Small Mersenne Prime Factors (page 733/6105)

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
5154173	72158423	8	~1986
5154221	41233769	8	~1985
5154239	10308479	8	~1983
5154307	51543071	8	~1985
5154427	82470833	8	~1986
5154497	30926983	8	~1985
5154557	30927343	8	~1985
5154761	41238089	8	~1985
5154911	10309823	8	~1983
5154923	10309847	8	~1983
5155103	10310207	8	~1983
5155219	51552191	8	~1985
5155439	381502487	9	~1987
5155499	10310999	8	~1983
5155511	10311023	8	~1983
5155547	41244377	8	~1985
5155567	51555671	8	~1985
5156183	2144972129	10	~1989
5156213	30937279	8	~1985
5156561	30939367	8	~1985
5156663	10313327	8	~1983
5156773	82508369	8	~1986
5156891	10313783	8	~1983
5156971	82511537	8	~1986
5157143	10314287	8	~1983

Exp.	Prime Factor	Digits	Year
5157197	30943183	8	~1985
5157203	10314407	8	~1983
5157247	51572471	8	~1985
5157419	10314839	8	~1983
5157479	10314959	8	~1983
5157547	51575471	8	~1985
5157599	10315199	8	~1983
5157731	10315463	8	~1983
5157791	41262329	8	~1985
5158001	41264009	8	~1985
5158073	443594279	9	~1987
5158117	82529873	8	~1986
5158199	41265593	8	~1985
5158277	30949663	8	~1985
5158453	30950719	8	~1985
5158501	30951007	8	~1985
5158711	51587111	8	~1985
5158883	10317767	8	~1983
5158987	51589871	8	~1985
5159047	51590471	8	~1985
5159611	82553777	8	~1986
5159617	1238308081	10	~1989
5159657	30957943	8	~1985
5159663	10319327	8	~1983
5159669	72235367	8	~1986

Exp.	Prime Factor	Digits	Year
5159677	30958063	8	~1985
5159711	10319423	8	~1983
5160079	92881423	8	~1986
5160329	72244607	8	~1986
5160377	30962263	8	~1985
5160413	30962479	8	~1985
5160613	30963679	8	~1985
5160719	10321439	8	~1983
5160791	10321583	8	~1983
5160803	10321607	8	~1983
5160839	10321679	8	~1983
5160923	10321847	8	~1983
5160959	10321919	8	~1983
5161231	82579697	8	~1986
5161357	82581713	8	~1986
5161411	51614111	8	~1985
5161451	41291609	8	~1985
5161529	371630089	9	~1987
5161571	10323143	8	~1983
5161921	30971527	8	~1985
5161997	567819671	9	~1988
5162123	10324247	8	~1983
5162177	278757559	9	~1987
5162299	92921383	8	~1986
5162489	72274847	8	~1986

Exp.	Prime Factor	Digits	Year
5162587	1579751623	10	~1989
5162711	10325423	8	~1983
5162767	82604273	8	~1986
5162831	10325663	8	~1983
5163377	30980263	8	~1985
5163517	30981103	8	~1985
5163583	175561823	9	~1986
5163751	51637511	8	~1985
5163817	82621073	8	~1986
5163883	51638831	8	~1985
5164123	51641231	8	~1985
5164123	82625969	8
5164147	82626353	8	~1986
5164283	216899887	9	~1987
5164331	10328663	8	~1983
5164361	30986167	8	~1985
5164591	51645911	8	~1985
5164609	247901233	9	~1987
5164897	30989383	8	~1985
5165113	30990679	8	~1985
5165123	10330247	8	~1983
5165423	10330847	8	~1983
5165519	10331039	8	~1983
5165591	10331183	8	~1983
5165647	51656471	8	~1985

5.800.574 digits

26-08-30