Small Mersenne Prime Factors (page 770/5205)

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
6078599	12157199	8	~1984
6078641	36471847	8	~1985
6078659	12157319	8	~1984
6078733	243149321	9	~1987
6078797	36472783	8	~1985
6078881	36473287	8	~1985
6078899	12157799	8	~1984
6079043	12158087	8	~1984
6079141	36474847	8	~1985
6079237	36475423	8	~1985
6079481	36476887	8	~1985
6079499	12158999	8	~1984
6079553	36477319	8	~1985
6079651	60796511	8	~1986
6079663	97274609	8	~1986
6079823	12159647	8	~1984
6080021	36480127	8	~1985
6080051	12160103	8	~1984
6080153	36480919	8	~1985
6080521	243220841	9	~1987
6080561	36483367	8	~1985
6080561	48644489	8
6080623	60806231	8	~1986
6080831	12161663	8	~1984
6080933	85133063	8	~1986

Exp.	Prime Factor	Digits	Year
6080939	12161879	8	~1984
6081199	60811991	8	~1986
6081203	12162407	8	~1984
6081371	12162743	8	~1984
6081473	85140623	8	~1986
6081617	36489703	8	~1985
6082003	60820031	8	~1986
6082057	36492343	8	~1985
6082079	48656633	8	~1985
6082177	717696887	9	~1988
6082211	12164423	8	~1984
6082259	12164519	8	~1984
6082283	12164567	8	~1984
6082561	36495367	8	~1985
6082631	340627337	9	~1988
6082691	12165383	8	~1984
6083219	12166439	8	~1984
6083221	36499327	8	~1985
6083303	12166607	8	~1984
6083383	401503279	9	~1988
6083531	12167063	8	~1984
6083897	48671177	8	~1985
6083899	146013577	9	~1987
6083927	48671417	8	~1985
6083963	12167927	8	~1984

Exp.	Prime Factor	Digits	Year
6084179	48673433	8	~1985
6084209	85178927	8	~1986
6084367	97349873	8	~1986
6084499	60844991	8	~1986
6084641	48677129	8	~1985
6084643	206877863	9	~1987
6084671	12169343	8	~1984
6084893	36509359	8	~1985
6085151	12170303	8	~1984
6085153	36510919	8	~1985
6085357	36512143	8	~1985
6085897	36515383	8	~1985
6086057	36516343	8	~1985
6086243	12172487	8	~1984
6086471	12172943	8	~1984
6086497	36518983	8	~1985
6086503	60865031	8	~1986
6086543	12173087	8	~1984
6086623	255638167	9	~1987
6086747	48693977	8	~1985
6086903	12173807	8	~1984
6087401	36524407	8	~1985
6087451	60874511	8	~1986
6087973	36527839	8	~1985
6088087	60880871	8	~1986

Exp.	Prime Factor	Digits	Year
6088099	109585783	9	~1986
6088343	12176687	8	~1984
6088457	36530743	8	~1985
6088457	48707657	8
6088561	36531367	8	~1985
6088739	12177479	8	~1984
6088847	48710777	8	~1985
6088937	85245119	8	~1986
6088937	340980473	9
6089243	146141833	9	~1987
6089351	12178703	8	~1984
6089471	158326247	9	~1987
6089539	1120475177	10	~1989
6089543	12179087	8	~1984
6089591	12179183	8	~1984
6089597	36537583	8	~1985
6089651	12179303	8	~1984
6090121	243604841	9	~1987
6090137	48721097	8	~1985
6090173	36541039	8	~1985
6090251	12180503	8	~1984
6090299	12180599	8	~1984
6090373	97445969	8	~1986
6090671	12181343	8	~1984
6090739	60907391	8	~1986

4.903.097 digits

25-07-08