Small Mersenne Prime Factors (page 1029/5985)

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
9210917	1455324887	10	~1990
9211117	147377873	9	~1988
9211259	18422519	8	~1985
9211379	18422759	8	~1985
9211597	55269583	8	~1987
9212129	128969807	9	~1987
9212219	73697753	8	~1987
9212243	18424487	8	~1985
9212267	73698137	8	~1987
9212303	18424607	8	~1985
9212447	239523623	9	~1988
9212573	55275439	8	~1987
9212681	55276087	8	~1987
9212939	18425879	8	~1985
9212999	18425999	8	~1985
9213011	165834199	9	~1988
9213131	18426263	8	~1985
9213383	18426767	8	~1985
9213437	73707497	8	~1987
9213839	18427679	8	~1985
9213923	239561999	9	~1988
9213937	55283623	8	~1987
9214351	92143511	8	~1987
9214351	147429617	9
9214631	18429263	8	~1985

Exp.	Prime Factor	Digits	Year
9214859	73718873	8	~1987
9214883	18429767	8	~1985
9214957	55289743	8	~1987
9215039	18430079	8	~1985
9215293	55291759	8	~1987
9215471	18430943	8	~1985
9215603	18431207	8	~1985
9215639	18431279	8	~1985
9215831	18431663	8	~1985
9215879	18431759	8	~1985
9216019	92160191	8	~1987
9216107	73728857	8	~1987
9216281	55297687	8	~1987
9216611	18433223	8	~1985
9216731	18433463	8	~1985
9216787	147468593	9	~1988
9217001	55302007	8	~1987
9217031	73736249	8	~1987
9217097	129039359	9	~1987
9217141	55302847	8	~1987
9217277	55303663	8	~1987
9217343	18434687	8	~1985
9217381	55304287	8	~1987
9217739	18435479	8	~1985
9217811	18435623	8	~1985

Exp.	Prime Factor	Digits	Year
9217837	55307023	8	~1987
9217979	18435959	8	~1985
9217981	55307887	8	~1987
9218123	18436247	8	~1985
9218197	55309183	8	~1987
9218453	55310719	8	~1987
9218459	18436919	8	~1985
9218969	73751753	8	~1987
9219011	18438023	8	~1985
9219053	55314319	8	~1987
9219131	18438263	8	~1985
9219659	18439319	8	~1985
9219659	73757273	8
9219677	73757417	8	~1987
9219779	18439559	8	~1985
9219923	18439847	8	~1985
9220019	18440039	8	~1985
9220163	18440327	8	~1985
9220181	55321087	8	~1987
9220331	18440663	8	~1985
9220459	92204591	8	~1987
9220559	18441119	8	~1985
9220583	18441167	8	~1985
9220621	55323727	8	~1987
9220721	55324327	8	~1987

Exp.	Prime Factor	Digits	Year
9221657	55329943	8	~1987
9221711	18443423	8	~1985
9221747	73773977	8	~1987
9221753	55330519	8	~1987
9221867	73774937	8	~1987
9221879	73775033	8	~1987
9221921	55331527	8	~1987
9221921	73775369	8
9222179	18444359	8	~1985
9222443	18444887	8	~1985
9222589	221342137	9	~1988
9222659	18445319	8	~1985
9222671	73781369	8	~1987
9223321	55339927	8	~1987
9223387	92233871	8	~1987
9223573	55341439	8	~1987
9223597	147577553	9	~1988
9223649	73789193	8	~1987
9223751	18447503	8	~1985
9224323	92243231	8	~1987
9224399	18448799	8	~1985
9224837	129147719	9	~1987
9224927	73799417	8	~1987
9224983	221399593	9	~1988
9225179	18450359	8	~1985

5.680.769 digits

26-07-05