Small Mersenne Prime Factors (page 1013/5850)

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
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
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

Exp.	Prime Factor	Digits	Year
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
9089609	72716873	8	~1987
9089651	18179303	8	~1985
9089831	18179663	8	~1985
9089903	18179807	8	~1985
9090181	54541087	8	~1987
9090377	54542263	8	~1987
9090547	163629847	9	~1988
9090551	18181103	8	~1985
9090671	18181343	8	~1985

Exp.	Prime Factor	Digits	Year
9090853	54545119	8	~1987
9091021	54546127	8	~1987
9091151	18182303	8	~1985
9091223	18182447	8	~1985
9091273	54547639	8	~1987
9091441	54548647	8	~1987
9091871	18183743	8	~1985
9091939	381861439	9	~1989
9092183	18184367	8	~1985
9092533	54555199	8	~1987
9092711	18185423	8	~1985
9093251	18186503	8	~1985
9093551	72748409	8	~1987
9093817	54562903	8	~1987
9093871	163689679	9	~1988
9093961	54563767	8	~1987
9094153	54564919	8	~1987
9094291	163697239	9	~1988
9094469	127322567	9	~1987
9094571	2473723313	10	~1991
9094849	272845471	9	~1988
9095077	54570463	8	~1987
9095279	18190559	8	~1985
9095519	18191039	8	~1985
9095657	54573943	8	~1987

Exp.	Prime Factor	Digits	Year
9095831	72766649	8	~1987
9095843	18191687	8	~1985
9096011	163728199	9	~1988
9096359	18192719	8	~1985
9097427	72779417	8	~1987
9097457	218338969	9	~1988
9097651	90976511	8	~1987
9097813	54586879	8	~1987
9097883	18195767	8	~1985
9097919	18195839	8	~1985
9097999	90979991	8	~1987
9097999	746035919	9
9098233	54589399	8	~1987
9098477	72787817	8	~1987
9098693	54592159	8	~1987
9098783	18197567	8	~1985
9098833	54592999	8	~1987
9099113	54594679	8	~1987
9099197	72793577	8	~1987
9099287	72794297	8	~1987
9099659	18199319	8	~1985
9099791	18199583	8	~1985
9099821	54598927	8	~1987
9100079	18200159	8	~1985
9100159	819014311	9	~1989

5.546.121 digits

26-05-03