Small Mersenne Prime Factors (page 979/5205)

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
9204491	18408983	8	~1985
9204593	55227559	8	~1987
9204703	92047031	8	~1987
9204913	55229479	8	~1987
9204983	18409967	8	~1985
9205013	55230079	8	~1987
9205019	18410039	8	~1985
9205271	18410543	8	~1985
9205277	55231663	8	~1987
9205321	55231927	8	~1987
9205379	18410759	8	~1985
9205523	18411047	8	~1985
9205649	128879087	9	~1987
9205739	18411479	8	~1985
9205769	128880767	9	~1987
9205961	55235767	8	~1987
9206053	55236319	8	~1987
9206159	18412319	8	~1985
9206291	165713239	9	~1988
9206447	460322351	9	~1989
9206713	55240279	8	~1987
9207853	55247119	8	~1987
9207959	18415919	8	~1985
9208037	55248223	8	~1987
9208571	18417143	8	~1985

Exp.	Prime Factor	Digits	Year
9208583	18417167	8	~1985
9208931	18417863	8	~1985
9209141	55254847	8	~1987
9209279	18418559	8	~1985
9209401	55256407	8	~1987
9209489	73675913	8	~1987
9209771	18419543	8	~1985
9209831	18419663	8	~1985
9210059	18420119	8	~1985
9210119	18420239	8	~1985
9210203	18420407	8	~1985
9210241	55261447	8	~1987
9210613	55263679	8	~1987
9210673	55264039	8	~1987
9210757	55264543	8	~1987
9210841	55265047	8	~1987
9210917	1455324887	10	~1990
9211117	147377873	9	~1988
9211259	18422519	8	~1985
9211379	18422759	8	~1985
9211597	55269583	8	~1987
9212129	128969807	9	~1987
9212243	18424487	8	~1985
9212303	18424607	8	~1985
9212447	239523623	9	~1988

Exp.	Prime Factor	Digits	Year
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
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
9216281	55297687	8	~1987

Exp.	Prime Factor	Digits	Year
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
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
9219011	18438023	8	~1985
9219053	55314319	8	~1987
9219131	18438263	8	~1985
9219659	18439319	8	~1985
9219779	18439559	8	~1985
9219923	18439847	8	~1985

4.903.097 digits

25-07-08