M2664083 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	44.8135	68.1159%	2000000	50000000	0.5169	6.2963%	45.3303	70.1235%	2.0075%
PrimeNet	2⁵⁹	0.0288	62.7119%	11000	200000	0.0024	2.7070%	0.0312	63.7213%	1.0094%
GPU72	2⁶³	0.5991	65.0794%	13000	220000	0.0027	1.6204%	0.6018	65.6452%	0.5659%
Difference	+6	+44.2144	+3.0366%	+1987000	+49780000	+0.5141	+4.6759%	+44.7285	+4.4782%	+4.4782%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2664083	9889843722182907159714608726586281	34	112.930	1856144069494626698889375580 2² × 5 × 97 × 1619 × 590966827395880968553	2021-08-28	1619	590966827395880968553	5.340e+10	3.606e+12	6.735e+12

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%
2011-02-04T05:05:00	markr	tiny	105000	2283750		-		-	-	0.025	-	-	2.261%
2014-11-06T23:05:00	Jocelyn Larouche	Manual testing	129092	129092		-		-	-	0.014	-	-	0.839%
2016-06-07T06:22:17	Jocelyn Larouche	Manual testing	167500	4567500	6	-		-	-	0.046	-	-	2.898%
2016-12-21T00:33:40	Jocelyn Larouche	low 4M	201000	201000		-		-	-	0.023	-	-	1.072%
2017-04-13T02:13:58	Jocelyn Larouche	low 4M	335000	3350000	6	-		-	-	0.056	-	-	3.002%
2018-07-08T11:30:43	Jocelyn Larouche	low 4M	670000	6700000	6	-		-	-	0.112	-	-	3.822%
2019-11-22T05:04:24	masser	Manual testing	2000000	50000000	12	-		-	-	0.517	-	-	6.296%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:18	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-31T02:43:00	Sturle Sunde	foster.ifi	2⁶⁰	2⁶¹		-	-	0.058	-	-
2012-05-22T13:32:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.115	-	-
2013-01-23T08:31:00	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	-	-
2016-01-25T14:29:33	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.805	-	-
2017-09-08T08:21:19	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.610	-	-
2019-05-06T12:23:21	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.22	-	-
2021-06-21T08:53:45	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.44	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.395 GHz-days
Estimated T-Level:	22.107

Digits	B1	Curves	Complete	FacMiss
20	11000	118 / 100	1.180	30.546%
25	50000	118 / 280	0.421	65.561%

New Calculation Method

Total ECM effort:	12.395 GHz-days
Estimated T-Level:	22.107

Digits	B1	Complete	FacMiss
20	11000	3.838	2.155%
25	50000	0.347	70.664%
30	250000	0.021	97.883%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		101	10.44
50000	5000000	9889843722182907159714608726586281	3	0.310
50000	6450000		7	0.813
50000	6750000		7	0.832

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-10T12:22:00	Never Odd Or Even	G_Quad	50000	5000000						3	0.310
2010-07-17T18:52:00	James Classen	towerofart	50000	5000000						3	0.310
2012-12-07T14:25:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.310
2014-12-05T04:07:00	arnaud	srv-630	50000	5000000						3	0.310
2016-01-24T18:58:38	ANONYMOUS		50000	5000000						3	0.310
2016-04-11T17:39:17	Jason U	Server7	50000	5000000						3	0.310
2016-09-24T20:35:09	lettp	Home	50000	5000000						3	0.310
2017-07-03T10:45:44	Bruce	eleven	50000	5000000						3	0.310
2017-11-06T09:19:09	AK76	AK76	50000	5000000						3	0.310
2017-11-06T12:44:16	AK76	Manual testing	50000	5000000						3	0.310
2019-06-23T04:58:40	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2020-07-19T15:56:19	GAN	KL-SCH07	50000	5000000						3	0.310
2020-07-24T12:44:26	daveward2005	Dave2	50000	5000000						3	0.310
2020-07-31T13:20:50	IanGlencross	glenx24	50000	5000000						3	0.310
2020-08-08T04:33:03	GAN	LMS-14	50000	5000000						3	0.310
2020-08-17T05:15:44	M. R. Mayer	nimbus	50000	5000000						7	0.724
2020-09-19T14:15:38	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.724
2020-10-19T14:40:45	alpertron	colab	50000	5000000						7	0.724
2020-11-20T06:20:10	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.724
2020-12-27T22:50:16	lycorn	colab_S	50000	5000000						7	0.724
2021-01-27T14:10:09	mat10243x	K	50000	5000000						7	0.724
2021-02-26T07:05:43	Deufo	Ryzen2600	50000	6750000						7	0.832
2021-04-05T15:31:10	Zenzoma	AMD3970X	50000	5000000						7	0.724
2021-05-25T20:02:58	kutens	canopus	50000	5000000						7	0.724
2021-07-05T19:49:31	Dylan Delgado	colab	50000	6450000						7	0.813
2021-08-28T09:27:24	MarkS	laptop64	50000	5000000	9889843722182907159714608726586281	112.930	3	2	7058630783404862	3	0.310

date	userid	compid	res64	spent (GHz-days)
1999-09-30T00:00:00	ANONYMOUS	v4_computers	58CF28B252E50CEA	0.206
2018-07-22T20:24:43	kkmrkkblmbrbk	old	58CF28B252E50CEA	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 = 670000, B2 = 6700000 (P-1 stage 2)

B1 = 670000 (P-1 stage 1)

B1 = 335000, B2 = 3350000 (P-1 stage 2)

B1 = 167500, B2 = 4567500 (P-1 stage 2)

B1 = 335000 (P-1 stage 1)

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

B1 = 201000 (P-1 stage 1)

B1 = 167500 (P-1 stage 1)

B1 = 129092 (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