M2971559 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	40.1765	68.1159%	1000000	20000000	0.2512	5.0598%	40.4276	69.7292%	1.6133%
PrimeNet	2⁶⁰	0.0517	63.3333%	12000	220000	0.0029	2.5107%	0.0546	64.2539%	0.9206%
GPU72	2⁶⁴	1.1978	65.6250%	12000	200000	0.0027	1.3486%	1.2005	66.0886%	0.4636%
Difference	+5	+38.9787	+2.4909%	+988000	+19800000	+0.2484	+3.7112%	+39.2271	+3.6406%	+3.6406%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2971559	93288050159209974529672151	26	86.270	15696819440436816925 5² × 627872777617472677	2021-06-28	25	627872777617472677	7,836,533	4.222e+9	7.885e+9

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-12-13T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.199%
2003-12-23T00:00:00	Team Prime Rib	v4_computers	10000	10000		-		-	-	0.001	-	-	0.120%
2010-10-27T22:32:00	markr	tiny	95000	1995000		-		-	-	0.024	-	-	2.180%
2015-05-02T08:23:00	VictordeHollander	Manual testing	1000000	20000000		-		-	-	0.251	-	-	5.060%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.052	-	-
2009-02-12T20:26:00	Sturle Sunde	antonov.ifi	2⁶⁰	2⁶¹		-	-	0.052	-	-
2011-11-29T06:57:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.103	-	-
2013-01-07T13:49:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.330	-	-
2015-04-29T14:58:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.661	-	-
2015-04-29T14:58:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.257	-	-
2016-02-28T22:17:41	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.515	-	-
2017-12-03T16:23:23	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.030	-	-
2018-12-25T13:40:43	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.06	-	-
2021-05-17T10:42:34	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	20.12	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.949 GHz-days
Estimated T-Level:	3.800

Digits	B1	Curves	Complete	FacMiss
20	11000	76 / 100	0.760	46.588%
25	50000	76 / 280	0.271	76.192%

New Calculation Method

Total ECM effort:	8.949 GHz-days
Estimated T-Level:	3.800

Digits	B1	Complete	FacMiss
20	11000	2.949	5.241%
25	50000	0.273	76.134%
30	250000	0.017	98.293%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	4800000		7	0.797
50000	5000000		60	6.957
50000	6350000	93288050159209974529672151	2	0.259
50000	6750000		7	0.936

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-02T02:53:00	Smurgs	Praca	50000	5000000						3	0.348
2011-05-05T06:53:00	sannerud.com	Jens2010	50000	5000000						3	0.348
2013-07-25T02:12:00	Bruce	fx6840-21	50000	5000000						3	0.348
2016-01-08T02:57:01	Bruce	Desk7	50000	5000000						3	0.348
2017-06-22T22:32:32	he4var		50000	5000000						3	0.348
2019-11-11T23:54:20	Claude Portenier	Petit-Idiot	50000	5000000						3	0.348
2020-09-17T19:25:12	mnd9	libproj	50000	5000000						7	0.812
2020-10-16T23:10:59	mnd9	221Lb	50000	5000000						7	0.812
2020-11-18T05:36:15	IanGlencross	glenx24	50000	5000000						7	0.812
2020-12-25T14:46:35	RIHATEC	i7-3770K	50000	5000000						7	0.812
2021-01-25T04:59:29	lycorn	colab_S_2	50000	6750000						7	0.936
2021-02-24T15:01:24	Zenzoma	AMD3970X	50000	5000000						7	0.812
2021-03-30T04:27:14	Denis Porva	Yrok	50000	5000000						7	0.812
2021-05-27T19:52:10	kutens	sol	50000	4800000						7	0.797
2021-06-28T13:34:35	kutens	canopus	50000	6350000	93288050159209974529672151	86.270	2	2	5647951741497183	2	0.259

date	userid	compid	res64	spent (GHz-days)
1999-08-16T00:00:00	Phantomas	v4_computers	644BA1AC5986308B	0.253
2018-10-18T03:23:46	kkmrkkblmbrbk	old	644BA1AC5986308B	0.253

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 = 1000000, B2 = 20000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 95000, B2 = 1995000 (P-1 stage 2)

B1 = 95000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 10000 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

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10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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10¹³

10¹⁴

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10¹⁸

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