M42 307 Mersenne number exponent details

≡

M42307

<<<

<<

is 2 ⁴²³⁰⁷ - 1

has 12736 decimal digits

takes 0.000 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			850000000	693958618653300	39,138.1704	70.4298%	39,138.1704	70.4298%
Target	2⁴⁴	0.0001	63.6364%	500	80000	0.0000	1.9440%	0.0001	64.3433%
Difference	-44	-0.0001	-63.6364%	+849999500	+693958618573300	+39,138.1704	+68.4858%	+39,138.1703	+6.0865%

Known prime factors (3 factors, 262.4 bits, 0.62023701% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
42307	451131505419601	15	48.681	5331641400 2³ × 3³ × 5² × 353 × 2797	-	353	2797	0.0017	5.032e-7	7.437e-7
42307	168348766964797956897337	24	77.156	1989608894093151924 2² × 3 × 17 × 9752984774966431	2010-05-03	17	9752984774966431	1,093,675	550,041	1,027,324
42307	129081365850579446758156704273699070814591	42	136.567	1525532014212535121352928643885161685 5 × 7 × 70177 × 79979 × 4062139 × 357477083 × 5347853821	2023-04-13	357477083	5347853821	4.494e+12	0.6515	0.7531

exponent	prime factors	composite factor	digits	bits*
42307	451131505419601 168348766964797956897337	75947432676362895283216958814264502537	38	125.836
42307	451131505419601 129081365850579446758156704273699070814591	58232670897790181130343591464003105003636417602328 198191	56	185.248
42307	168348766964797956897337 129081365850579446758156704273699070814591	21730688779077028292855118835245988453568400268570 954883548644167	65	213.723
42307	451131505419601 168348766964797956897337 129081365850579446758156704273699070814591	98033983427098510270728106558086705346589870347085 73396995040823860075976117367	79	262.404

4 Composite Factors:

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-09-19	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 451131505419601	-	-	0.211	-	-	39.186%
2023-04-13	JacobZ	MServer	850000000	693958618653300			129081365850579446758156704273699070814591	42	136.567	39,138	6.04050e-5	78,276	70.430%

Trial Factoring results:
No TF results for M42307

ECM factoring results:

Total ECM effort:	52.203 GHz-days
Estimated T-Level:	35.595

Digits	B1	Complete	FacMiss
20	11000	318.153	0.000%
25	50000	60.852	0.000%
30	250000	9.209	0.010%
35	1000000	1.143	31.892%
40	3000000	0.119	88.787%
45	11000000	0.011	98.945%

ECM Summary

B1	B2	factor	curves	GHz-days
		168348766964797956897337	1	0.00000e+0
50000	5000000		275	0.205
250000	25000000		604	2.249
1000000	100000000		1,416	21.09
3000000	11206867318		50	28.66

