Small Mersenne Prime Factors (page 512/5490)

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
3028489	66626759	8	~1984
3028577	18171463	8	~1983
3028651	30286511	8	~1983
3028871	6057743	7	~1982
3029017	18174103	8	~1983
3029023	48464369	8	~1984
3029099	96931169	8	~1985
3029141	18174847	8	~1983
3029183	78758759	8	~1984
3029309	24234473	8	~1983
3029381	24235049	8	~1983
3029381	581641153	9
3029713	48475409	8	~1984
3029771	24238169	8	~1983
3029863	199970959	9	~1985
3029981	24239849	8	~1983
3030017	42420239	8	~1984
3030143	6060287	7	~1982
3030179	6060359	7	~1982
3030197	24241577	8	~1983
3030431	6060863	7	~1982
3030473	18182839	8	~1983
3030553	90916591	8	~1984
3030719	6061439	7	~1982
3030791	24246329	8	~1983

Exp.	Prime Factor	Digits	Year
3030803	6061607	7	~1982
3030869	24246953	8	~1983
3030869	42432167	8
3031019	6062039	7	~1982
3031163	6062327	7	~1982
3031177	18187063	8	~1983
3031183	48498929	8	~1984
3031271	6062543	7	~1982
3031271	24250169	8
3031333	66689327	8	~1984
3031403	6062807	7	~1982
3031571	6063143	7	~1982
3031577	24252617	8	~1983
3031577	115199927	9
3031681	48506897	8	~1984
3031823	6063647	7	~1982
3031957	18191743	8	~1983
3032177	90965311	8	~1984
3032207	151610351	9	~1985
3032377	18194263	8	~1983
3032399	727775761	9	~1987
3032591	6065183	7	~1982
3032611	30326111	8	~1983
3032801	24262409	8	~1983
3032867	145577617	9	~1985

Exp.	Prime Factor	Digits	Year
3032963	78857039	8	~1984
3032969	479209103	9	~1986
3033053	18198319	8	~1983
3033059	6066119	7	~1982
3033101	24264809	8	~1983
3033161	24265289	8	~1983
3033281	90998431	8	~1984
3033301	66732623	8	~1984
3033341	24266729	8	~1983
3033353	169867769	9	~1985
3033403	48534449	8	~1984
3033419	6066839	7	~1982
3033697	18202183	8	~1983
3033911	6067823	7	~1982
3034033	66748727	8	~1984
3034217	72821209	8	~1984
3034253	42479543	8	~1984
3034379	24275033	8	~1983
3034489	121379561	9	~1985
3034511	6069023	7	~1982
3034523	6069047	7	~1982
3034561	91036831	8	~1984
3034711	54624799	8	~1984
3034739	72833737	8	~1984
3034769	24278153	8	~1983

Exp.	Prime Factor	Digits	Year
3035047	48560753	8	~1984
3035099	6070199	7	~1982
3035239	30352391	8	~1983
3035371	30353711	8	~1983
3035441	18212647	8	~1983
3035587	637473271	9	~1987
3035647	54641647	8	~1984
3035653	48570449	8	~1984
3035677	48570833	8	~1984
3035723	6071447	7	~1982
3035743	194287553	9	~1985
3035771	6071543	7	~1982
3035771	145717009	9
3035821	3060107569	10	~1988
3036151	30361511	8	~1983
3036193	18217159	8	~1983
3036193	72868633	8
3036287	78943463	8	~1984
3036431	6072863	7	~1982
3036497	18218983	8	~1983
3036571	48585137	8	~1984
3036613	18219679	8	~1983
3036731	24293849	8	~1983
3036871	30368711	8	~1983
3036983	6073967	7	~1982

5.187.277 digits

25-11-17