Small Mersenne Prime Factors (page 942/5130)

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
8670989	121393847	9	~1987
8671057	52026343	8	~1986
8671511	17343023	8	~1985
8671721	52030327	8	~1986
8671919	17343839	8	~1985
8671937	69375497	8	~1987
8671979	17343959	8	~1985
8671979	69375833	8
8671991	17343983	8	~1985
8672047	138752753	9	~1987
8672087	156097567	9	~1987
8672201	52033207	8	~1986
8672773	52036639	8	~1986
8672897	52037383	8	~1986
8672953	138767249	9	~1987
8672969	69383753	8	~1987
8673073	52038439	8	~1986
8673373	138773969	9	~1987
8673911	17347823	8	~1985
8674331	17348663	8	~1985
8674399	156139183	9	~1987
8674453	138791249	9	~1987
8674619	17349239	8	~1985
8674937	69399497	8	~1987
8675591	17351183	8	~1985

Exp.	Prime Factor	Digits	Year
8675651	17351303	8	~1985
8675743	86757431	8	~1987
8675813	52054879	8	~1986
8676013	52056079	8	~1986
8676119	17352239	8	~1985
8676337	52058023	8	~1986
8676779	17353559	8	~1985
8676937	52061623	8	~1986
8676971	17353943	8	~1985
8677079	17354159	8	~1985
8677457	121484399	9	~1987
8677577	52065463	8	~1986
8678051	17356103	8	~1985
8678783	17357567	8	~1985
8678903	17357807	8	~1985
8678963	17357927	8	~1985
8679059	17358119	8	~1985
8679193	52075159	8	~1986
8679221	52075327	8	~1986
8679277	52075663	8	~1986
8679311	17358623	8	~1985
8679641	52077847	8	~1986
8679791	17359583	8	~1985
8679971	17359943	8	~1985
8680043	17360087	8	~1985

Exp.	Prime Factor	Digits	Year
8680103	17360207	8	~1985
8680157	52080943	8	~1986
8680313	52081879	8	~1986
8680391	277772513	9	~1988
8680583	17361167	8	~1985
8680697	52084183	8	~1986
8680733	52084399	8	~1986
8680811	17361623	8	~1985
8680823	17361647	8	~1985
8681177	69449417	8	~1987
8681489	69451913	8	~1987
8682143	364650007	9	~1988
8682199	86821991	8	~1987
8682659	17365319	8	~1985
8682851	17365703	8	~1985
8683237	607826591	9	~1989
8683331	17366663	8	~1985
8683439	17366879	8	~1985
8683517	52101103	8	~1986
8683637	52101823	8	~1986
8683639	625222009	9	~1989
8684099	17368199	8	~1985
8684213	52105279	8	~1986
8684437	52106623	8	~1986
8684521	52107127	8	~1986

Exp.	Prime Factor	Digits	Year
8684657	52107943	8	~1986
8684693	52108159	8	~1986
8684699	17369399	8	~1985
8684759	17369519	8	~1985
8684771	17369543	8	~1985
8685073	191071607	9	~1988
8685263	17370527	8	~1985
8685667	138970673	9	~1987
8685791	17371583	8	~1985
8685863	17371727	8	~1985
8685923	17371847	8	~1985
8686259	17372519	8	~1985
8686679	17373359	8	~1985
8687093	52122559	8	~1986
8687183	17374367	8	~1985
8687233	52123399	8	~1986
8687797	52126783	8	~1986
8687891	17375783	8	~1985
8688059	17376119	8	~1985
8688083	17376167	8	~1985
8688287	225895463	9	~1988
8688299	17376599	8	~1985
8688353	52130119	8	~1986
8688551	17377103	8	~1985
8688611	17377223	8	~1985

4.828.532 digits

25-06-01