Small Mersenne Prime Factors (page 983/5070)

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
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
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

Exp.	Prime Factor	Digits	Year
9454979	75639833	8	~1987
9454979	170189623	9
9455003	18910007	8	~1985
9455497	151287953	9	~1988
9455819	18911639	8	~1985
9456017	56736103	8	~1987
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

Exp.	Prime Factor	Digits	Year
9459137	75673097	8	~1987
9459251	18918503	8	~1985
9459503	18919007	8	~1985
9459767	75678137	8	~1987
9459869	132438167	9	~1988
9460027	94600271	8	~1987
9460163	18920327	8	~1985
9460259	18920519	8	~1985
9460331	18920663	8	~1985
9460403	18920807	8	~1985
9460439	18920879	8	~1985
9460439	75683513	8
9460571	18921143	8	~1985
9460621	56763727	8	~1987
9460631	18921263	8	~1985
9460697	359506487	9	~1989
9460733	56764399	8	~1987
9460861	56765167	8	~1987
9461113	56766679	8	~1987
9461339	1816577089	10	~1990
9461519	18923039	8	~1985
9461633	56769799	8	~1987
9461663	18923327	8	~1985
9461861	75694889	8	~1987
9462023	18924047	8	~1985

Exp.	Prime Factor	Digits	Year
9462239	75697913	8	~1987
9462239	170320303	9
9462577	56775463	8	~1987
9462811	94628111	8	~1987
9463061	56778367	8	~1987
9463319	18926639	8	~1985
9463697	56782183	8	~1987
9463703	18927407	8	~1985
9463739	18927479	8	~1985
9463931	18927863	8	~1985
9463991	18927983	8	~1985
9464111	18928223	8	~1985
9464723	18929447	8	~1985
9464737	151435793	9	~1988
9464887	94648871	8	~1987
9465083	18930167	8	~1985
9465271	94652711	8	~1987
9465539	18931079	8	~1985
9465809	75726473	8	~1987
9466021	56796127	8	~1987
9466211	18932423	8	~1985
9466381	151462097	9	~1988
9466403	18932807	8	~1985
9466703	18933407	8	~1985
9466799	170402383	9	~1988

4.768.925 digits

25-05-04