Small Mersenne Prime Factors (page 952/4665)

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
9442379	18884759	8	~1985
9442493	56654959	8	~1987
9443039	18886079	8	~1985
9443303	18886607	8	~1985
9443519	18887039	8	~1985
9443807	75550457	8	~1987
9444059	18888119	8	~1985
9444103	623310799	9	~1989
9444221	56665327	8	~1987
9444353	56666119	8	~1987
9444439	94444391	8	~1987
9444497	56666983	8	~1987
9444781	56668687	8	~1987
9444839	18889679	8	~1985
9444839	75558713	8
9444901	56669407	8	~1987
9445043	18890087	8	~1985
9445379	18890759	8	~1985
9445391	18890783	8	~1985
9445511	18891023	8	~1985
9446093	283382791	9	~1988
9446617	56679703	8	~1987
9446791	94467911	8	~1987
9446869	226724857	9	~1988
9446999	75575993	8	~1987

Exp.	Prime Factor	Digits	Year
9447077	56682463	8	~1987
9447233	3627737473	10	~1991
9447479	18894959	8	~1985
9447857	56687143	8	~1987
9447983	4383864113	10	~1991
9448093	56688559	8	~1987
9448181	75585449	8	~1987
9448199	18896399	8	~1985
9448919	75591353	8	~1987
9448973	56693839	8	~1987
9448979	18897959	8	~1985
9449039	18898079	8	~1985
9449243	18898487	8	~1985
9449353	56696119	8	~1987
9449437	56696623	8	~1987
9449717	75597737	8	~1987
9449831	18899663	8	~1985
9449903	18899807	8	~1985
9450037	56700223	8	~1987
9450173	56701039	8	~1987
9450481	56702887	8	~1987
9450587	2967484319	10	~1991
9450761	56704567	8	~1987
9451003	396942127	9	~1989
9451061	56706367	8	~1987

Exp.	Prime Factor	Digits	Year
9451199	18902399	8	~1985
9451451	18902903	8	~1985
9451627	94516271	8	~1987
9451669	226840057	9	~1988
9451817	56710903	8	~1987
9451979	18903959	8	~1985
9452309	132332327	9	~1987
9452543	18905087	8	~1985
9452771	18905543	8	~1985
9453113	56718679	8	~1987
9453131	18906263	8	~1985
9453401	56720407	8	~1987
9453551	18907103	8	~1985
9453817	56722903	8	~1987
9454079	18908159	8	~1985
9454141	56724847	8	~1987
9454223	18908447	8	~1985
9454463	18908927	8	~1985
9454619	18909239	8	~1985
9454871	18909743	8	~1985
9454979	170189623	9	~1988
9455003	18910007	8	~1985
9455497	151287953	9	~1988
9455819	18911639	8	~1985
9456017	56736103	8	~1987

Exp.	Prime Factor	Digits	Year
9456899	18913799	8	~1985
9456907	94569071	8	~1987
9456977	56741863	8	~1987
9457319	18914639	8	~1985
9457361	75658889	8	~1987
9457397	56744383	8	~1987
9457537	56745223	8	~1987
9458101	56748607	8	~1987
9458153	132414143	9	~1988
9458243	18916487	8	~1985
9458279	18916559	8	~1985
9458291	75666329	8	~1987
9458377	56750263	8	~1987
9458483	18916967	8	~1985
9458531	75668249	8	~1987
9458531	1210691969	10
9458651	18917303	8	~1985
9458767	94587671	8	~1987
9459071	18918143	8	~1985
9459137	75673097	8	~1987
9459251	18918503	8	~1985
9459503	18919007	8	~1985
9459767	75678137	8	~1987
9459869	132438167	9	~1988
9460027	94600271	8	~1987

4.368.158 digits

24-10-27