Small Mersenne Prime Factors (page 844/4305)

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
8028809	192691417	9	~1988
8028827	449614313	9	~1988
8028899	16057799	8	~1985
8029211	16058423	8	~1985
8029631	64237049	8	~1986
8029739	16059479	8	~1985
8029811	144536599	9	~1987
8029823	16059647	8	~1985
8029877	112418279	9	~1987
8030227	128483633	9	~1987
8030623	80306231	8	~1987
8030761	48184567	8	~1986
8031097	48186583	8	~1986
8031431	16062863	8	~1985
8031437	64251497	8	~1986
8031581	48189487	8	~1986
8031581	64252649	8
8031587	64252697	8	~1986
8031641	48189847	8	~1986
8031773	112444823	9	~1987
8031787	80317871	8	~1987
8031833	48190999	8	~1986
8032001	48192007	8	~1986
8032691	144588439	9	~1987
8032967	64263737	8	~1986

Exp.	Prime Factor	Digits	Year
8033021	48198127	8	~1986
8033243	16066487	8	~1985
8033471	16066943	8	~1985
8033591	530217007	9	~1989
8033951	16067903	8	~1985
8034113	819479527	9	~1989
8034263	16068527	8	~1985
8034373	48206239	8	~1986
8034671	16069343	8	~1985
8034781	48208687	8	~1986
8034821	64278569	8	~1986
8034839	16069679	8	~1985
8035129	385686193	9	~1988
8035337	64282697	8	~1986
8035733	48214399	8	~1986
8035799	16071599	8	~1985
8036279	16072559	8	~1985
8036531	16073063	8	~1985
8036711	16073423	8	~1985
8036939	16073879	8	~1985
8037187	144669367	9	~1987
8037269	64298153	8	~1986
8038343	29388182009	11	~1993
8038451	16076903	8	~1985
8038571	16077143	8	~1985

Exp.	Prime Factor	Digits	Year
8038631	16077263	8	~1985
8038697	64309577	8	~1986
8039501	64316009	8	~1986
8039939	16079879	8	~1985
8040029	64320233	8	~1986
8040089	192962137	9	~1988
8040491	16080983	8	~1985
8040671	144732079	9	~1987
8040757	48244543	8	~1986
8040839	16081679	8	~1985
8041333	771967969	9	~1989
8041499	16082999	8	~1985
8041571	16083143	8	~1985
8041577	48249463	8	~1986
8041717	48250303	8	~1986
8042093	48252559	8	~1986
8042701	48256207	8	~1986
8042711	16085423	8	~1985
8042897	48257383	8	~1986
8043187	128690993	9	~1987
8043401	64347209	8	~1986
8043611	16087223	8	~1985
8043683	16087367	8	~1985
8043877	48263263	8	~1986
8043923	16087847	8	~1985

Exp.	Prime Factor	Digits	Year
8043929	64351433	8	~1986
8044061	48264367	8	~1986
8044061	64352489	8
8044079	16088159	8	~1985
8044103	16088207	8	~1985
8044259	16088519	8	~1985
8044331	16088663	8	~1985
8044559	16089119	8	~1985
8044703	16089407	8	~1985
8044877	64359017	8	~1986
8044931	16089863	8	~1985
8045153	48270919	8	~1986
8045183	16090367	8	~1985
8045381	305724479	9	~1988
8045509	193092217	9	~1988
8045657	48273943	8	~1986
8045701	128731217	9	~1987
8045857	128733713	9	~1987
8046013	48276079	8	~1986
8046023	8898901439	10	~1992
8046161	64369289	8	~1986
8046299	16092599	8	~1985
8046497	48278983	8	~1986
8047261	48283567	8	~1986
8047399	515033537	9	~1989

4.012.381 digits

24-05-13