Small Mersenne Prime Factors (page 1023/6045)

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
9073919	18147839	8	~1985
9074003	18148007	8	~1985
9074363	18148727	8	~1985
9074519	18149039	8	~1985
9074603	18149207	8	~1985
9074771	18149543	8	~1985
9074789	127047047	9	~1987
9074789	7695421073	10
9075191	18150383	8	~1985
9075461	54452767	8	~1987
9075551	72604409	8	~1987
9075571	90755711	8	~1987
9075761	54454567	8	~1987
9075779	381182719	9	~1989
9075809	127061327	9	~1987
9075851	18151703	8	~1985
9075973	54455839	8	~1987
9075991	145215857	9	~1988
9076337	72610697	8	~1987
9076643	18153287	8	~1985
9076801	54460807	8	~1987
9076811	72614489	8	~1987
9076967	72615737	8	~1987
9077219	18154439	8	~1985
9077399	72619193	8	~1987

Exp.	Prime Factor	Digits	Year
9077423	18154847	8	~1985
9077501	54465007	8	~1987
9077531	18155063	8	~1985
9077759	18155519	8	~1985
9077891	18155783	8	~1985
9077963	18155927	8	~1985
9078233	54469399	8	~1987
9078539	18157079	8	~1985
9078539	72628313	8
9078683	18157367	8	~1985
9078761	54472567	8	~1987
9078781	54472687	8	~1987
9078851	18157703	8	~1985
9079223	18158447	8	~1985
9079331	72634649	8	~1987
9079571	18159143	8	~1985
9079627	435822097	9	~1989
9079979	18159959	8	~1985
9079997	72639977	8	~1987
9080231	18160463	8	~1985
9080573	54483439	8	~1987
9080657	72645257	8	~1987
9080663	18161327	8	~1985
9081599	18163199	8	~1985
9081707	72653657	8	~1987

Exp.	Prime Factor	Digits	Year
9081881	54491287	8	~1987
9081967	90819671	8	~1987
9082547	72660377	8	~1987
9082571	18165143	8	~1985
9082823	18165647	8	~1985
9082831	526804199	9	~1989
9082859	72662873	8	~1987
9082901	54497407	8	~1987
9083471	18166943	8	~1985
9083663	18167327	8	~1985
9083779	1671415337	10	~1990
9083813	54502879	8	~1987
9083891	18167783	8	~1985
9084133	54504799	8	~1987
9084373	54506239	8	~1987
9084469	635912831	9	~1989
9084473	290703137	9	~1988
9084697	218032729	9	~1988
9084863	18169727	8	~1985
9084991	1526278489	10	~1990
9085247	72681977	8	~1987
9085337	72682697	8	~1987
9085717	54514303	8	~1987
9086401	145382417	9	~1988
9086411	18172823	8	~1985

Exp.	Prime Factor	Digits	Year
9086437	54518623	8	~1987
9086639	18173279	8	~1985
9086783	18173567	8	~1985
9086879	18173759	8	~1985
9086879	72695033	8
9087257	54523543	8	~1987
9087359	18174719	8	~1985
9087581	54525487	8	~1987
9087797	54526783	8	~1987
9087839	18175679	8	~1985
9088097	345347687	9	~1988
9088153	54528919	8	~1987
9088379	18176759	8	~1985
9088481	54530887	8	~1987
9088559	18177119	8	~1985
9088561	363542441	9	~1989
9088619	18177239	8	~1985
9088679	18177359	8	~1985
9089021	72712169	8	~1987
9089077	145425233	9	~1988
9089123	18178247	8	~1985
9089141	54534847	8	~1987
9089159	18178319	8	~1985
9089177	127248479	9	~1987
9089219	18178439	8	~1985

5.740.663 digits

26-08-02