Small Mersenne Prime Factors (page 837/5430)

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
6831991	109311857	9	~1987
6832069	163969657	9	~1987
6832151	13664303	8	~1984
6832201	40993207	8	~1986
6832379	13664759	8	~1984
6832811	13665623	8	~1984
6833011	68330111	8	~1986
6833069	54664553	8	~1986
6833261	54666089	8	~1986
6833699	164008777	9	~1987
6833909	54671273	8	~1986
6833993	41003959	8	~1986
6834083	13668167	8	~1984
6834277	41005663	8	~1986
6834559	232375007	9	~1987
6834613	41007679	8	~1986
6835319	13670639	8	~1984
6835537	41013223	8	~1986
6835571	13671143	8	~1984
6835691	54685529	8	~1986
6835931	13671863	8	~1984
6836003	13672007	8	~1984
6836111	13672223	8	~1984
6836243	13672487	8	~1984
6836293	41017759	8	~1986

Exp.	Prime Factor	Digits	Year
6836411	13672823	8	~1984
6836563	273462521	9	~1988
6836603	13673207	8	~1984
6836693	41020159	8	~1986
6836783	13673567	8	~1984
6837041	54696329	8	~1986
6837161	41022967	8	~1986
6837353	41024119	8	~1986
6837443	13674887	8	~1984
6837617	328205617	9	~1988
6837683	13675367	8	~1984
6837773	41026639	8	~1986
6837841	41027047	8	~1986
6838151	13676303	8	~1984
6838241	54705929	8	~1986
6838571	13677143	8	~1984
6838739	54709913	8	~1986
6838801	41032807	8	~1986
6838883	13677767	8	~1984
6839879	13679759	8	~1984
6839939	13679879	8	~1984
6840083	13680167	8	~1984
6840187	68401871	8	~1986
6840359	54722873	8	~1986
6840469	328342513	9	~1988

Exp.	Prime Factor	Digits	Year
6840721	41044327	8	~1986
6841217	54729737	8	~1986
6842113	41052679	8	~1986
6842167	68421671	8	~1986
6842567	54740537	8	~1986
6842639	13685279	8	~1984
6842681	41056087	8	~1986
6842963	13685927	8	~1984
6843143	13686287	8	~1984
6843203	287414527	9	~1988
6843359	13686719	8	~1984
6843491	13686983	8	~1984
6843671	13687343	8	~1984
6843899	13687799	8	~1984
6843961	41063767	8	~1986
6844031	13688063	8	~1984
6844051	68440511	8	~1986
6844451	54755609	8	~1986
6844507	68445071	8	~1986
6844559	13689119	8	~1984
6845341	41072047	8	~1986
6845381	41072287	8	~1986
6845687	54765497	8	~1986
6845821	41074927	8	~1986
6845939	13691879	8	~1984

Exp.	Prime Factor	Digits	Year
6846263	13692527	8	~1984
6846313	41077879	8	~1986
6846611	54772889	8	~1986
6846803	13693607	8	~1984
6846817	41080903	8	~1986
6846841	109549457	9	~1987
6847091	13694183	8	~1984
6847499	13694999	8	~1984
6847499	54779993	8
6847723	68477231	8	~1986
6847783	109564529	9	~1987
6847829	54782633	8	~1986
6847837	41087023	8	~1986
6848351	13696703	8	~1984
6848371	68483711	8	~1986
6848707	68487071	8	~1986
6849071	13698143	8	~1984
6849131	13698263	8	~1984
6849281	205478431	9	~1987
6849301	150684623	9	~1987
6849413	41096479	8	~1986
6849767	54798137	8	~1986
6849767	178093943	9
6849917	41099503	8	~1986
6850139	13700279	8	~1984

5.127.372 digits

25-10-20