Small Mersenne Prime Factors (page 413/5775)

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
2136839	17094713	8
2136913	34190609	8	~1983
2136983	4273967	7	~1980
2137133	29919863	8	~1983
2137141	12822847	8	~1982
2137159	21371591	8	~1982
2137211	4274423	7	~1980
2137409	68397089	8	~1983
2137507	38475127	8	~1983
2137571	38476279	8	~1983
2138291	4276583	7	~1980
2138399	4276799	7	~1980
2138419	51322057	8	~1983
2138483	4276967	7	~1980
2138537	64156111	8	~1983
2138737	98381903	8	~1984
2138879	4277759	7	~1980
2138987	51335689	8	~1983
2139337	12836023	8	~1982
2139427	51346249	8	~1983
2139583	21395831	8	~1982
2139743	4279487	7	~1980
2139877	12839263	8	~1982
2139931	38518759	8	~1983
2139953	12839719	8	~1982

Exp.	Prime Factor	Digits	Year
2140001	12840007	8	~1982
2140013	64200391	8	~1983
2140057	12840343	8	~1982
2140091	4280183	7	~1980
2140157	64204711	8	~1983
2140199	4280399	7	~1980
2140253	68488097	8	~1983
2140301	17122409	8	~1982
2140349	68491169	8	~1983
2140367	55649543	8	~1983
2140447	51370729	8	~1983
2140627	21406271	8	~1982
2140753	12844519	8	~1982
2140763	158416463	9	~1984
2140807	21408071	8	~1982
2141141	17129129	8	~1982
2141159	4282319	7	~1980
2141407	34262513	8	~1983
2141437	12848623	8	~1982
2141543	4283087	7	~1980
2141549	102794353	9	~1984
2141591	4283183	7	~1980
2141731	188472329	9	~1984
2141891	38554039	8	~1983
2141897	12851383	8	~1982

Exp.	Prime Factor	Digits	Year
2141899	38554183	8	~1983
2142251	4284503	7	~1980
2142431	17139449	8	~1982
2142449	29994287	8	~1983
2142577	12855463	8	~1982
2142691	34283057	8	~1983
2142793	12856759	8	~1982
2142923	4285847	7	~1980
2142971	102862609	9	~1984
2143073	120012089	9	~1984
2143217	12859303	8	~1982
2143223	107161151	9	~1984
2143279	51438697	8	~1983
2143331	4286663	7	~1980
2143417	51442009	8	~1983
2143451	4286903	7	~1980
2143571	55732847	8	~1983
2143667	17149337	8	~1982
2143859	4287719	7	~1980
2143943	4287887	7	~1980
2144063	4288127	7	~1980
2144117	270158743	9	~1985
2144161	47171543	8	~1983
2144209	47172599	8	~1983
2144209	561782759	9

Exp.	Prime Factor	Digits	Year
2144251	34308017	8	~1983
2144279	17154233	8	~1982
2144399	4288799	7	~1980
2144501	12867007	8	~1982
2144507	274496897	9	~1985
2144551	21445511	8	~1982
2144683	308834353	9	~1985
2144719	72920447	8	~1983
2144729	30026207	8	~1983
2144801	17158409	8	~1982
2145023	4290047	7	~1980
2145083	193057471	9	~1984
2145137	17161097	8	~1982
2145287	38615167	8	~1983
2145287	51486889	8
2145331	34325297	8	~1983
2145443	4290887	7	~1980
2145497	12872983	8	~1982
2145551	4291103	7	~1980
2145631	34330097	8	~1983
2145779	4291559	7	~1980
2146093	34337489	8	~1983
2146093	47214047	8
2146283	4292567	7	~1980
2146357	137366849	9	~1984

5.471.290 digits

26-03-29