Small Mersenne Prime Factors (page 964/5070)

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
9122389	218937337	9	~1988
9123031	91230311	8	~1987
9123469	437926513	9	~1989
9123659	18247319	8	~1985
9123721	63482850719	11	~1994
9124001	54744007	8	~1986
9124331	18248663	8	~1985
9124463	18248927	8	~1985
9125113	54750679	8	~1986
9125279	18250559	8	~1985
9125323	91253231	8	~1987
9125351	18250703	8	~1985
9125497	54752983	8	~1986
9125581	54753487	8	~1986
9125639	18251279	8	~1985
9125771	18251543	8	~1985
9126011	18252023	8	~1985
9126287	73010297	8	~1987
9126361	54758167	8	~1986
9126511	438072529	9	~1989
9126571	91265711	8	~1987
9126659	73013273	8	~1987
9126787	91267871	8	~1987
9127043	18254087	8	~1985
9127091	18254183	8	~1985

Exp.	Prime Factor	Digits	Year
9127091	73016729	8
9127213	219053113	9	~1988
9127291	91272911	8	~1987
9127463	18254927	8	~1985
9127523	18255047	8	~1985
9127537	54765223	8	~1986
9127627	91276271	8	~1987
9127633	146042129	9	~1988
9127637	219063289	9	~1988
9127787	73022297	8	~1987
9127817	54766903	8	~1986
9127957	273838711	9	~1988
9128087	876296353	9	~1989
9128377	54770263	8	~1986
9128501	54771007	8	~1986
9128579	18257159	8	~1985
9128579	73028633	8
9128653	54771919	8	~1986
9128681	54772087	8	~1986
9128681	73029449	8
9128737	54772423	8	~1986
9128831	73030649	8	~1987
9129013	54774079	8	~1986
9129023	18258047	8	~1985
9129151	91291511	8	~1987

Exp.	Prime Factor	Digits	Year
9129293	54775759	8	~1986
9129299	18258599	8	~1985
9129739	91297391	8	~1987
9129773	54778639	8	~1986
9129893	54779359	8	~1986
9129959	18259919	8	~1985
9130019	73040153	8	~1987
9130031	18260063	8	~1985
9130067	73040537	8	~1987
9130117	54780703	8	~1986
9130217	54781303	8	~1986
9130463	18260927	8	~1985
9130657	54783943	8	~1986
9130799	18261599	8	~1985
9130841	54785047	8	~1986
9131123	18262247	8	~1985
9131231	18262463	8	~1985
9131237	54787423	8	~1986
9131399	18262799	8	~1985
9131543	18263087	8	~1985
9131579	18263159	8	~1985
9131651	18263303	8	~1985
9131821	1241927657	10	~1990
9131939	18263879	8	~1985
9132041	712299199	9	~1989

Exp.	Prime Factor	Digits	Year
9132251	18264503	8	~1985
9132317	54793903	8	~1986
9132577	54795463	8	~1986
9132743	18265487	8	~1985
9132923	18265847	8	~1985
9133031	18266063	8	~1985
9133183	91331831	8	~1987
9133717	54802303	8	~1987
9134617	54807703	8	~1987
9134617	584615489	9
9134669	73077353	8	~1987
9134903	18269807	8	~1985
9135199	164433583	9	~1988
9135233	54811399	8	~1987
9135829	365433161	9	~1989
9136079	18272159	8	~1985
9136499	18272999	8	~1985
9136693	54820159	8	~1987
9136703	18273407	8	~1985
9136741	365469641	9	~1989
9136793	127915103	9	~1987
9136951	91369511	8	~1987
9136951	146191217	9
9137053	54822319	8	~1987
9137099	18274199	8	~1985

4.768.925 digits

25-05-04