Small Mersenne Prime Factors (page 1032/5775)

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
9439421	56636527	8	~1987
9439481	56636887	8	~1987
9439571	18879143	8	~1985
9439657	56637943	8	~1987
9439679	18879359	8	~1985
9439957	56639743	8	~1987
9440021	56640127	8	~1987
9440159	75521273	8	~1987
9440267	75522137	8	~1987
9440303	18880607	8	~1985
9440429	75523433	8	~1987
9440477	56642863	8	~1987
9440999	18881999	8	~1985
9441101	56646607	8	~1987
9441149	75529193	8	~1987
9441203	18882407	8	~1985
9441361	56648167	8	~1987
9441373	56648239	8	~1987
9441479	18882959	8	~1985
9441539	302129249	9	~1988
9441989	302143649	9	~1988
9442091	18884183	8	~1985
9442151	18884303	8	~1985
9442379	18884759	8	~1985
9442493	56654959	8	~1987

Exp.	Prime Factor	Digits	Year
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
9444557	75556457	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
9445721	75565769	8	~1987
9445859	75566873	8	~1987
9446039	75568313	8	~1987
9446093	283382791	9	~1988
9446207	75569657	8	~1987
9446231	75569849	8	~1987

Exp.	Prime Factor	Digits	Year
9446617	56679703	8	~1987
9446791	94467911	8	~1987
9446869	226724857	9	~1988
9446999	75575993	8	~1987
9447077	56682463	8	~1987
9447233	3627737473	10	~1991
9447239	75577913	8	~1987
9447479	18894959	8	~1985
9447857	56687143	8	~1987
9447983	4383864113	10	~1991
9448093	56688559	8	~1987
9448181	75585449	8	~1987
9448199	18896399	8	~1985
9448217	75585737	8	~1987
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
9449471	75595769	8	~1987
9449717	75597737	8	~1987
9449831	18899663	8	~1985
9449903	18899807	8	~1985

Exp.	Prime Factor	Digits	Year
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
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	~1988
9452543	18905087	8	~1985
9452771	18905543	8	~1985
9453113	56718679	8	~1987
9453131	18906263	8	~1985
9453319	94533191	8	~1987
9453401	56720407	8	~1987
9453551	18907103	8	~1985
9453599	75628793	8	~1987
9453817	56722903	8	~1987
9454079	18908159	8	~1985
9454079	75632633	8

5.471.290 digits

26-03-29