Small Mersenne Prime Factors (page 893/5790)

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
7372243	73722431	8	~1986
7372283	14744567	8	~1985
7372633	44235799	8	~1986
7372837	44237023	8	~1986
7373077	44238463	8	~1986
7373123	368656151	9	~1988
7373543	14747087	8	~1985
7373603	14747207	8	~1985
7373621	44241727	8	~1986
7373789	58990313	8	~1986
7373887	353946577	9	~1988
7374293	44245759	8	~1986
7374403	73744031	8	~1986
7374677	44248063	8	~1986
7374863	309744247	9	~1988
7374929	58999433	8	~1986
7375013	44250079	8	~1986
7375393	44252359	8	~1986
7375429	5531571751	10	~1991
7375813	2655292681	10	~1990
7375871	14751743	8	~1985
7376051	14752103	8	~1985
7376207	2257119343	10	~1990
7376339	14752679	8	~1985
7376423	14752847	8	~1985

Exp.	Prime Factor	Digits	Year
7376651	59013209	8	~1986
7376879	14753759	8	~1985
7377053	44262319	8	~1986
7377119	14754239	8	~1985
7377131	14754263	8	~1985
7377233	177053593	9	~1987
7377361	221320831	9	~1988
7377661	44265967	8	~1986
7377739	73777391	8	~1986
7377751	73777511	8	~1986
7377791	14755583	8	~1985
7378081	118049297	9	~1987
7378291	118052657	9	~1987
7378379	14756759	8	~1985
7378421	59027369	8	~1986
7378691	14757383	8	~1985
7378979	14757959	8	~1985
7378997	59031977	8	~1986
7379063	14758127	8	~1985
7379171	14758343	8	~1985
7379213	44275279	8	~1986
7379441	44276647	8	~1986
7379501	590360081	9	~1989
7379591	59036729	8	~1986
7379839	73798391	8	~1986

Exp.	Prime Factor	Digits	Year
7379851	73798511	8	~1986
7379861	44279167	8	~1986
7379951	59039609	8	~1986
7380161	44280967	8	~1986
7380187	295207481	9	~1988
7380223	73802231	8	~1986
7380283	118084529	9	~1987
7380419	14760839	8	~1985
7380599	14761199	8	~1985
7380623	14761247	8	~1985
7380731	14761463	8	~1985
7381117	44286703	8	~1986
7381163	14762327	8	~1985
7381403	14762807	8	~1985
7381721	59053769	8	~1986
7381739	14763479	8	~1985
7381931	14763863	8	~1985
7381943	14763887	8	~1985
7382321	44293927	8	~1986
7382363	14764727	8	~1985
7382579	14765159	8	~1985
7382581	44295487	8	~1986
7382863	73828631	8	~1986
7382873	177188953	9	~1987
7382983	73829831	8	~1986

Exp.	Prime Factor	Digits	Year
7383031	73830311	8	~1986
7383241	118131857	9	~1987
7383473	103368623	9	~1987
7383671	14767343	8	~1985
7383697	44302183	8	~1986
7383833	221514991	9	~1988
7384061	44304367	8	~1986
7384193	44305159	8	~1986
7384297	44305783	8	~1986
7384343	236298977	9	~1988
7384439	14768879	8	~1985
7384523	14769047	8	~1985
7385009	221550271	9	~1988
7385069	103390967	9	~1987
7385159	14770319	8	~1985
7385351	14770703	8	~1985
7385381	59083049	8	~1986
7385597	44313583	8	~1986
7386011	59088089	8	~1986
7386311	14772623	8	~1985
7386311	59090489	8
7386593	44319559	8	~1986
7386667	73866671	8	~1986
7386779	14773559	8	~1985
7387043	14774087	8	~1985

5.486.313 digits

26-04-05