M2612353 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	45.7009	68.1159%	2612353	26123530	0.3916	5.6898%	46.0924	69.9301%	1.8141%
PrimeNet	2⁵⁹	0.0294	62.7119%	11000	200000	0.0021	2.6972%	0.0315	63.7176%	1.0057%
GPU72	2⁶³	0.6109	65.0794%	12000	200000	0.0022	1.5318%	0.6132	65.6143%	0.5349%
Difference	+6	+45.0899	+3.0366%	+2600353	+25923530	+0.3893	+4.1580%	+45.4792	+4.3158%	+4.3158%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2612353	64307087817425566455127	23	75.767	12308269176758571 3 × 21124661 × 194216437	2021-07-08	21124661	194216437	5,624.4	3.0730	4.3239

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%
2010-12-14T09:38:00	markr	tiny	100000	2125000		-		-	-	0.021	-	-	2.193%
2014-10-12T23:56:00	Jocelyn Larouche	Manual testing	124570	124570		-		-	-	0.013	-	-	0.819%
2016-05-21T05:06:06	Jocelyn Larouche	Manual testing	200000	3600000	6	-		-	-	0.039	-	-	2.825%
2017-07-10T01:11:35	Jocelyn Larouche	low 4M	400000	4000000	6	-		-	-	0.060	-	-	3.194%
2019-10-14T15:57:27	masser	Manual testing	2612353	26123530	12	-		-	-	0.392	-	-	5.690%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1997-11-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.015	-	-
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:17	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-30T18:37:00	Sturle Sunde	fizir.ifi	2⁶⁰	2⁶¹		-	-	0.059	-	-
2012-06-26T03:31:00	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		-	-	1.430	-	-
2016-01-16T11:43:03	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.861	-	-
2017-08-28T12:47:26	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.721	-	-
2019-04-29T13:20:19	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.44	-	-
2021-06-03T11:39:10	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.88	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.303 GHz-days
Estimated T-Level:	22.161

Digits	B1	Curves	Complete	FacMiss
20	11000	121 / 100	1.210	29.639%
25	50000	121 / 280	0.432	64.861%

New Calculation Method

Total ECM effort:	11.303 GHz-days
Estimated T-Level:	22.161

Digits	B1	Complete	FacMiss
20	11000	3.926	1.972%
25	50000	0.355	70.143%
30	250000	0.022	97.839%
35	1000000	0.001	99.900%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		100	9.254
50000	5000000	64307087817425566455127	7	0.648
50000	5150000		7	0.656
50000	6750000		7	0.744

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-06T19:37:00	Matt	Dell	50000	5000000						3	0.278
2010-06-08T03:56:00	Lupo	yorick	50000	5000000						3	0.278
2012-11-19T22:21:00	Donna Noble	CCI-i7-3770s-XP	50000	5000000						3	0.278
2014-08-29T06:59:00	Bruce	xps630	50000	5000000						3	0.278
2015-11-09T02:03:54	dragon325	Falken-i7-920	50000	5000000						3	0.278
2016-03-30T01:20:30	jwdenney	johndenney	50000	5000000						3	0.278
2016-08-20T17:10:28	lettp	Home	50000	5000000						3	0.278
2017-06-11T18:41:01	Bruce	eleven	50000	5000000						3	0.278
2017-10-25T13:34:15	Sebastian Hornbostel	V2	50000	5000000						3	0.278
2018-04-20T19:13:57	deo2016	deo2016.home.new	50000	5000000						3	0.278
2019-02-25T07:16:43	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.278
2020-07-06T02:54:15	GAN	LMS-15	50000	5000000						3	0.278
2020-07-14T12:57:07	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.278
2020-07-18T11:49:55	GAN	LMS-15	50000	5000000						3	0.278
2020-07-24T16:48:08	GAN	LMS-14	50000	5000000						3	0.278
2020-07-31T19:17:37	GAN	LMS-04	50000	5000000						3	0.278
2020-08-08T16:20:32	daveward2005	Dave2	50000	5000000						3	0.278
2020-08-20T15:55:14	mnd9	libproj	50000	5000000						7	0.648
2020-09-18T21:50:43	-Anonymous-	aws	50000	5000000						7	0.648
2020-10-19T03:26:42	IanGlencross	glenx24	50000	5000000						7	0.648
2020-11-21T21:07:04	RIHATEC	i7-3770K	50000	5000000						7	0.648
2020-12-28T23:51:46	GAN	OSK-SCH03	50000	5000000						7	0.648
2021-01-28T16:30:06	Zenzoma	AMD3970X	50000	5000000						7	0.648
2021-04-28T13:08:09	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.648
2021-05-18T23:15:22	kutens	canopus	50000	5150000						7	0.656
2021-06-07T03:23:39	lycorn	colab_S_1	50000	6750000						7	0.744
2021-07-08T13:44:38	daveward2005	Dave2	50000	5000000	64307087817425566455127	75.767	7	2	392537930692268	7	0.648

date	userid	compid	res64	spent (GHz-days)
1997-11-21T00:00:00	ANONYMOUS	v4_computers	093F7991FA89FB08	0.181
1999-04-23T00:00:00	ANONYMOUS	v4_computers	093F7991FA89FB08	0.181
2018-06-30T09:20:42	kkmrkkblmbrbk	old	093F7991FA89FB08	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 = 2612353, B2 = 26123530 (P-1 stage 2)

B1 = 2612353 (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 = 124570 (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)

10²

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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