Small Mersenne Prime Factors (page 970/5460)

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
8769653	210471673	9	~1988
8769973	52619839	8	~1986
8769983	17539967	8	~1985
8770063	87700631	8	~1987
8770121	70160969	8	~1987
8770219	1771584239	10	~1990
8770313	52621879	8	~1986
8770451	17540903	8	~1985
8770477	52622863	8	~1986
8770901	52625407	8	~1986
8771033	52626199	8	~1986
8771051	17542103	8	~1985
8771267	70170137	8	~1987
8771381	52628287	8	~1986
8771593	52629559	8	~1986
8771669	70173353	8	~1987
8771681	52630087	8	~1986
8771783	17543567	8	~1985
8771941	52631647	8	~1986
8772149	70177193	8	~1987
8772161	52632967	8	~1986
8772209	210533017	9	~1988
8772251	17544503	8	~1985
8772563	17545127	8	~1985
8772839	17545679	8	~1985

Exp.	Prime Factor	Digits	Year
8773091	17546183	8	~1985
8773619	17547239	8	~1985
8773733	52642399	8	~1986
8773757	52642543	8	~1986
8773781	52642687	8	~1986
8773859	210572617	9	~1988
8773937	70191497	8	~1987
8774083	368511487	9	~1988
8774113	52644679	8	~1986
8774351	17548703	8	~1985
8774483	17548967	8	~1985
8774531	70196249	8	~1987
8774543	17549087	8	~1985
8774693	52648159	8	~1986
8774917	52649503	8	~1986
8774939	17549879	8	~1985
8775457	140407313	9	~1987
8775527	70204217	8	~1987
8775659	17551319	8	~1985
8775979	421246993	9	~1989
8775997	52655983	8	~1986
8776291	87762911	8	~1987
8776387	157974967	9	~1988
8776541	52659247	8	~1986
8776633	140426129	9	~1987

Exp.	Prime Factor	Digits	Year
8776693	52660159	8	~1986
8776697	52660183	8	~1986
8776739	17553479	8	~1985
8776753	52660519	8	~1986
8776769	70214153	8	~1987
8777033	52662199	8	~1986
8777243	17554487	8	~1985
8777519	17555039	8	~1985
8777819	70222553	8	~1987
8777837	70222697	8	~1987
8778023	17556047	8	~1985
8778557	491599193	9	~1989
8778569	474042727	9	~1989
8778593	263357791	9	~1988
8778899	70231193	8	~1987
8779139	70233113	8	~1987
8779481	52676887	8	~1986
8779621	52677727	8	~1986
8780113	52680679	8	~1986
8780171	17560343	8	~1985
8780459	17560919	8	~1985
8780543	17561087	8	~1985
8780677	52684063	8	~1986
8781013	52686079	8	~1986
8781181	52687087	8	~1986

Exp.	Prime Factor	Digits	Year
8781449	122940287	9	~1987
8781491	17562983	8	~1985
8781497	52688983	8	~1986
8781659	17563319	8	~1985
8781683	17563367	8	~1985
8781683	228323759	9
8781797	70254377	8	~1987
8781937	52691623	8	~1986
8781953	52691719	8	~1986
8782097	70256777	8	~1987
8782337	70258697	8	~1987
8783009	122962127	9	~1987
8783017	52698103	8	~1986
8783147	70265177	8	~1987
8783161	52698967	8	~1986
8783239	87832391	8	~1987
8783771	70270169	8	~1987
8783843	17567687	8	~1985
8783903	17567807	8	~1985
8784731	17569463	8	~1985
8784757	52708543	8	~1986
8784983	17569967	8	~1985
8785177	52711063	8	~1986
8785223	17570447	8	~1985
8785397	70283177	8	~1987

5.157.210 digits

25-11-02