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-22	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.022
2010-04-28	James Hintz	11_122109	50000	5000000						11	0.008
2010-04-29	James Hintz	11_122109	50000	5000000						11	0.008
2010-04-29	James Hintz	11_122109	50000	5000000						11	0.008
2010-04-30	James Hintz	11_122109	50000	5000000						11	0.008
2010-04-30	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-01	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-01	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-01	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-02	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-02	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-03	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-03	James Hintz	11_122109			168348766964797956897337	77.156		1		1	-
2010-05-04	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-04	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-05	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-05	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-06	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-06	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-07	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-07	James Hintz	11_122109	50000	5000000						11	0.008
2010-05-26	James Hintz	newestmember	50000	5000000						36	0.027
2011-01-23	James Hintz	NEW_OMFG	250000	25000000						4	0.015
2011-02-18	James Hintz	17_051310	250000	25000000						11	0.041
2011-03-01	James Hintz	13_052010	250000	25000000						11	0.041
2016-08-19	TJAOI	Manual testing	250000	25000000						18	0.067
2016-09-11	kkmrkkblmbrbk	old	250000	25000000						540	2.011
2016-09-11	kkmrkkblmbrbk	old	250000	25000000						20	0.074
2016-09-12	kkmrkkblmbrbk	old	1000000	100000000						15	0.223
2018-09-28	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-09-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-10-01	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-02	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-04	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-07	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-08	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-09	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-13	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-15	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-16	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-18	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-19	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-21	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-22	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-25	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-27	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-28	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-29	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-30	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-31	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-02	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-03	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-04	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-07	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-11-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-11-09	Ducho_YYZ	Pantalaimon	1000000	100000000						3	0.045
2018-11-10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-11	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-11-11	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-11-13	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-14	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-15	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-17	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-18	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-20	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-22	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-23	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-11-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-11-28	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-30	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-12-01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-12-03	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-12-05	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-12-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-12-08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-12-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2018-12-12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-12-13	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-12-15	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-12-17	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-12-19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-12-21	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-12-22	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-12-24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-12-26	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-12-28	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-12-30	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-01-01	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-01-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-01-05	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-01-07	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-01-09	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-01-12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-01-13	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-01-14	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-01-16	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-01-19	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-01-21	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-01-23	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-01-25	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-01-28	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-01-30	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-02-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-02-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-02-06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-02-08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-02-11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-02-13	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-02-15	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-02-18	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-02-20	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-02-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-02-25	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-02-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-03-01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-03-04	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-03-06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-03-08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-03-09	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-03-11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-03-13	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-03-16	storm5510	3570_Ivy_Bridge	1000000	100000000						3	0.045
2019-03-19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-03-22	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-03-25	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-03-27	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-03-30	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-04-01	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-04-03	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-04-06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-04-08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-04-11	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-04-14	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-04-18	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-04-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-04-25	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-04-27	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-04-30	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-05-03	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-05-06	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-05-09	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-05-12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-05-14	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2019-05-18	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-05-22	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-05-26	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-05-31	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-06-04	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-06-08	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-06-13	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-06-17	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-06-22	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-06-26	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2019-07-03	Niels_Mache_Nextcloud		1000000	100000000						3	0.045
2019-07-20	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-07-23	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-07-26	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-07-29	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-01	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-04	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-06	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-08-12	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-15	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-18	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-08-23	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-26	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-08-29	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-09-01	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-09-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-09-07	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-09-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-09-12	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-09-15	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-09-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-09-21	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-09-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-09-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-09-30	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-02	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-05	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-11	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-10-14	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-17	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-20	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-23	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-25	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-10-28	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-10-31	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-03	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-06	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-08	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-11	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-17	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-17	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-17	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-17	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-17	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-17	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-18	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-18	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.045
2019-11-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-20	storm5510	3570_Ivy_Bridge	1000000	100000000						3	0.045
2019-11-20	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-23	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-28	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-11-30	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-02	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-02	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-05	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-05	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-07	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-08	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-11	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-12	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-13	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-14	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-15	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-17	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-20	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-23	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-28	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-30	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2019-12-31	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-02	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-05	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-07	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-08	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-12	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-13	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-14	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-17	French	Evan_s	1000000	100000000						3	0.045
2020-01-17	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-23	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-28	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-01-31	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-07	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-12	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-13	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-15	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-22	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-02-29	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-02	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-05	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-07	Naegi Makoto	4210	1000000	100000000						3	0.045
2020-03-09	Naegi Makoto	4210	1000000	100000000						3	0.045
2020-03-10	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-12	Naegi Makoto	4210	1000000	100000000						3	0.045
2020-03-13	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-15	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-16	Naegi Makoto	4210	1000000	100000000						3	0.045
2020-03-18	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-03-21	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045
2020-04-03	French	Evan_s	1000000	100000000						3	0.045
2020-04-20	Alex Kruppa	lily	1000000	100000000						3	0.045
2020-04-27	Alex Kruppa	lily	1000000	100000000						3	0.045
2020-05-10	Alex Kruppa	lily	1000000	100000000						3	0.045
2020-06-01	French	Evan_s	1000000	100000000						3	0.045
2020-10-11	Wentao Huang	bio3	1000000	100000000						7	0.104
2021-10-28	debrouxl	Manual testing	1000000	100000000						350	5.213
2022-05-10	James Hintz	work_lappy_10_8_2021	1000000	100000000						144	2.145
2023-06-26	nordi	sweet16_30.9b3	3000000	11206867318						50	28.66

Lucas-Lehmer results:
No L-L results for M42307

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

PRP

451131505419601

168348766964797956897337

867541C43E359DBB

no

2017-09-21

Oliver Kruse

Manual testing

451131505419601

168348766964797956897337

867541C43E359DBB

no

2017-10-02

kkmrkkblmbrbk

Manual testing

451131505419601

168348766964797956897337

867541C43E359D__

no

2017-12-07

ATH

xps

451131505419601

168348766964797956897337

867541C43E359D__

no

2020-04-17

Oliver Kruse

Manual testing

451131505419601

168348766964797956897337

556628AA72645E__

no

2023-04-13

JacobZ

MServer

451131505419601

168348766964797956897337

129081365850579446758156704273699070814591

556628AA72645EC9

no

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 850000000, B2 = 693958618653300 (P-1 stage 2)

B1 = 850000000 (P-1 stage 1)

B1 = 100000000, B2 = 2000000000 (P-1 stage 2)

B1 = 100000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

ECM T-Level=35.59 ~= 102-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

Last modified: 2023-07-11T14:45:05+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront