Small Mersenne Prime Factors (page 988/5610)

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
8914799	17829599	8	~1985
8914847	71318777	8	~1987
8915177	53491063	8	~1986
8915213	53491279	8	~1986
8915411	17830823	8	~1985
8915591	17831183	8	~1985
8915597	71324777	8	~1987
8915999	17831999	8	~1985
8916569	71332553	8	~1987
8916641	53499847	8	~1986
8916779	17833559	8	~1985
8916779	71334233	8
8916839	17833679	8	~1985
8916911	71335289	8	~1987
8916923	17833847	8	~1985
8917679	17835359	8	~1985
8917691	17835383	8	~1985
8917697	53506183	8	~1986
8917763	17835527	8	~1985
8917841	71342729	8	~1987
8917871	17835743	8	~1985
8917949	71343593	8	~1987
8917963	89179631	8	~1987
8917991	71343929	8	~1987
8918407	89184071	8	~1987

Exp.	Prime Factor	Digits	Year
8918639	17837279	8	~1985
8918891	17837783	8	~1985
8918891	231891167	9
8918929	214054297	9	~1988
8919191	17838383	8	~1985
8919277	53515663	8	~1986
8919299	17838599	8	~1985
8919539	17839079	8	~1985
8919899	17839799	8	~1985
8919959	3282544913	10	~1991
8920031	71360249	8	~1987
8920147	89201471	8	~1987
8920679	17841359	8	~1985
8920721	71365769	8	~1987
8921123	17842247	8	~1985
8921207	214108969	9	~1988
8921249	71369993	8	~1987
8921441	53528647	8	~1986
8921663	17843327	8	~1985
8921761	53530567	8	~1986
8921771	17843543	8	~1985
8922041	71376329	8	~1987
8922107	71376857	8	~1987
8922233	53533399	8	~1986
8922257	71378057	8	~1987

Exp.	Prime Factor	Digits	Year
8922313	142757009	9	~1987
8922359	71378873	8	~1987
8922377	71379017	8	~1987
8922443	17844887	8	~1985
8922449	124914287	9	~1987
8922577	142761233	9	~1987
8922601	53535607	8	~1986
8922659	17845319	8	~1985
8922869	124920167	9	~1987
8923049	71384393	8	~1987
8923073	53538439	8	~1986
8923267	160618807	9	~1988
8923357	53540143	8	~1986
8923639	89236391	8	~1987
8923807	214171369	9	~1988
8923961	1624160903	10	~1990
8923991	17847983	8	~1985
8924011	89240111	8	~1987
8924089	6407495903	10	~1992
8924309	285577889	9	~1988
8924387	71395097	8	~1987
8924411	17848823	8	~1985
8924579	17849159	8	~1985
8924701	53548207	8	~1986
8925047	71400377	8	~1987

Exp.	Prime Factor	Digits	Year
8925131	17850263	8	~1985
8925181	53551087	8	~1986
8925419	17850839	8	~1985
8925557	214213369	9	~1988
8925599	17851199	8	~1985
8925797	53554783	8	~1986
8925803	17851607	8	~1985
8925809	428438833	9	~1989
8925887	71407097	8	~1987
8925977	53555863	8	~1986
8926061	71408489	8	~1987
8926331	17852663	8	~1985
8926517	71412137	8	~1987
8927341	53564047	8	~1986
8927357	71418857	8	~1987
8927441	53564647	8	~1986
8927489	267824671	9	~1988
8927813	53566879	8	~1986
8927833	53566999	8	~1986
8928131	17856263	8	~1985
8928173	53569039	8	~1986
8928191	17856383	8	~1985
8928371	17856743	8	~1985
8928749	71429993	8	~1987
8928851	17857703	8	~1985

5.307.017 digits

26-01-11