M2175629 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	54.8746	68.1159%	5000000	200000000	1.4896	8.2813%	56.3642	70.7564%	2.6404%
PrimeNet	2⁵⁸	0.0176	62.0690%	10000	180000	0.0018	2.8572%	0.0195	63.1527%	1.0838%
GPU72	2⁶²	0.2824	64.5161%	11000	160000	0.0018	1.5681%	0.2842	65.0726%	0.5564%
Difference	+7	+54.5922	+3.5998%	+4989000	+199840000	+1.4877	+6.7132%	+56.0800	+5.6838%	+5.6838%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-07T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.182%
2010-11-05T01:17:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.165%
2010-11-07T21:16:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.300%
2011-01-15T06:49:00	markr	tiny	90000	1620000		-		-	-	0.017	-	-	1.949%
2014-06-13T02:40:00	Jocelyn Larouche	Manual testing	119501	119501		-		-	-	0.011	-	-	0.773%
2014-10-05T22:22:00	Jocelyn Larouche	Manual testing	149002	149002		-		-	-	0.014	-	-	0.878%
2015-12-22T14:03:56	HBendtz	Manual testing	700000	21000000	12	-		-	-	0.172	-	-	4.735%
2019-11-18T18:51:55	mikr	MSI	5000000	200000000	12	-		-	-	1.490	-	-	8.281%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:07	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.053	-	-
2009-01-04T18:39:00	Sturle Sunde	antonov.ifi	2⁶⁰	2⁶¹		-	-	0.071	-	-
2009-01-06T22:35:00	Sturle Sunde	gonsha.ifi	2⁶¹	2⁶²		-	-	0.141	-	-
2013-01-23T08:20:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.451	-	-
2015-03-25T10:09:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.902	-	-
2015-03-25T10:09:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.717	-	-
2016-01-02T13:50:57	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.435	-	-
2016-11-17T17:00:11	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.869	-	-
2019-04-29T13:20:33	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.74	-	-
2021-07-15T09:28:28	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	27.48	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.184 GHz-days
Estimated T-Level:	23.554

Digits	B1	Curves	Complete	FacMiss
20	11000	199 / 100	1.990	13.533%
25	50000	199 / 280	0.711	49.067%

New Calculation Method

Total ECM effort:	17.184 GHz-days
Estimated T-Level:	23.554

Digits	B1	Complete	FacMiss
20	11000	7.699	0.045%
25	50000	0.712	49.052%
30	250000	0.045	95.604%
35	1000000	0.002	99.790%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	178	15.22
50000	5150000	7	0.606
50000	6617047	7	0.678
50000	6750000	7	0.684

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-04T14:24:00	bayanne	MacBook	50000	5000000						3	0.256
2009-12-05T22:02:00	SubPrime	abd0	50000	5000000						3	0.256
2011-08-30T16:54:00	Lukasz Wrobel	WORK_lupo	50000	5000000						3	0.256
2013-05-12T23:04:00	Xyzzy	J	50000	5000000						3	0.256
2015-02-26T14:03:00	OS1	L3	50000	5000000						3	0.256
2015-11-08T12:10:21	Wolfgang Fluck	C91F72025	50000	5000000						3	0.256
2016-03-05T05:38:02	Bruce	Desk6	50000	5000000						3	0.256
2016-06-23T00:21:46	Jason U	Server7	50000	5000000						3	0.256
2016-10-21T13:19:14	Bruce	Desk6	50000	5000000						3	0.256
2017-04-04T17:28:13	Bruce	Desk6	50000	5000000						3	0.256
2017-10-30T22:55:43	Conductor	Sasha	50000	5000000						3	0.256
2018-03-08T19:26:52	Bruce	Desk6	50000	5000000						3	0.256
2018-08-22T17:16:28	-Anonymous-	Kitchen	50000	5000000						3	0.256
2020-01-27T12:41:14	Claude Portenier	Petit-Idiot	50000	5000000						3	0.256
2020-02-02T15:51:24	Keysarecool	HPLaptop	50000	5000000						3	0.256
2020-02-11T19:35:41	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.256
2020-02-23T21:15:56	mnd9	75201b	50000	5000000						3	0.256
2020-02-25T15:04:02	mnd9	75201b	50000	5000000						3	0.256
2020-03-03T15:58:19	mnd9	75211backdoorb	50000	5000000						3	0.256
2020-03-09T15:08:37	EricP	Cannonfodder	50000	5000000						3	0.256
2020-03-17T22:50:01	mnd9	colab	50000	5000000						3	0.256
2020-03-27T14:19:49	Keysarecool	Boat_Anchor	50000	5000000						3	0.256
2020-04-08T21:05:40	nordi	sweet16	50000	5000000						3	0.256
2020-04-21T21:46:59	Keysarecool	Boat_Anchor	50000	5000000						3	0.256
2020-04-29T04:44:51	mnd9	eileen	50000	5000000						3	0.256
2020-05-09T20:40:03	Greg Hogan	azure4	50000	5000000						3	0.256
2020-05-24T06:44:43	mnd9	office2	50000	5000000						3	0.256
2020-06-13T14:14:39	GAN	KL-SCH09	50000	5000000						3	0.256
2020-07-01T02:25:33	MarkS	desktop-i7	50000	5000000						3	0.256
2020-07-04T16:59:12	GAN	AC-KL	50000	5000000						3	0.256
2020-07-11T08:25:12	GAN	OSK-01	50000	5000000						3	0.256
2020-07-17T00:09:54	GAN	LMS-01	50000	5000000						3	0.256
2020-07-23T04:54:41	GAN	LMS-06	50000	5000000						3	0.256
2020-07-30T02:44:27	GAN	LMS-01	50000	5000000						3	0.256
2020-08-06T14:38:42	GAN	LMS-03	50000	5000000						3	0.256
2020-08-14T22:41:12	GAN	LMS-11	50000	5000000						3	0.256
2020-09-08T23:28:15	M. R. Mayer	nimbus	50000	5000000						7	0.598
2020-10-17T02:51:56	mnd9	50871b	50000	5000000						7	0.598
2020-11-08T01:01:42	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.598
2020-12-12T22:03:43	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.598
2021-01-14T11:56:36	RIHATEC	i7-3770K	50000	5000000						7	0.598
2021-02-13T11:57:47	mnd9	kitchen	50000	5000000						7	0.598
2021-04-23T10:37:07	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.598
2021-05-13T10:40:23	kutens	capella	50000	5150000						7	0.606
2021-07-23T16:42:32	kutens	canopus	50000	6750000						7	0.684
2021-08-11T15:19:14	Alvin Bunk	BADCAT	50000	5000000						7	0.598
2021-10-06T15:05:53	GAN	KL-SCH09	50000	5000000						7	0.598
2021-12-29T16:29:10	Samuel Schmidt	arch	50000	6617047						7	0.678
2022-04-23T13:19:53	daveward2005	Dave2	50000	5000000						7	0.598

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)
1999-03-15T00:00:00	Ethan O'Connor	v4_computers	B2B4B39A535597E6	0.143
2018-04-12T20:57:23	kkmrkkblmbrbk	old	B2B4B39A535597E6	0.143