124443	133235519	9	~1986
5124491	502200119	9	~1988

Exp.	Prime Factor	Digits	Year
5124683	10249367	8	~1983
5125073	317754527	9	~1987
5125201	645775327	9	~1988
5125273	30751639	8	~1985
5125511	10251023	8	~1983
5125733	5853587087	10	~1990
5125811	41006489	8	~1985
5125931	10251863	8	~1983
5126003	10252007	8	~1983
5126123	10252247	8	~1983
5126483	10252967	8	~1983
5126603	10253207	8	~1983
5126753	30760519	8	~1985
5126819	41014553	8	~1985
5126909	123045817	9	~1986
5126959	51269591	8	~1985
5126963	10253927	8	~1983
5126971	51269711	8	~1985
5126977	358888391	9	~1987
5127203	10254407	8	~1983
5127341	30764047	8	~1985
5127481	82039697	8	~1986
5127839	41022713	8	~1985
5127971	10255943	8	~1983
5128297	153848911	9	~1986

Exp.	Prime Factor	Digits	Year
5128337	30770023	8	~1985
5128337	41026697	8
5128351	92310319	8	~1986
5128391	10256783	8	~1983
5128523	10257047	8	~1983
5128583	10257167	8	~1983
5128691	10257383	8	~1983
5128817	71803439	8	~1985
5128859	10257719	8	~1983
5128867	92319607	8	~1986
5129129	41033033	8	~1985
5129171	10258343	8	~1983
5129177	153875311	9	~1986
5129197	30775183	8	~1985
5129279	10258559	8	~1983
5129309	41034473	8	~1985
5129381	30776287	8	~1985
5129557	30777343	8	~1985
5129953	30779719	8	~1985
5130017	30780103	8	~1985
5130067	51300671	8	~1985
5130557	41044457	8	~1985
5130577	30783463	8	~1985
5130683	10261367	8	~1983
5130743	10261487	8	~1983

Exp.	Prime Factor	Digits	Year
5130857	30785143	8	~1985
5131019	10262039	8	~1983
5131163	10262327	8	~1983
5131177	30787063	8	~1985
5131207	82099313	8	~1986
5131211	41049689	8	~1985
5131543	82104689	8	~1986
5131631	41053049	8	~1985
5131799	10263599	8	~1983
5131823	10263647	8	~1983
5131961	30791767	8	~1985
5132053	30792319	8	~1985
5132221	30793327	8	~1985
5132273	30793639	8	~1985
5132497	82119953	8	~1986
5132537	41060297	8	~1985
5132537	246361777	9
5132581	30795487	8	~1985
5132591	10265183	8	~1983
5132597	41060777	8	~1985
5132957	30797743	8	~1985
5132993	30797959	8	~1985
5132999	10265999	8	~1983
5133263	10266527	8	~1983
5133277	30799663	8	~1985

5.037.460 digits

25-09-07