M2517587 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	2⁷⁰	94.9126	68.5714%	5000000	8936884110	49.4454	12.2390%	144.3579	72.4180%	3.8465%
Target	2⁶³	0.6339	65.0794%	11000	170000	0.0020	1.4095%	0.6359	65.5716%	0.4922%
Difference	+7	+94.2786	+3.4921%	+4989000	+8936714110	+49.4434	+10.8295%	+143.7220	+6.8464%	+3.3543%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2517587	117295572556817346496322272724879606839	39	126.463	23295237176871612876997353562137 3² × 71 × 419 × 130657 × 1727911 × 1826899 × 210952009	2023-01-23	1826899	210952009	6.124e+10	1.3296	2.1589

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-23T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.152%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	236250		-		-	-	0.003	-	-	0.579%
2010-12-19T21:41:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.185%
2011-01-01T13:19:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.262%
2011-01-06T01:06:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.387%
2011-03-04T07:33:00	James Heinrich	i7-920	300000	8000000		-		-	-	0.072	-	-	3.208%
2017-11-01T21:31:23	Jocelyn Larouche	low 4M	600000	6000000	6	-		-	-	0.090	-	-	3.307%
2018-04-25T06:53:46	mikr	MSI	3000000	135000000	12	-		-	-	1.025	-	-	7.013%
2023-01-23T09:35:45	Architects Cubed	gpu72ng	5000000	8936884110			117295572556817346496322272724879606839	39	126.463	49.45	0.349	98.89	12.239%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-03-09T00:00:00	Denis Clave	v4_computers	2¹	2⁵⁸		-	-	0.015	-	-
1999-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-30T23:35:00	Sturle Sunde	gigotte.ifi	2⁶⁰	2⁶¹		-	-	0.061	-	-
2012-06-13T11:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.122	-	-
2013-01-23T08:30:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.390	-	-
2015-02-18T11:36:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.780	-	-
2015-02-18T11:36:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.484	-	-
2015-11-06T09:16:18	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.968	-	-
2017-07-31T22:29:10	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.936	-	-
2019-04-29T13:20:23	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.87	-	-
2021-05-27T10:39:08	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	23.75	-	-
2022-12-18T03:50:02	Architects Cubed	GPU72_TF	2⁶⁹	2⁷⁰		-	-	47.49	-	-

ECM factoring results:

Total ECM effort:	15.565 GHz-days
Estimated T-Level:	23.000

Digits	B1	Complete	FacMiss
20	11000	6.484	0.153%
25	50000	0.600	54.878%
30	250000	0.038	96.284%
35	1000000	0.002	99.823%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	154	14.17
50000	5150000	7	0.652
50000	6750000	7	0.740

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-24T17:10:00	oodaira	Win02	50000	5000000						3	0.276
2010-04-15T00:31:00	Lupo	yorick	50000	5000000						3	0.276
2012-11-02T13:47:00	Donna Noble	i3-2100t	50000	5000000						3	0.276
2014-03-16T03:49:00	Bruce	snowflake	50000	5000000						3	0.276
2015-07-30T18:21:00	guru	w6	50000	5000000						3	0.276
2016-03-01T11:11:46	arnaud	CHAMOT09	50000	5000000						3	0.276
2016-07-05T14:56:28	lettp	Home	50000	5000000						3	0.276
2017-04-21T18:02:55	deo2016	deo2016.home.new	50000	5000000						3	0.276
2017-09-15T10:42:48	Lelikoid	QH	50000	5000000						3	0.276
2018-01-15T19:35:01	storm5510	Athlon2x4	50000	5000000						3	0.276
2018-10-02T17:18:41	Dextronix	Dex	50000	5000000						3	0.276
2020-05-15T22:59:37	Keysarecool	HPLaptop	50000	5000000						3	0.276
2020-06-03T01:40:22	mnd9	25836b	50000	5000000						3	0.276
2020-06-23T16:06:56	pavlp	puputer	50000	5000000						3	0.276
2020-07-01T12:46:23	GAN	LMS-18	50000	5000000						3	0.276
2020-07-08T04:41:15	GAN	LMS-12	50000	5000000						3	0.276
2020-07-14T09:35:44	GAN	PG-HP	50000	5000000						3	0.276
2020-07-20T10:44:45	GAN	LMS-04	50000	5000000						3	0.276
2020-07-26T20:28:41	GAN	LMS-16	50000	5000000						3	0.276
2020-08-03T03:46:25	MarkS	desktop-i7	50000	5000000						3	0.276
2020-08-11T00:17:57	GAN	LMS-14	50000	5000000						3	0.276
2020-08-27T19:34:46	daveward2005	MW	50000	5000000						7	0.644
2020-09-30T18:42:35	rextherunt	ice	50000	5000000						7	0.644
2020-10-26T07:22:44	daveward2005	Dave2	50000	5000000						7	0.644
2020-11-30T23:02:41	daveward2005	Dave2	50000	5000000						7	0.644
2021-01-03T04:47:36	Zenzoma	AMD3970X	50000	5000000						7	0.644
2021-02-02T22:11:04	Zenzoma	AMD3970X	50000	5000000						7	0.644
2021-03-04T20:15:36	mnd9	office2	50000	5000000						7	0.644
2021-04-10T00:21:49	mnd9	50869	50000	5000000						7	0.644
2021-05-31T01:25:23	kutens	arcturus	50000	5150000						7	0.652
2021-07-12T07:32:42	GAN	KL-SCH02	50000	5000000						7	0.644
2021-08-28T15:07:06	Kamil Mudrunka	LinuxServer	50000	5000000						7	0.644
2021-11-12T21:57:57	mnd9	50871b	50000	5000000						7	0.644
2022-03-02T23:00:44	Stef42	AMD-DESKTOP	50000	6750000						7	0.740
2022-06-18T00:50:13	daveward2005	Dave2	50000	5000000						7	0.644
2022-09-20T11:45:45	RIHATEC	i7-3770K	50000	5000000						7	0.644

date	userid	compid	res64	spent (GHz-days)
1998-03-09T00:00:00	Denis Clave	v4_computers	BA02138BD797D960	0.175
1999-04-13T00:00:00	ANONYMOUS	v4_computers	BA02138BD797D960	0.175
2018-06-05T10:32:22	kkmrkkblmbrbk	old	BA02138BD797D960	0.175

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 = 5000000, B2 = 8936884110 (P-1 stage 2)

B1 = 3000000, B2 = 135000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 3000000 (P-1 stage 1)

B1 = 600000, B2 = 6000000 (P-1 stage 2)

B1 = 300000, B2 = 8000000 (P-1 stage 2)

B1 = 600000 (P-1 stage 1)

B1 = 300000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 236250 (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

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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