M2292439 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	2⁶⁸	26.0006	67.6471%	3000000	90000000	0.7582	7.6821%	26.7588	70.1324%	2.4854%
PrimeNet	2⁵⁸	0.0167	62.0690%	10000	190000	0.0019	2.9262%	0.0187	63.1789%	1.1099%
GPU72	2⁶²	0.2680	64.5161%	12000	200000	0.0022	1.7364%	0.2702	65.1323%	0.6161%
Difference	+6	+25.7326	+3.1309%	+2988000	+89800000	+0.7560	+5.9457%	+26.4886	+5.0002%	+5.0002%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2292439	13167142702905966100447409	26	83.445	2871863265043468136 2³ × 7 × 619 × 741413 × 111744173	2020-12-29	741413	111744173	864,877	0.6650	1.1138

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-08-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.229%
2010-11-07T12:40:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.201%
2010-11-15T02:50:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.258%
2010-11-29T10:53:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.679%
2011-01-16T23:36:00	Oscar Östlin		85000	1742500		-		-	-	0.017	-	-	2.235%
2014-06-11T02:10:00	Jocelyn Larouche	Manual testing	112998	112998		-		-	-	0.011	-	-	0.870%
2014-10-03T21:04:00	Jocelyn Larouche	Manual testing	140996	140996		-		-	-	0.014	-	-	0.986%
2016-01-01T13:48:33	Jocelyn Larouche	Manual testing	359683	3596830	6	-		-	-	0.053	-	-	3.357%
2019-07-17T05:18:46	BigBrother	Winston	3000000	90000000	12	-		-	-	0.758	-	-	7.682%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:11	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.067	-	-
2009-01-15T00:22:00	Sturle Sunde	gorky.ifi	2⁶⁰	2⁶¹		-	-	0.067	-	-
2012-05-12T01:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.134	-	-
2013-08-20T23:28:00	David Campeau	Manual testing	2⁶²	2⁶³		-	-	0.428	-	-
2015-03-12T10:50:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.856	-	-
2015-03-12T10:50:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.630	-	-
2015-11-03T10:10:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.260	-	-
2017-05-21T02:33:15	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.519	-	-
2019-05-20T13:24:27	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.04	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.525 GHz-days
Estimated T-Level:	22.125

Digits	B1	Curves	Complete	FacMiss
20	11000	119 / 100	1.190	30.240%
25	50000	119 / 280	0.425	65.327%

New Calculation Method

Total ECM effort:	10.525 GHz-days
Estimated T-Level:	22.125

Digits	B1	Complete	FacMiss
20	11000	4.577	1.029%
25	50000	0.423	65.476%
30	250000	0.027	97.364%
35	1000000	0.001	99.875%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		118	10.44
50000	5000000	13167142702905966100447409	1	0.088

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-16T18:10:00	SubPrime	c2d0	50000	5000000						3	0.265
2010-07-17T04:47:00	James Hintz	nana	50000	5000000						3	0.265
2012-01-19T13:59:00	Lukasz Wrobel	i-1	50000	5000000						3	0.265
2013-09-15T11:05:00	arnaud	srv-630	50000	5000000						3	0.265
2015-04-11T14:10:00	Lukasz Wrobel	i-1	50000	5000000						3	0.265
2016-02-13T09:36:03	Sintax	cloud2	50000	5000000						3	0.265
2016-04-14T23:36:15	Bruce	Desk6	50000	5000000						3	0.265
2016-08-02T03:58:52	Bruce	Desk6	50000	5000000						3	0.265
2016-12-31T11:03:20	Bruce	Desk6	50000	5000000						3	0.265
2017-08-06T16:15:52	Bruce	Desk6	50000	5000000						3	0.265
2018-01-11T16:31:43	Bruce	Desk6	50000	5000000						3	0.265
2018-07-09T07:38:10	Bruce	Desk6	50000	5000000						3	0.265
2019-09-21T15:55:49	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.265
2020-03-04T20:32:45	mnd9	kitchen	50000	5000000						3	0.265
2020-03-11T09:59:35	mnd9	75201b	50000	5000000						3	0.265
2020-03-18T20:01:24	daveward2005	Davy	50000	5000000						3	0.265
2020-03-30T14:14:35	kracker	O0	50000	5000000						3	0.265
2020-04-11T10:53:06	mnd9	221Rb	50000	5000000						3	0.265
2020-04-23T19:14:53	mnd9	libproj	50000	5000000						3	0.265
2020-04-30T21:58:19	nordi	sweet16	50000	5000000						3	0.265
2020-05-12T05:49:43	nordi	sweet16	50000	5000000						3	0.265
2020-05-28T03:23:19	mnd9	75203b	50000	5000000						3	0.265
2020-06-16T20:36:30	GAN	KL-SCH09	50000	5000000						3	0.265
2020-06-29T02:26:29	daveward2005	Davy	50000	5000000						3	0.265
2020-07-05T22:01:42	GAN	LMS-16	50000	5000000						3	0.265
2020-07-12T09:48:11	GAN	LMS-06	50000	5000000						3	0.265
2020-07-18T07:46:29	GAN	OSB-02	50000	5000000						3	0.265
2020-07-24T15:32:18	daveward2005	Davy	50000	5000000						3	0.265
2020-07-31T13:37:33	GAN	PG-HP	50000	5000000						3	0.265
2020-08-08T07:39:18	GAN	LMS-06	50000	5000000						3	0.265
2020-08-17T07:52:55	GAN	OSB-02	50000	5000000						7	0.619
2020-09-19T14:16:27	Brett Walker	brain	50000	5000000						7	0.619
2020-10-18T22:39:06	mnd9	25836b	50000	5000000						7	0.619
2020-11-20T21:03:56	LordJulius	Babybox	50000	5000000						7	0.619
2020-12-29T00:45:28	rextherunt	ice	50000	5000000	13167142702905966100447409	83.445	1	2		1	0.088

date	userid	compid	res64	spent (GHz-days)
1999-11-04T00:00:00	Alex Kruppa	v4_computers	900F7EEC66B3BCB1	0.155
2018-04-29T08:11:18	kkmrkkblmbrbk	old	900F7EEC66B3BCB1	0.155

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 = 3000000, B2 = 90000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 359683, B2 = 3596830 (P-1 stage 2)

B1 = 359683 (P-1 stage 1)

B1 = 85000, B2 = 1742500 (P-1 stage 2)

B1 = 140996 (P-1 stage 1)

B1 = 112998 (P-1 stage 1)

B1 = 85000 (P-1 stage 1)

B1 = 75011 (P-1 stage 1)

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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10⁹

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