Small Mersenne Prime Factors (page 724/5205)

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
5481431	10962863	8	~1984
5481491	10962983	8	~1984
5481677	43853417	8	~1985
5481811	54818111	8	~1985
5481989	43855913	8	~1985
5482019	10964039	8	~1984
5482097	43856777	8	~1985
5482331	10964663	8	~1984
5482493	32894959	8	~1985
5482781	43862249	8	~1985
5482853	131588473	9	~1986
5482979	10965959	8	~1984
5483227	318027167	9	~1987
5483293	32899759	8	~1985
5483339	10966679	8	~1984
5483399	10966799	8	~1984
5483531	10967063	8	~1984
5483587	54835871	8	~1985
5483671	54836711	8	~1985
5483759	10967519	8	~1984
5483909	43871273	8	~1985
5483977	32903863	8	~1985
5484203	10968407	8	~1984
5484299	10968599	8	~1984
5484487	54844871	8	~1985

Exp.	Prime Factor	Digits	Year
5484887	43879097	8	~1985
5484911	10969823	8	~1984
5484953	131638873	9	~1986
5485163	10970327	8	~1984
5485177	87762833	8	~1986
5485217	76793039	8	~1986
5485603	54856031	8	~1985
5485637	43885097	8	~1985
5485691	10971383	8	~1984
5485691	98742439	8
5485741	32914447	8	~1985
5485757	32914543	8	~1985
5485919	10971839	8	~1984
5486303	10972607	8	~1984
5486339	43890713	8	~1985
5486519	43892153	8	~1985
5486681	43893449	8	~1985
5486879	10973759	8	~1984
5487401	43899209	8	~1985
5487463	186573743	9	~1987
5487791	10975583	8	~1984
5487929	164637871	9	~1986
5487959	10975919	8	~1984
5488031	43904249	8	~1985
5488409	76837727	8	~1986

Exp.	Prime Factor	Digits	Year
5488709	43909673	8	~1985
5488783	54887831	8	~1985
5488787	43910297	8	~1985
5488921	120756263	9	~1986
5488997	32933983	8	~1985
5489171	10978343	8	~1984
5489339	10978679	8	~1984
5489411	10978823	8	~1984
5489557	32937343	8	~1985
5489597	43916777	8	~1985
5489723	10979447	8	~1984
5489843	10979687	8	~1984
5490011	43920089	8	~1985
5490013	32940079	8	~1985
5490151	219606041	9	~1987
5490301	87844817	8	~1986
5490413	32942479	8	~1985
5490553	32943319	8	~1985
5491141	32946847	8	~1985
5491303	54913031	8	~1985
5491313	32947879	8	~1985
5491373	32948239	8	~1985
5491511	10983023	8	~1984
5491523	10983047	8	~1984
5491847	98853247	8	~1986

Exp.	Prime Factor	Digits	Year
5492117	4525504409	10	~1990
5492141	32952847	8	~1985
5492219	10984439	8	~1984
5492477	43939817	8	~1985
5492563	54925631	8	~1985
5492779	54927791	8	~1985
5492783	10985567	8	~1984
5492953	32957719	8	~1985
5493203	10986407	8	~1984
5493211	98877799	8	~1986
5493493	219739721	9	~1987
5493539	10987079	8	~1984
5493559	54935591	8	~1985
5493811	54938111	8	~1985
5493811	714195431	9
5493857	32963143	8	~1985
5493863	10987727	8	~1984
5494109	43952873	8	~1985
5494183	1549359607	10	~1989
5494277	43954217	8	~1985
5494787	43958297	8	~1985
5495053	32970319	8	~1985
5495159	10990319	8	~1984
5495173	32971039	8	~1985
5495509	1055137729	10	~1988

4.903.097 digits

25-07-08