Small Mersenne Prime Factors (page 540/5445)

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
3315271	33152711	8	~1984
3315337	53045393	8	~1984
3315421	53046737	8	~1984
3315461	19892767	8	~1983
3315491	6630983	7	~1982
3315679	139258519	9	~1985
3315929	26527433	8	~1983
3316153	72955367	8	~1984
3316259	6632519	7	~1982
3316267	33162671	8	~1984
3316267	79590409	8
3316283	86223359	8	~1985
3316337	26530697	8	~1983
3316361	19898167	8	~1983
3316403	6632807	7	~1982
3316559	6633119	7	~1982
3316589	338292079	9	~1986
3316619	26532953	8	~1983
3316723	33167231	8	~1984
3316823	6633647	7	~1982
3316967	59705407	8	~1984
3317233	19903399	8	~1983
3317239	132689561	9	~1985
3317291	6634583	7	~1982
3317291	26538329	8

Exp.	Prime Factor	Digits	Year
3317507	26540057	8	~1983
3317663	6635327	7	~1982
3317807	185797193	9	~1985
3318011	6636023	7	~1982
3318109	79634617	8	~1985
3318239	6636479	7	~1982
3318239	79637737	8
3318377	19910263	8	~1983
3318431	6636863	7	~1982
3318719	6637439	7	~1982
3318793	471268607	9	~1986
3318929	79654297	8	~1985
3319067	59743207	8	~1984
3319157	26553257	8	~1983
3319619	59753143	8	~1984
3319621	239012713	9	~1986
3319703	6639407	7	~1982
3319763	6639527	7	~1982
3319781	19918687	8	~1983
3319807	33198071	8	~1984
3319919	6639839	7	~1982
3319931	6639863	7	~1982
3320189	46482647	8	~1984
3320197	19921183	8	~1983
3320201	26561609	8	~1983

Exp.	Prime Factor	Digits	Year
3320311	398437321	9	~1986
3320341	19922047	8	~1983
3320357	19922143	8	~1983
3320519	6641039	7	~1982
3320591	6641183	7	~1982
3320623	33206231	8	~1984
3320699	6641399	7	~1982
3320753	185962169	9	~1985
3320827	33208271	8	~1984
3320909	46492727	8	~1984
3321089	26568713	8	~1983
3321179	106277729	9	~1985
3321233	19927399	8	~1983
3321403	272355047	9	~1986
3321497	19928983	8	~1983
3321517	19929103	8	~1983
3321761	19930567	8	~1983
3321761	26574089	8
3321911	6643823	7	~1982
3321917	26575337	8	~1983
3321937	19931623	8	~1983
3322013	19932079	8	~1983
3322043	6644087	7	~1982
3322129	79731097	8	~1985
3322273	73090007	8	~1984

Exp.	Prime Factor	Digits	Year
3322337	26578697	8	~1983
3322337	99670111	8
3322439	6644879	7	~1982
3322513	19935079	8	~1983
3322513	53160209	8
3322523	6645047	7	~1982
3322721	19936327	8	~1983
3322721	26581769	8
3322877	19937263	8	~1983
3322889	26583113	8	~1983
3322889	259185343	9
3322897	19937383	8	~1983
3322931	26583449	8	~1983
3323093	19938559	8	~1983
3323191	53171057	8	~1984
3323833	53181329	8	~1984
3324143	6648287	7	~1982
3324179	26593433	8	~1983
3324203	6648407	7	~1982
3324311	6648623	7	~1982
3324311	159566929	9
3324323	6648647	7	~1982
3324323	245999903	9
3324551	6649103	7	~1982
3324599	6649199	7	~1982

5.142.307 digits

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