Small Mersenne Prime Factors (page 868/5490)

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
7222661	1487868167	10	~1989
7222811	231129953	9	~1988
7222991	14445983	8	~1985
7223033	43338199	8	~1986
7223039	14446079	8	~1985
7223053	43338319	8	~1986
7223123	14446247	8	~1985
7223519	14447039	8	~1985
7223683	72236831	8	~1986
7223981	57791849	8	~1986
7223999	173375977	9	~1987
7224029	57792233	8	~1986
7224131	361206551	9	~1988
7224211	72242111	8	~1986
7224341	43346047	8	~1986
7224359	14448719	8	~1985
7224517	43347103	8	~1986
7224551	14449103	8	~1985
7225019	14450039	8	~1985
7225271	14450543	8	~1985
7225441	115607057	9	~1987
7225531	115608497	9	~1987
7225811	14451623	8	~1985
7225931	14451863	8	~1985
7226111	14452223	8	~1985

Exp.	Prime Factor	Digits	Year
7226183	14452367	8	~1985
7226333	43357999	8	~1986
7226369	57810953	8	~1986
7226641	43359847	8	~1986
7226909	1951265431	10	~1990
7227013	43362079	8	~1986
7228093	159018047	9	~1987
7228211	14456423	8	~1985
7228631	14457263	8	~1985
7228691	14457383	8	~1985
7228703	14457407	8	~1985
7228811	57830489	8	~1986
7228913	43373479	8	~1986
7228943	14457887	8	~1985
7228979	14457959	8	~1985
7228981	43373887	8	~1986
7229011	72290111	8	~1986
7229219	14458439	8	~1985
7229581	43377487	8	~1986
7229857	43379143	8	~1986
7229951	14459903	8	~1985
7230071	14460143	8	~1985
7230131	14460263	8	~1985
7230277	7794238607	10	~1991
7230479	57843833	8	~1986

Exp.	Prime Factor	Digits	Year
7230481	43382887	8	~1986
7230563	14461127	8	~1985
7230611	231379553	9	~1988
7230653	43383919	8	~1986
7230851	14461703	8	~1985
7230851	57846809	8
7230857	43385143	8	~1986
7230857	57846857	8
7230911	14461823	8	~1985
7230911	57847289	8
7230943	72309431	8	~1986
7231319	14462639	8	~1985
7231403	14462807	8	~1985
7231747	72317471	8	~1986
7231781	43390687	8	~1986
7231793	43390759	8	~1986
7231871	188028647	9	~1987
7232111	14464223	8	~1985
7232549	57860393	8	~1986
7232627	57861017	8	~1986
7232761	159120743	9	~1987
7232917	289316681	9	~1988
7233071	14466143	8	~1985
7233263	14466527	8	~1985
7233593	43401559	8	~1986

Exp.	Prime Factor	Digits	Year
7233637	347214577	9	~1988
7233727	115739633	9	~1987
7233899	57871193	8	~1986
7234091	14468183	8	~1985
7234091	57872729	8
7234321	159155063	9	~1987
7234361	57874889	8	~1986
7234433	43406599	8	~1986
7234679	14469359	8	~1985
7234897	115758353	9	~1987
7235071	72350711	8	~1986
7235279	14470559	8	~1985
7235339	14470679	8	~1985
7235537	57884297	8	~1986
7235771	14471543	8	~1985
7235807	57886457	8	~1986
7235939	57887513	8	~1986
7235951	14471903	8	~1985
7235959	72359591	8	~1986
7236197	57889577	8	~1986
7236371	57890969	8	~1986
7236431	14472863	8	~1985
7236683	14473367	8	~1985
7236727	72367271	8	~1986
7237091	14474183	8	~1985

5.187.277 digits

25-11-17