M2665469 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁹	44.7902	68.1159%	2000000	50000000	0.5169	6.2967%	45.3070	70.1236%	2.0076%
PrimeNet	2⁵⁹	0.0288	62.7119%	11000	200000	0.0024	2.7072%	0.0312	63.7213%	1.0095%
GPU72	2⁶³	0.5988	65.0794%	13000	220000	0.0027	1.6206%	0.6015	65.6453%	0.5659%
Difference	+6	+44.1914	+3.0366%	+1987000	+49780000	+0.5141	+4.6761%	+44.7055	+4.4783%	+4.4783%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2665469	30662393314857769434441919	26	84.665	5751782015633603211 3 × 1917260671877867737	2021-07-14	3	1917260671877867737	2,459,630	1.170e+10	2.185e+10

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.193%
2003-11-28T00:00:00	Team Prime Rib	v4_computers	15000	213750		-		-	-	0.003	-	-	0.666%
2010-12-21T22:27:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.224%
2010-12-26T02:29:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.313%
2011-02-03T14:53:00	markr	tiny	105000	2283750		-		-	-	0.025	-	-	2.261%
2014-11-06T23:05:00	Jocelyn Larouche	Manual testing	129080	129080		-		-	-	0.014	-	-	0.839%
2016-06-08T10:37:13	Jocelyn Larouche	Manual testing	151988	4567500	6	-		-	-	0.044	-	-	2.847%
2016-12-18T19:43:07	Jocelyn Larouche	low 4M	182385	182385		-		-	-	0.020	-	-	1.018%
2017-01-10T10:25:00	Jocelyn Larouche	low 4M	218862	218862		-		-	-	0.025	-	-	1.121%
2017-03-07T20:00:33	Jocelyn Larouche	low 4M	315160	3151600	6	-		-	-	0.053	-	-	2.935%
2018-08-29T01:29:37	Jocelyn Larouche	low 4M	626630	626630		-		-	-	0.070	-	-	1.840%
2018-08-30T21:10:20	Jocelyn Larouche	low 4M	630320	630320		-		-	-	0.071	-	-	1.845%
2018-09-03T21:22:18	Jocelyn Larouche	low 4M	630320	1260640		-		-	-	0.074	-	-	2.405%
2018-09-04T10:43:06	Jocelyn Larouche	low 4M	630320	1890960		-		-	-	0.078	-	-	2.737%
2018-09-07T21:01:40	Jocelyn Larouche	low 4M	630320	2521280		-		-	-	0.082	-	-	2.975%
2019-11-22T14:04:09	masser	Manual testing	2000000	50000000	12	-		-	-	0.517	-	-	6.297%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1997-12-13T00:00:00	JG12	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:18	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-30T17:20:00	Sturle Sunde	golli.ifi	2⁶⁰	2⁶¹		-	-	0.058	-	-
2012-05-20T15:25:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.115	-	-
2013-01-14T11:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.368	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.737	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.402	-	-
2016-01-25T14:29:34	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.804	-	-
2017-09-08T08:21:19	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.607	-	-
2019-04-29T13:20:18	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.21	-	-
2021-06-21T08:53:42	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.43	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.371 GHz-days
Estimated T-Level:	21.964

Digits	B1	Curves	Complete	FacMiss
20	11000	110 / 100	1.100	33.103%
25	50000	110 / 280	0.393	67.465%

New Calculation Method

Total ECM effort:	11.371 GHz-days
Estimated T-Level:	21.964

Digits	B1	Complete	FacMiss
20	11000	3.548	2.877%
25	50000	0.321	72.564%
30	250000	0.020	98.045%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		108	11.16
50000	5000000	30662393314857769434441919	2	0.207

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-08T02:29:00	Never Odd Or Even	Lap_Dir_1000	50000	5000000						3	0.310
2010-07-19T22:07:00	Lupo	yorick	50000	5000000						3	0.310
2012-12-08T08:22:00	Smurgs	Praca	50000	5000000						3	0.310
2014-12-06T23:09:00	arnaud	srv-630	50000	5000000						3	0.310
2016-01-25T08:31:47	Jason U	Server7	50000	5000000						3	0.310
2016-04-14T00:24:12	Jason U	Server7	50000	5000000						3	0.310
2016-09-25T08:29:33	lettp	Home	50000	5000000						3	0.310
2017-07-15T17:33:34	Sebastian Hornbostel	V2	50000	5000000						3	0.310
2017-11-07T10:37:34	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2018-05-24T17:03:39	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2019-06-27T10:18:45	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2020-07-18T13:13:49	GAN	LMS-17	50000	5000000						3	0.310
2020-07-25T08:44:49	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.310
2020-07-31T19:35:40	lycorn	colab_S	50000	5000000						3	0.310
2020-08-08T18:42:32	daveward2005	Dave2	50000	5000000						3	0.310
2020-08-18T21:56:04	rextherunt	ice	50000	5000000						7	0.724
2020-09-19T18:46:33	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.724
2020-10-19T04:01:25	Albrecht Heeffer	R7-3800X	50000	5000000						7	0.724
2020-11-22T00:55:15	IanGlencross	glenx24	50000	5000000						7	0.724
2020-12-28T16:01:40	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.724
2021-01-31T05:09:24	GAN	KL-SCH09	50000	5000000						7	0.724
2021-02-27T01:05:09	Zenzoma	AMD3970X	50000	5000000						7	0.724
2021-04-03T01:35:47	mnd9	kitchen	50000	5000000						7	0.724
2021-05-19T07:45:17	kutens	canopus	50000	5000000						7	0.724
2021-07-14T16:58:24	GAN	KL-SCH02	50000	5000000	30662393314857769434441919	84.665	2	2	7104260015304456	2	0.207

date	userid	compid	res64	spent (GHz-days)
1997-11-25T00:00:00	JG12	v4_computers	903F5472F1310AC3	0.206
1997-12-13T00:00:00	JG12	v4_computers	903F5472F1310AC3	0.206
1999-05-02T00:00:00	ANONYMOUS	v4_computers	903F5472F1310AC3	0.206
2018-07-23T03:44:58	kkmrkkblmbrbk	old	903F5472F1310AC3	0.206

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 = 2000000, B2 = 50000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 630320, B2 = 2521280 (P-1 stage 2)

B1 = 630320, B2 = 1890960 (P-1 stage 2)

B1 = 630320, B2 = 1260640 (P-1 stage 2)

B1 = 630320 (P-1 stage 1)

B1 = 626630 (P-1 stage 1)

B1 = 315160, B2 = 3151600 (P-1 stage 2)

B1 = 151988, B2 = 4567500 (P-1 stage 2)

B1 = 315160 (P-1 stage 1)

B1 = 105000, B2 = 2283750 (P-1 stage 2)

B1 = 218862 (P-1 stage 1)

B1 = 182385 (P-1 stage 1)

B1 = 151988 (P-1 stage 1)

B1 = 129080 (P-1 stage 1)

B1 = 105000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 213750 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

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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