M1740821 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	34.2395	69.1176%	1740821	191490310	0.9502	7.9811%	35.1897	71.5824%	2.4647%
PrimeNet	2⁵⁷	0.0110	63.1579%	8000	140000	0.0012	2.7997%	0.0122	64.1894%	1.0315%
GPU72	2⁶¹	0.1765	65.5738%	8000	110000	0.0011	1.4111%	0.1775	66.0596%	0.4858%
Difference	+7	+34.0631	+3.5439%	+1732821	+191380310	+0.9491	+6.5700%	+35.0122	+5.5228%	+5.5228%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1740821	34247778430771140794970193	26	84.824	9836674313663248776 2³ × 3² × 163 × 838162432997891	2020-06-25	163	838162432997891	3,466,487	3,592,155	6,709,145

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-10T16:23:00	Carsten Kossendey	leela	95000	1543750		-		-	-	0.014	-	-	2.126%
2014-04-05T13:21:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.769%
2014-05-06T10:52:00	Jocelyn Larouche	Manual testing	136870	136870		-		-	-	0.011	-	-	0.923%
2014-09-11T21:44:00	Jocelyn Larouche	Manual testing	173740	173740		-		-	-	0.014	-	-	1.053%
2014-12-02T21:55:00	Jocelyn Larouche	Manual testing	210610	210610		-		-	-	0.017	-	-	1.165%
2015-04-13T13:01:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.315%
2018-08-06T14:03:29	Jocelyn Larouche	low 4M	1740821	174082100	12	-		-	-	0.876	-	-	7.874%
2018-10-18T10:38:30	Jocelyn Larouche	low 4M	1740821	191490310	12	-		-	-	0.950	-	-	7.981%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-02-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.066	-	-
2010-04-20T13:12:00	Architects Cubed	m1_fw	2⁶⁰	2⁶¹		-	-	0.088	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.176	-	-
2010-11-18T02:51:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.917	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.564	-	-
2015-05-12T05:08:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.128	-	-
2015-05-12T05:08:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.146	-	-
2015-09-04T17:59:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.293	-	-
2018-01-22T18:13:16	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.585	-	-
2019-07-31T09:42:07	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.17	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.791 GHz-days
Estimated T-Level:	24.625

Digits	B1	Curves	Complete	FacMiss
20	11000	259 / 100	2.590	7.405%
25	50000	259 / 280	0.925	39.588%

New Calculation Method

Total ECM effort:	17.791 GHz-days
Estimated T-Level:	24.625

Digits	B1	Complete	FacMiss
20	11000	9.962	0.005%
25	50000	0.922	39.784%
30	250000	0.058	94.352%
35	1000000	0.003	99.729%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		257	17.65
50000	5000000	34247778430771140794970193	2	0.137

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-17T22:24:00	Team_Bundu	bundu4	50000	5000000						3	0.206
2009-10-03T18:43:00	SubPrime	abd0	50000	5000000						3	0.206
2010-08-14T10:36:00	Kamil_Górski	thefault	50000	5000000						3	0.206
2012-01-02T11:06:00	OS1	L3	50000	5000000						3	0.206
2013-05-13T08:29:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-12T09:33:00	Bruce	snowflake	50000	5000000						3	0.206
2014-12-04T14:00:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-07-29T07:37:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-12-21T12:58:22	guru	h1	50000	5000000						3	0.206
2016-03-12T01:42:12	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-04-27T03:32:57	Bruce	DESK3	50000	5000000						3	0.206
2016-07-26T04:08:35	Bruce	DESK3	50000	5000000						3	0.206
2016-09-29T07:27:26	Bruce	DESK3	50000	5000000						3	0.206
2017-06-14T20:06:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-06-20T04:03:13	ANONYMOUS	Worker	50000	5000000						3	0.206
2017-07-21T15:06:42	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-12-16T06:40:54	Bruce	DESK3	50000	5000000						3	0.206
2018-02-11T17:30:36	Bruce	DESK3	50000	5000000						3	0.206
2019-11-17T08:47:51	mnd9	dlounge	50000	5000000						3	0.206
2019-11-18T04:07:10	mnd9	dlounge	50000	5000000						3	0.206
2019-11-19T22:10:07	Corey	Computer	50000	5000000						3	0.206
2019-11-20T00:24:09	George Woltman	kaggle1	50000	5000000						3	0.206
2019-11-25T03:10:02	Nesowa	6700T	50000	5000000						3	0.206
2019-11-25T10:03:08	mnd9	50869b	50000	5000000						3	0.206
2019-11-27T01:21:33	Alvin Bunk	i7-Core	50000	5000000						3	0.206
2019-11-30T19:52:24	Keysarecool	HPLaptop	50000	5000000						3	0.206
2019-12-04T07:26:10	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2019-12-09T04:13:31	mnd9	50871b	50000	5000000						3	0.206
2019-12-13T06:28:02	mnd9	75211cornerb	50000	5000000						3	0.206
2019-12-18T01:20:32	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2019-12-24T17:21:35	cappy95833	HomePC	50000	5000000						3	0.206
2019-12-29T18:14:09	TheJudger	myECM	50000	5000000						3	0.206
2020-01-03T11:35:37	TheJudger	myECM	50000	5000000						3	0.206
2020-01-10T00:58:34	mnd9	221Rb	50000	5000000						3	0.206
2020-01-19T01:38:01	Corey	Computer	50000	5000000						3	0.206
2020-01-28T07:53:48	cappy95833	HomePC	50000	5000000						3	0.206
2020-01-31T07:55:17	Keysarecool	HPLaptop	50000	5000000						3	0.206
2020-02-09T22:11:21	David_McCann	i5	50000	5000000						3	0.206
2020-02-16T18:42:01	Pawel Samoraj	pc	50000	5000000						3	0.206
2020-02-24T03:22:29	Keysarecool	HPLaptop	50000	5000000						3	0.206
2020-03-02T08:42:24	MarkS	laptop64	50000	5000000						3	0.206
2020-03-09T06:07:17	Corey	Computer	50000	5000000						3	0.206
2020-03-16T00:22:59	mnd9	75211backdoorb	50000	5000000						3	0.206
2020-03-24T10:43:04	EricP	Cannonfodder	50000	5000000						3	0.206
2020-04-05T22:48:22	mnd9	colab2	50000	5000000						3	0.206
2020-04-20T07:39:21	mnd9	50871b	50000	5000000						3	0.206
2020-04-27T13:58:36	Oliver Kruse	Melissa	50000	5000000						3	0.206
2020-05-07T14:33:28	mnd9	libproj	50000	5000000						3	0.206
2020-05-19T22:59:10	quantizedSpacetime	zach	50000	5000000						3	0.206
2020-06-08T11:52:20	MarkS	laptop64	50000	5000000						3	0.206
2020-06-25T15:29:59	debrouxl	8rd	50000	5000000	34247778430771140794970193	84.824	2	2		2	0.137
2020-06-29T11:34:58	TJAOI	Manual testing	50000	5000000						107	7.350

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)
1999-01-10T00:00:00	ANONYMOUS	v4_computers	D3D1D3A9BE590EB0	0.094
2015-06-27T00:56:00	MadPoo	Manual testing	D3D1D3A9BE590EB0	0.094