Small Mersenne Prime Factors (page 861/5430)

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
7170671	14341343	8	~1985
7170731	14341463	8	~1985
7170851	14341703	8	~1985
7170887	57367097	8	~1986
7170901	43025407	8	~1986
7170983	14341967	8	~1985
7171181	43027087	8	~1986
7171181	57369449	8
7171259	14342519	8	~1985
7171751	14343503	8	~1985
7171937	43031623	8	~1986
7172219	14344439	8	~1985
7172219	358610951	9
7172467	114759473	9	~1987
7172567	57380537	8	~1986
7172591	14345183	8	~1985
7172723	14345447	8	~1985
7172881	43037287	8	~1986
7173017	57384137	8	~1986
7173137	43038823	8	~1986
7173191	14346383	8	~1985
7173239	229543649	9	~1987
7173863	14347727	8	~1985
7173899	14347799	8	~1985
7173913	157826087	9	~1987

Exp.	Prime Factor	Digits	Year
7173977	100435679	9	~1987
7174093	43044559	8	~1986
7174313	100440383	9	~1987
7174439	14348879	8	~1985
7174703	14349407	8	~1985
7174889	57399113	8	~1986
7175039	14350079	8	~1985
7175159	14350319	8	~1985
7175303	14350607	8	~1985
7175317	43051903	8	~1986
7175417	57403337	8	~1986
7175437	43052623	8	~1986
7175561	57404489	8	~1986
7175783	14351567	8	~1985
7175957	43055743	8	~1986
7176419	14352839	8	~1985
7176461	57411689	8	~1986
7176479	14352959	8	~1985
7176551	14353103	8	~1985
7176773	43060639	8	~1986
7176823	71768231	8	~1986
7177217	43063303	8	~1986
7177343	14354687	8	~1985
7177367	57418937	8	~1986
7177427	186613103	9	~1987

Exp.	Prime Factor	Digits	Year
7177613	43065679	8	~1986
7177697	57421577	8	~1986
7177739	14355479	8	~1985
7177811	14355623	8	~1985
7178057	43068343	8	~1986
7178141	43068847	8	~1986
7178159	14356319	8	~1985
7178159	358907951	9
7178401	43070407	8	~1986
7178411	57427289	8	~1986
7178459	14356919	8	~1985
7178477	57427817	8	~1986
7179071	14358143	8	~1985
7179239	57433913	8	~1986
7179377	57435017	8	~1986
7179461	43076767	8	~1986
7179493	43076959	8	~1986
7179803	14359607	8	~1985
7179911	14359823	8	~1985
7179937	43079623	8	~1986
7179971	57439769	8	~1986
7179983	14359967	8	~1985
7180091	14360183	8	~1985
7180259	14360519	8	~1985
7180319	14360639	8	~1985

Exp.	Prime Factor	Digits	Year
7180543	114888689	9	~1987
7180741	157976303	9	~1987
7181039	14362079	8	~1985
7181063	359053151	9	~1988
7181099	14362199	8	~1985
7181171	14362343	8	~1985
7181203	71812031	8	~1986
7181309	57450473	8	~1986
7181423	14362847	8	~1985
7181423	359071151	9
7181621	43089727	8	~1986
7181851	114909617	9	~1987
7181963	14363927	8	~1985
7182139	129278503	9	~1987
7182433	43094599	8	~1986
7182683	14365367	8	~1985
7182743	14365487	8	~1985
7182809	57462473	8	~1986
7182863	14365727	8	~1985
7182971	14365943	8	~1985
7183139	14366279	8	~1985
7183531	71835311	8	~1986
7183717	560329927	9	~1988
7183987	172415689	9	~1987
7184063	14368127	8	~1985

5.127.372 digits

25-10-20