Small Mersenne Prime Factors (page 976/4665)

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
9897541	217745903	9	~1988
9897581	79180649	8	~1987
9897599	19795199	8	~1986
9897919	98979191	8	~1987
9898151	316740833	9	~1989
9898157	59388943	8	~1987
9898237	59389423	8	~1987
9898319	19796639	8	~1986
9898859	79190873	8	~1987
9898979	19797959	8	~1986
9899663	19799327	8	~1986
9899891	19799783	8	~1986
9900119	19800239	8	~1986
9900139	178202503	9	~1988
9900467	1920690599	10	~1990
9901211	19802423	8	~1986
9901253	138617543	9	~1988
9901379	19802759	8	~1986
9901393	59408359	8	~1987
9901601	59409607	8	~1987
9901823	19803647	8	~1986
9901883	19803767	8	~1986
9902411	19804823	8	~1986
9902699	19805399	8	~1986
9902881	59417287	8	~1987

Exponent	Prime Factor	Digits	Year
9903059	19806119	8	~1986
9903191	19806383	8	~1986
9903247	99032471	8	~1987
9903251	19806503	8	~1986
9903671	19807343	8	~1986
9903931	178270759	9	~1988
9903977	59423863	8	~1987
9904019	178272343	9	~1988
9904343	19808687	8	~1986
9904381	297131431	9	~1988
9904403	19808807	8	~1986
9904679	19809359	8	~1986
9905123	19810247	8	~1986
9905183	19810367	8	~1986
9905411	19810823	8	~1986
9905459	19810919	8	~1986
9905563	416033647	9	~1989
9906779	19813559	8	~1986
9906983	19813967	8	~1986
9907021	158512337	9	~1988
9908303	19816607	8	~1986
9908621	59451727	8	~1987
9908713	59452279	8	~1987
9908897	79271177	8	~1987
9909071	19818143	8	~1986

Exponent	Prime Factor	Digits	Year
9909509	79276073	8	~1987
9910073	59460439	8	~1987
9910193	59461159	8	~1987
9910223	19820447	8	~1986
9910319	19820639	8	~1986
9910811	19821623	8	~1986
9911257	59467543	8	~1987
9911339	19822679	8	~1986
9911701	59470207	8	~1987
9911753	555058169	9	~1989
9911773	59470639	8	~1987
9911963	19823927	8	~1986
9912251	19824503	8	~1986
9912491	19824983	8	~1986
9912599	19825199	8	~1986
9912659	19825319	8	~1986
9912671	19825343	8	~1986
9912689	79301513	8	~1987
9912719	19825439	8	~1986
9913217	555140153	9	~1989
9913283	19826567	8	~1986
9913439	416364439	9	~1989
9913511	19827023	8	~1986
9913523	19827047	8	~1986
9913753	59482519	8	~1987

Exponent	Prime Factor	Digits	Year
9913919	19827839	8	~1986
9913979	19827959	8	~1986
9914287	99142871	8	~1987
9914309	138800327	9	~1988
9914351	19828703	8	~1986
9914363	19828727	8	~1986
9914521	218119463	9	~1988
9914819	19829639	8	~1986
9915203	19830407	8	~1986
9915299	19830599	8	~1986
9915299	79322393	8
9915427	158646833	9	~1988
9915791	19831583	8	~1986
9915791	79326329	8
9915821	317306273	9	~1989
9916003	416472127	9	~1989
9916031	19832063	8	~1986
9916163	19832327	8	~1986
9916561	158664977	9	~1988
9916583	19833167	8	~1986
9916649	79333193	8	~1987
9917051	19834103	8	~1986
9917279	19834559	8	~1986
9917309	1190077081	10	~1990
9918059	19836119	8	~1986

4.368.158 digits

24-10-27