Small Mersenne Prime Factors (page 901/6105)

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
7280183	14560367	8	~1985
7280549	58244393	8	~1986
7280579	14561159	8	~1985
7280731	131053159	9	~1987
7280737	43684423	8	~1986
7280831	14561663	8	~1985
7280951	14561903	8	~1985
7281077	43686463	8	~1986
7281203	14562407	8	~1985
7281247	72812471	8	~1986
7281277	43687663	8	~1986
7281403	815517137	9	~1989
7281943	72819431	8	~1986
7282217	43693303	8	~1986
7282621	43695727	8	~1986
7282679	14565359	8	~1985
7282739	14565479	8	~1985
7282811	14565623	8	~1985
7282811	58262489	8
7282981	43697887	8	~1986
7283173	43699039	8	~1986
7283351	14566703	8	~1985
7283401	43700407	8	~1986
7283411	14566823	8	~1985
7283411	58267289	8

Exp.	Prime Factor	Digits	Year
7283417	101967839	9	~1987
7283657	43701943	8	~1986
7283741	58269929	8	~1986
7283777	58270217	8	~1986
7283833	43702999	8	~1986
7283891	14567783	8	~1985
7283999	14567999	8	~1985
7284131	14568263	8	~1985
7284197	43705183	8	~1986
7284443	14568887	8	~1985
7284493	43706959	8	~1986
7284749	174833977	9	~1987
7284971	14569943	8	~1985
7285049	101990687	9	~1987
7285081	43710487	8	~1986
7285219	131133943	9	~1987
7285391	4210955999	10	~1991
7285879	131145823	9	~1987
7285919	58287353	8	~1986
7286099	14572199	8	~1985
7286137	291445481	9	~1988
7286311	116580977	9	~1987
7286687	58293497	8	~1986
7286803	72868031	8	~1986
7287097	43722583	8	~1986

Exp.	Prime Factor	Digits	Year
7287359	14574719	8	~1985
7287437	43724623	8	~1986
7287571	72875711	8	~1986
7287851	131181319	9	~1987
7287911	14575823	8	~1985
7288103	14576207	8	~1985
7288159	72881591	8	~1986
7288163	174915913	9	~1987
7288181	43729087	8	~1986
7288273	43729639	8	~1986
7288399	72883991	8	~1986
7288691	14577383	8	~1985
7288763	14577527	8	~1985
7288843	116621489	9	~1987
7289099	14578199	8	~1985
7289279	14578559	8	~1985
7289339	14578679	8	~1985
7289363	14578727	8	~1985
7289519	14579039	8	~1985
7289599	1530815791	10	~1990
7289669	58317353	8	~1986
7290191	14580383	8	~1985
7290359	14580719	8	~1985
7290541	43743247	8	~1986
7290557	58324457	8	~1986

Exp.	Prime Factor	Digits	Year
7290863	14581727	8	~1985
7290971	58327769	8	~1986
7291121	58328969	8	~1986
7291607	131248927	9	~1987
7291819	72918191	8	~1986
7291831	306256903	9	~1988
7292063	14584127	8	~1985
7292083	72920831	8	~1986
7292237	1152173447	10	~1989
7292381	43754287	8	~1986
7292381	58339049	8
7292401	160432823	9	~1987
7292501	43755007	8	~1986
7292693	102097703	9	~1987
7292707	247952039	9	~1988
7292819	14585639	8	~1985
7292821	43756927	8	~1986
7292851	131271319	9	~1987
7293371	14586743	8	~1985
7293431	14586863	8	~1985
7293487	72934871	8	~1986
7293497	58347977	8	~1986
7293497	102108959	9
7293719	14587439	8	~1985
7293899	14587799	8	~1985

5.800.574 digits

26-08-30