Small Mersenne Prime Factors (page 971/5340)

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
8906939	17813879	8	~1985
8906969	71255753	8	~1987
8907077	53442463	8	~1986
8907161	641315593	9	~1989
8907377	71259017	8	~1987
8907539	17815079	8	~1985
8907719	160338943	9	~1988
8907733	53446399	8	~1986
8907841	53447047	8	~1986
8907911	498843017	9	~1989
8908183	89081831	8	~1987
8908271	17816543	8	~1985
8908373	53450239	8	~1986
8908477	53450863	8	~1986
8908589	3331812287	10	~1991
8908673	53452039	8	~1986
8908703	17817407	8	~1985
8908721	53452327	8	~1986
8908937	53453623	8	~1986
8908943	213814633	9	~1988
8908987	855262753	9	~1989
8909321	71274569	8	~1987
8909903	17819807	8	~1985
8909941	53459647	8	~1986
8910179	17820359	8	~1985

Exp.	Prime Factor	Digits	Year
8910179	7555831793	10
8910199	374228359	9	~1989
8910271	142564337	9	~1987
8910481	53462887	8	~1986
8910719	17821439	8	~1985
8911379	17822759	8	~1985
8911453	53468719	8	~1986
8911607	71292857	8	~1987
8911631	17823263	8	~1985
8911781	53470687	8	~1986
8911997	53471983	8	~1986
8912053	53472319	8	~1986
8912207	71297657	8	~1987
8912219	17824439	8	~1985
8912279	17824559	8	~1985
8912399	17824799	8	~1985
8912489	124774847	9	~1987
8912537	71300297	8	~1987
8912591	17825183	8	~1985
8912741	53476447	8	~1986
8912999	17825999	8	~1985
8913119	17826239	8	~1985
8913161	53478967	8	~1986
8913187	89131871	8	~1987
8913187	13779787103	11

Exp.	Prime Factor	Digits	Year
8913403	142614449	9	~1987
8913539	17827079	8	~1985
8913563	17827127	8	~1985
8913791	17827583	8	~1985
8913901	53483407	8	~1986
8913917	53483503	8	~1986
8913923	17827847	8	~1985
8914319	17828639	8	~1985
8914331	17828663	8	~1985
8914583	17829167	8	~1985
8914799	17829599	8	~1985
8914847	71318777	8	~1987
8915177	53491063	8	~1986
8915213	53491279	8	~1986
8915411	17830823	8	~1985
8915591	17831183	8	~1985
8915999	17831999	8	~1985
8916641	53499847	8	~1986
8916779	17833559	8	~1985
8916839	17833679	8	~1985
8916911	71335289	8	~1987
8916923	17833847	8	~1985
8917679	17835359	8	~1985
8917691	17835383	8	~1985
8917697	53506183	8	~1986

Exp.	Prime Factor	Digits	Year
8917763	17835527	8	~1985
8917871	17835743	8	~1985
8917963	89179631	8	~1987
8918407	89184071	8	~1987
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
8920147	89201471	8	~1987
8920679	17841359	8	~1985
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
8922107	71376857	8	~1987
8922233	53533399	8	~1986

5.037.460 digits

25-09-07