Small Mersenne Prime Factors (page 784/4665)

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
6656953	39941719	8	~1985
6657073	39942439	8	~1985
6657257	39943543	8	~1985
6657311	53258489	8	~1986
6657437	53259497	8	~1986
6657449	53259593	8	~1986
6657671	13315343	8	~1984
6657779	13315559	8	~1984
6657851	13315703	8	~1984
6657887	53263097	8	~1986
6657929	93211007	8	~1986
6658079	13316159	8	~1984
6658181	39949087	8	~1985
6658321	39949927	8	~1985
6658649	53269193	8	~1986
6658859	13317719	8	~1984
6658921	39953527	8	~1985
6659111	13318223	8	~1984
6659333	39955999	8	~1985
6659369	53274953	8	~1986
6659777	53278217	8	~1986
6660029	53280233	8	~1986
6660061	39960367	8	~1985
6660233	39961399	8	~1985
6660239	13320479	8	~1984

Exp.	Prime Factor	Digits	Year
6660557	53284457	8	~1986
6660707	53285657	8	~1986
6660911	13321823	8	~1984
6661103	13322207	8	~1984
6661157	39966943	8	~1985
6661217	39967303	8	~1985
6661223	13322447	8	~1984
6661273	39967639	8	~1985
6661337	53290697	8	~1986
6661643	13323287	8	~1984
6661661	39969967	8	~1985
6661751	53294009	8	~1986
6662003	13324007	8	~1984
6662063	13324127	8	~1984
6662069	213186209	9	~1987
6662417	692891369	9	~1988
6662477	53299817	8	~1986
6662531	13325063	8	~1984
6662717	53301737	8	~1986
6662741	53301929	8	~1986
6662879	13325759	8	~1984
6663179	13326359	8	~1984
6663487	319847377	9	~1988
6663539	13327079	8	~1984
6663653	39981919	8	~1985

Exp.	Prime Factor	Digits	Year
6663857	39983143	8	~1985
6663869	53310953	8	~1986
6663907	106622513	9	~1986
6663911	13327823	8	~1984
6664103	13328207	8	~1984
6664121	39984727	8	~1985
6664139	13328279	8	~1984
6664481	53315849	8	~1986
6664657	39987943	8	~1985
6664873	39989239	8	~1985
6665063	13330127	8	~1984
6665339	13330679	8	~1984
6665363	13330727	8	~1984
6665627	439931383	9	~1988
6665831	13331663	8	~1984
6665881	39995287	8	~1985
6666133	146654927	9	~1987
6666487	106663793	9	~1986
6666749	200002471	9	~1987
6666761	213336353	9	~1987
6667061	40002367	8	~1985
6667151	13334303	8	~1984
6667183	66671831	8	~1986
6667207	66672071	8	~1986
6667229	53337833	8	~1986

Exp.	Prime Factor	Digits	Year
6667337	40004023	8	~1985
6667337	53338697	8
6667403	13334807	8	~1984
6667637	53341097	8	~1986
6668059	66680591	8	~1986
6668113	40008679	8	~1985
6668939	120040903	9	~1987
6669059	13338119	8	~1984
6669161	40014967	8	~1985
6669251	13338503	8	~1984
6669269	53354153	8	~1986
6669493	40016959	8	~1985
6669587	53356697	8	~1986
6669587	120052567	9
6669857	53358857	8	~1986
6669863	13339727	8	~1984
6669961	40019767	8	~1985
6670211	13340423	8	~1984
6670271	13340543	8	~1984
6670403	13340807	8	~1984
6670427	53363417	8	~1986
6670877	40025263	8	~1985
6671239	760521247	9	~1989
6671243	13342487	8	~1984
6671461	40028767	8	~1985

4.368.158 digits

24-10-27