M2294987 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	25.9718	67.6471%	3000000	90000000	0.7582	7.6829%	26.7299	70.1327%	2.4857%
PrimeNet	2⁵⁸	0.0167	62.0690%	10000	190000	0.0019	2.9268%	0.0187	63.1791%	1.1102%
GPU72	2⁶²	0.2677	64.5161%	12000	200000	0.0022	1.7368%	0.2699	65.1324%	0.6163%
Difference	+6	+25.7041	+3.1309%	+2988000	+89800000	+0.7560	+5.9461%	+26.4601	+5.0003%	+5.0003%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2294987	2001342289876175495735263	25	80.727	436024755233074413 3² × 7 × 23 × 1012699 × 297140863	2020-08-02	1012699	297140863	171,199	1.6796	2.9618

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%
2010-12-03T10:57:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.679%
2011-01-17T09:04:00	Oscar Östlin		85000	1742500		-		-	-	0.017	-	-	2.235%
2014-06-11T02:10:00	Jocelyn Larouche	Manual testing	112967	112967		-		-	-	0.011	-	-	0.870%
2014-10-03T21:04:00	Jocelyn Larouche	Manual testing	140934	140934		-		-	-	0.014	-	-	0.986%
2016-01-16T00:34:37	Jocelyn Larouche	Manual testing	431426	4314260	6	-		-	-	0.063	-	-	3.578%
2019-11-18T19:07:25	BigBrother	Winston	3000000	90000000	12	-		-	-	0.758	-	-	7.683%

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	-	-
2009-01-15T05:11:00	Sturle Sunde	hummel.ifi	2⁶⁰	2⁶¹		-	-	0.067	-	-
2012-05-12T04:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.134	-	-
2013-01-23T08:24:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.428	-	-
2015-03-12T10:50:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.855	-	-
2015-03-12T10:50:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.628	-	-
2015-11-04T09:56:27	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.256	-	-
2017-05-27T13:18:45	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.512	-	-
2019-04-22T13:11:36	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.02	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.608 GHz-days
Estimated T-Level:	4.300

Digits	B1	Curves	Complete	FacMiss
20	11000	86 / 100	0.860	42.133%
25	50000	86 / 280	0.307	73.514%

New Calculation Method

Total ECM effort:	7.608 GHz-days
Estimated T-Level:	4.300

Digits	B1	Complete	FacMiss
20	11000	2.774	6.240%
25	50000	0.251	77.823%
30	250000	0.015	98.468%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		84	7.431
50000	5000000	2001342289876175495735263	2	0.177

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-17T08:23:00	dachshund	Ann	50000	5000000						3	0.265
2010-07-18T18:05:00	James Hintz	nana	50000	5000000						3	0.265
2011-11-16T07:15:00	kracker	A8-PC	50000	5000000						3	0.265
2013-09-27T02:59:00	Syntony	Foundling	50000	5000000						3	0.265
2015-04-11T07:55:00	Jason U	Server7	50000	5000000						3	0.265
2016-02-18T07:31:40	S36049	Wolle5	50000	5000000						3	0.265
2016-04-16T12:05:17	Bruce	Desk6	50000	5000000						3	0.265
2016-08-03T13:20:08	Bruce	Desk6	50000	5000000						3	0.265
2017-01-02T12:14:44	Bruce	Desk6	50000	5000000						3	0.265
2017-08-09T20:55:40	Bruce	Desk6	50000	5000000						3	0.265
2018-01-14T19:06:58	Bruce	Desk6	50000	5000000						3	0.265
2018-07-11T23:10:36	Bruce	Desk6	50000	5000000						3	0.265
2019-09-30T06:25:46	storm5510	3570_Ivy_Bridge	50000	5000000						3	0.265
2020-03-05T11:16:29	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.265
2020-03-12T07:56:00	Brett Walker	brain	50000	5000000						3	0.265
2020-03-19T20:50:25	Brett Walker	brain	50000	5000000						3	0.265
2020-03-31T09:54:40	Keysarecool	HPLaptop	50000	5000000						3	0.265
2020-04-13T09:46:54	mnd9	221Rb	50000	5000000						3	0.265
2020-04-24T08:04:58	MarkS	laptop64	50000	5000000						3	0.265
2020-05-04T08:42:33	nordi	sweet16	50000	5000000						3	0.265
2020-05-13T01:02:10	EricP	Cannonfodder	50000	5000000						3	0.265
2020-05-30T04:08:30	mnd9	75203b	50000	5000000						3	0.265
2020-06-17T03:39:58	daveward2005	Davy	50000	5000000						3	0.265
2020-06-30T00:21:15	GAN	AC-KL	50000	5000000						3	0.265
2020-07-06T18:48:08	GAN	PG-MS	50000	5000000						3	0.265
2020-07-13T01:18:37	GAN	LMS-13	50000	5000000						3	0.265
2020-07-19T11:06:47	mnd9	libproj	50000	5000000						3	0.265
2020-07-25T06:41:34	GAN	LMS-08	50000	5000000						3	0.265
2020-08-02T03:15:24	GAN	KA-HP	50000	5000000	2001342289876175495735263	80.727	2	2	1244336295017793	2	0.177

date	userid	compid	res64	spent (GHz-days)
1999-02-21T00:00:00	ANONYMOUS	v4_computers	074FD50C3FFF7122	0.155
2018-04-29T17:41:39	kkmrkkblmbrbk	old	074FD50C3FFF7122	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 = 431426, B2 = 4314260 (P-1 stage 2)

B1 = 431426 (P-1 stage 1)

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

B1 = 140934 (P-1 stage 1)

B1 = 112967 (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

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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