M2611813 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	45.7103	68.1159%	2611813	26118130	0.3915	5.6893%	46.1018	69.9299%	1.8140%
PrimeNet	2⁵⁹	0.0294	62.7119%	11000	200000	0.0021	2.6971%	0.0315	63.7176%	1.0057%
GPU72	2⁶³	0.6111	65.0794%	12000	200000	0.0022	1.5317%	0.6133	65.6142%	0.5349%
Difference	+6	+45.0992	+3.0366%	+2599813	+25918130	+0.3892	+4.1576%	+45.4885	+4.3157%	+4.3157%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2611813	97405005007147915913729	23	76.366	18647009760489728 2⁸ × 72839881876913	2021-08-22	256	72839881876913	7,619.9	399,128	745,460

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.192%
2003-11-08T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.667%
2010-11-17T11:34:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.223%
2010-12-14T12:51:00	markr	tiny	100000	2125000		-		-	-	0.021	-	-	2.193%
2014-10-12T23:56:00	Jocelyn Larouche	Manual testing	124575	124575		-		-	-	0.013	-	-	0.819%
2016-05-21T05:06:06	Jocelyn Larouche	Manual testing	200000	3600000	6	-		-	-	0.039	-	-	2.825%
2017-07-10T01:11:34	Jocelyn Larouche	low 4M	400000	4000000	6	-		-	-	0.060	-	-	3.194%
2019-10-06T23:50:42	masser	Manual testing	2611813	26118130	12	-		-	-	0.391	-	-	5.689%

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	-	-
2016-02-23T16:29:17	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-30T03:05:00	Sturle Sunde	fizir.ifi	2⁶⁰	2⁶¹		-	-	0.059	-	-
2012-06-25T07:51:00	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.118	-	-
2013-01-14T11:55:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.376	-	-
2015-02-18T11:41:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.752	-	-
2015-02-18T11:41:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.431	-	-
2016-01-16T11:43:03	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.861	-	-
2017-08-28T12:47:26	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.722	-	-
2019-04-29T13:20:20	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.44	-	-
2021-06-03T11:39:12	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.89	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.395 GHz-days
Estimated T-Level:	22.179

Digits	B1	Curves	Complete	FacMiss
20	11000	122 / 100	1.220	29.342%
25	50000	122 / 280	0.436	64.630%

New Calculation Method

Total ECM effort:	11.395 GHz-days
Estimated T-Level:	22.179

Digits	B1	Complete	FacMiss
20	11000	4.718	0.893%
25	50000	0.436	64.638%
30	250000	0.028	97.283%
35	1000000	0.001	99.871%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		114	10.55
50000	6650000		7	0.739
50000	6750000	97405005007147915913729	1	0.106

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-01T17:54:00	Adel El-Atawy	LPTP	50000	5000000						3	0.278
2010-06-13T23:30:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.278
2012-11-20T10:13:00	Donna Noble	PH2x6	50000	5000000						3	0.278
2014-08-27T04:24:00	Bruce	xps630	50000	5000000						3	0.278
2015-11-23T00:48:34	lopper	i5-4670	50000	5000000						3	0.278
2016-03-24T22:10:33	Jason U	Server7	50000	5000000						3	0.278
2016-08-20T14:06:48	lettp	Home	50000	5000000						3	0.278
2017-06-11T12:51:27	Bruce	eleven	50000	5000000						3	0.278
2017-10-24T20:14:05	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.278
2018-04-19T21:31:13	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.278
2019-02-24T18:29:11	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.278
2020-07-05T23:21:18	GAN	LMS-04	50000	5000000						3	0.278
2020-07-13T09:04:22	mnd9	75203b	50000	5000000						3	0.278
2020-07-18T09:07:10	GAN	GAN-HP	50000	5000000						3	0.278
2020-07-26T02:23:14	GAN	KL-SCH02	50000	5000000						3	0.278
2020-08-08T07:03:18	lycorn	colab_ES	50000	5000000						3	0.278
2020-08-19T07:54:49	GAN	OSB-01	50000	5000000						7	0.648
2020-08-26T21:59:36	mnd9	kitchen	50000	5000000						3	0.278
2020-09-24T17:26:19	LaurV	debilis	50000	5000000						7	0.648
2020-11-21T03:02:41	RIHATEC	i7-3770K	50000	5000000						7	0.648
2020-12-18T17:31:45	lycorn	colab_DG_1	50000	5000000						7	0.648
2020-12-27T23:57:35	Zenzoma	AMD3970X	50000	5000000						7	0.648
2021-01-07T02:47:34	Cork	Manual testing	50000	5000000						7	0.648
2021-02-26T08:59:19	Zenzoma	AM3700X_1	50000	5000000						7	0.648
2021-03-12T19:59:55	mnd9	75202b	50000	5000000						7	0.648
2021-07-12T08:47:45	kutens	capella	50000	6650000						7	0.739
2021-07-20T00:18:51	GAN	KL-SCH07	50000	5000000						7	0.648
2021-08-22T22:49:20	kutens	ryzen3	50000	6750000	97405005007147915913729	76.366	1	2	373787055024223	1	0.106

date	userid	compid	res64	spent (GHz-days)
1998-02-08T00:00:00	ANONYMOUS	v4_computers	7CDD8E64270DB9AC	0.181
1999-06-06T00:00:00	ANONYMOUS	v4_computers	7CDD8E64270DB9AC	0.181
2018-06-30T06:12:57	kkmrkkblmbrbk	old	7CDD8E64270DB9AC	0.181

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 = 2611813, B2 = 26118130 (P-1 stage 2)

B1 = 2611813 (P-1 stage 1)

B1 = 400000, B2 = 4000000 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

B1 = 200000, B2 = 3600000 (P-1 stage 2)

B1 = 100000, B2 = 2125000 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

B1 = 124575 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 15000, B2 = 217500 (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