Small Mersenne Prime Factors (page 987/5550)

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
8951687	71613497	8	~1987
8951711	17903423	8	~1985
8952323	17904647	8	~1985
8952431	17904863	8	~1985
8952479	17904959	8	~1985
8952511	143240177	9	~1988
8952673	572971073	9	~1989
8953319	17906639	8	~1985
8953403	17906807	8	~1985
8953709	71629673	8	~1987
8953733	53722399	8	~1986
8953771	89537711	8	~1987
8953811	17907623	8	~1985
8953943	17907887	8	~1985
8953943	214894633	9
8954051	71632409	8	~1987
8954051	376070143	9
8954213	53725279	8	~1986
8954321	53725927	8	~1986
8954831	71638649	8	~1987
8955083	376113487	9	~1989
8955181	53731087	8	~1986
8955371	17910743	8	~1985
8955539	17911079	8	~1985
8955547	89555471	8	~1987

Exp.	Prime Factor	Digits	Year
8955599	17911199	8	~1985
8955899	17911799	8	~1985
8955977	53735863	8	~1986
8955977	71647817	8
8956217	214949209	9	~1988
8956463	17912927	8	~1985
8956537	53739223	8	~1986
8956681	53740087	8	~1986
8956757	53740543	8	~1986
8956889	71655113	8	~1987
8957381	53744287	8	~1986
8957539	89575391	8	~1987
8957579	17915159	8	~1985
8957771	17915543	8	~1985
8958011	17916023	8	~1985
8958149	71665193	8	~1987
8958203	17916407	8	~1985
8958311	71666489	8	~1987
8958667	89586671	8	~1987
8958731	17917463	8	~1985
8959343	17918687	8	~1985
8959451	17918903	8	~1985
8959913	53759479	8	~1986
8959981	53759887	8	~1986
8960183	17920367	8	~1985

Exp.	Prime Factor	Digits	Year
8960261	71682089	8	~1987
8960293	53761759	8	~1986
8960387	161286967	9	~1988
8960603	17921207	8	~1985
8960603	716848241	9
8960789	71686313	8	~1987
8960977	53765863	8	~1986
8961299	17922599	8	~1985
8961301	53767807	8	~1986
8961311	17922623	8	~1985
8961383	17922767	8	~1985
8961419	71691353	8	~1987
8961661	53769967	8	~1986
8961671	17923343	8	~1985
8961707	161310727	9	~1988
8961767	806559031	9	~1989
8962139	17924279	8	~1985
8962643	17925287	8	~1985
8962931	17925863	8	~1985
8962997	125481959	9	~1987
8963351	17926703	8	~1985
8963579	17927159	8	~1985
8963677	53782063	8	~1986
8963771	17927543	8	~1985
8963797	53782783	8	~1986

Exp.	Prime Factor	Digits	Year
8964017	53784103	8	~1986
8964251	17928503	8	~1985
8964251	71714009	8
8964359	17928719	8	~1985
8964467	233076143	9	~1988
8964671	17929343	8	~1985
8964731	17929463	8	~1985
8965357	53792143	8	~1986
8965393	53792359	8	~1986
8965403	17930807	8	~1985
8965499	17930999	8	~1985
8965679	17931359	8	~1985
8965721	53794327	8	~1986
8966257	53797543	8	~1986
8966411	17932823	8	~1985
8966479	89664791	8	~1987
8966501	53799007	8	~1986
8966681	71733449	8	~1987
8966717	53800303	8	~1986
8966759	17933519	8	~1985
8966759	71734073	8
8966807	71734457	8	~1987
8966999	17933999	8	~1985
8967281	1721717953	10	~1990
8967377	53804263	8	~1986

5.247.179 digits

25-12-14