M2390611 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	49.9399	68.1159%	3000000	100000000	0.8115	7.2263%	50.7514	70.4200%	2.3041%
PrimeNet	2⁵⁹	0.0321	62.7119%	10000	170000	0.0018	2.4778%	0.0340	63.6358%	0.9239%
GPU72	2⁶³	0.6676	65.0794%	10000	140000	0.0017	1.2738%	0.6693	65.5242%	0.4448%
Difference	+6	+49.2722	+3.0366%	+2990000	+99860000	+0.8099	+5.9525%	+50.0821	+4.8958%	+4.8958%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.187%
2010-11-08T11:36:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.169%
2010-11-15T22:51:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.219%
2010-12-25T02:47:00	markr	tiny	100000	2075000		-		-	-	0.020	-	-	2.151%
2014-09-15T22:12:00	ANONYMOUS	Manual testing	126848	126848		-		-	-	0.012	-	-	0.814%
2015-11-22T07:56:28	mikr	MSI	3000000	100000000	12	-		-	-	0.812	-	-	7.226%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-06-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.016	-	-
1999-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:13	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-16T02:31:00	Sturle Sunde	antonov.ifi	2⁶⁰	2⁶¹		-	-	0.064	-	-
2012-06-01T20:18:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.128	-	-
2013-01-23T08:27:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.411	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.821	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.563	-	-
2015-11-02T09:33:38	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.126	-	-
2017-06-23T15:59:17	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.252	-	-
2019-03-11T11:16:31	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.50	-	-
2021-06-17T12:14:45	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	25.01	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.941 GHz-days
Estimated T-Level:	22.911

Digits	B1	Curves	Complete	FacMiss
20	11000	166 / 100	1.660	18.856%
25	50000	163 / 280	0.582	55.812%

New Calculation Method

Total ECM effort:	14.941 GHz-days
Estimated T-Level:	22.911

Digits	B1	Complete	FacMiss
20	11000	6.398	0.167%
25	50000	0.591	55.366%
30	250000	0.037	96.337%
35	1000000	0.002	99.826%

ECM Summary

B1	B2	curves	GHz-days
50000	500000	3	0.166
50000	5000000	142	12.63
50000	6750000	21	2.142

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-03T17:27:00	CanSpice	nene	50000	5000000						3	0.267
2010-02-18T23:03:00	BobbyMK	Quaddl	50000	5000000						3	0.267
2010-03-08T11:22:00	Bud	annan	50000	500000						3	0.166
2010-03-09T07:50:00	Bud	annan	50000	5000000						1	0.089
2013-06-29T08:12:00	Xyzzy	J	50000	5000000						3	0.267
2015-04-07T06:41:00	Jason U	Server7	50000	5000000						3	0.267
2016-02-14T16:23:16	Hartmut Birr	C7CE7B89E	50000	5000000						3	0.267
2016-04-20T23:38:42	AnthonyRais	Main	50000	5000000						3	0.267
2016-08-14T09:36:52	Bruce	Desk6	50000	5000000						3	0.267
2017-02-06T01:10:35	Bruce	Desk6	50000	5000000						3	0.267
2017-09-16T02:35:27	Bruce	Desk6	50000	5000000						3	0.267
2018-02-19T01:12:37	Bruce	Desk6	50000	5000000						3	0.267
2018-08-15T09:52:04	Bruce	Desk6	50000	5000000						3	0.267
2020-03-31T11:45:25	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.267
2020-04-10T23:56:14	mnd9	libproj	50000	5000000						3	0.267
2020-04-22T22:57:18	Keysarecool	HPLaptop	50000	5000000						3	0.267
2020-04-30T13:26:03	nordi	sweet16	50000	5000000						3	0.267
2020-05-12T06:31:11	mnd9	50871b	50000	5000000						3	0.267
2020-05-26T11:44:02	alpertron	laptop3	50000	5000000						3	0.267
2020-06-14T20:16:01	daveward2005	MW	50000	5000000						3	0.267
2020-06-29T05:51:10	LaurV	3tits	50000	5000000						3	0.267
2020-07-05T13:51:22	GAN	LMS-12	50000	5000000						3	0.267
2020-07-12T14:56:19	mnd9	25836b	50000	5000000						3	0.267
2020-07-18T12:44:30	daveward2005	MW	50000	5000000						3	0.267
2020-07-24T03:02:50	GAN	LMS-12	50000	5000000						3	0.267
2020-07-31T03:45:14	GAN	LMS-02	50000	5000000						3	0.267
2020-08-07T20:18:06	GAN	LMS-11	50000	5000000						3	0.267
2020-08-16T08:38:47	GAN	LMS-12	50000	5000000						3	0.267
2020-09-13T15:20:42	mnd9	25836b	50000	5000000						7	0.623
2020-10-15T15:01:52	mnd9	75203b	50000	5000000						7	0.623
2020-11-13T07:41:02	mnd9	libproj	50000	5000000						7	0.623
2020-12-17T06:28:11	RIHATEC	i7-3770K	50000	5000000						7	0.623
2021-02-17T05:07:33	mnd9	office2	50000	5000000						7	0.623
2021-03-18T08:20:34	JHBatley	jhbatley-VB	50000	5000000						7	0.623
2021-03-20T22:04:31	Brett Walker	brain	50000	5000000						7	0.623
2021-06-15T13:31:57	LaurV	Zero818	50000	6750000						7	0.714
2021-06-20T16:46:46	LaurV	butu	50000	6750000						7	0.714
2021-06-24T07:39:50	LaurV	Manual testing	50000	6750000						7	0.714
2021-10-14T15:06:15	GAN	KL-SCH07	50000	5000000						7	0.623
2022-04-09T12:06:41	daveward2005	Dave2	50000	5000000						7	0.623

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

date	userid	compid	res64	spent (GHz-days)
1998-06-29T00:00:00	ANONYMOUS	v4_computers	7AF28E5EF816911C	0.161
1999-04-13T00:00:00	ANONYMOUS	v4_computers	7AF28E5EF816911C	0.161
2018-05-16T18:50:21	kkmrkkblmbrbk	old	7AF28E5EF816911C	0.161