M1960369 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	30.4049	69.1176%	1960369	245046125	1.1960	8.4544%	31.6009	71.7286%	2.6109%
PrimeNet	2⁵⁸	0.0196	63.7931%	8000	140000	0.0012	2.4693%	0.0208	64.6872%	0.8941%
GPU72	2⁶²	0.3134	66.1290%	8000	90000	0.0010	1.1544%	0.3144	66.5200%	0.3910%
Difference	+6	+30.0915	+2.9886%	+1952369	+244956125	+1.1950	+7.3000%	+31.2866	+5.2085%	+5.2085%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1960369	431940754659522344464391	24	78.515	110168227170375155 5 × 89923 × 245027917597	2020-07-02	89923	245027917597	41,197	1,050.1	1,961.3

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-04-01T11:42:00	kurly	slice	1000000	30000000		-		-	-	0.203	-	-	5.699%
2018-01-21T13:13:17	Jocelyn Larouche	low 4M	1000000	1000000		-		-	-	0.079	-	-	2.382%
2018-01-29T00:25:53	Jocelyn Larouche	low 4M	1960369	30000000	12	-		-	-	0.274	-	-	6.055%
2018-02-13T16:46:32	Jocelyn Larouche	low 4M	1960369	60000000	12	-		-	-	0.403	-	-	6.840%
2018-03-04T11:00:58	Jocelyn Larouche	low 4M	1960369	120000000	12	-		-	-	0.660	-	-	7.632%
2018-05-16T11:47:04	Jocelyn Larouche	low 4M	1960369	196036900	12	-		-	-	0.986	-	-	8.197%
2018-11-26T12:53:59	Jocelyn Larouche	Manual testing	1960369	245046125	12	-		-	-	1.196	-	-	8.454%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-10T13:35:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.078	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.157	-	-
2011-08-27T22:19:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.814	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.501	-	-
2015-04-19T19:54:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.002	-	-
2015-04-19T19:54:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.906	-	-
2015-09-08T08:29:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.812	-	-
2018-01-08T13:22:30	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.624	-	-
2019-05-14T00:32:09	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.25	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.285 GHz-days
Estimated T-Level:	22.125

Digits	B1	Curves	Complete	FacMiss
20	11000	119 / 100	1.190	30.240%
25	50000	119 / 280	0.425	65.327%

New Calculation Method

Total ECM effort:	8.285 GHz-days
Estimated T-Level:	22.125

Digits	B1	Complete	FacMiss
20	11000	3.839	2.152%
25	50000	0.347	70.685%
30	250000	0.021	97.886%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		117	8.146
50000	5000000	431940754659522344464391	2	0.139

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-19T02:07:00	mognuts	rookery	50000	5000000						3	0.209
2009-08-18T08:13:00	SubPrime	abd0	50000	5000000						3	0.209
2011-01-22T20:58:00	Richard Kint	Desktop	50000	5000000						3	0.209
2013-01-03T11:50:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.209
2014-01-15T03:36:00	OS1	L3	50000	5000000						3	0.209
2015-05-29T11:00:00	OS1	L3	50000	5000000						3	0.209
2016-02-10T04:22:32	Jason U	Server7	50000	5000000						3	0.209
2016-03-21T01:55:30	Jason U	Server7	50000	5000000						3	0.209
2016-06-30T19:25:43	Bruce	test	50000	5000000						3	0.209
2016-10-16T09:38:26	Bruce	Desk6	50000	5000000						3	0.209
2017-06-06T14:57:03	Bruce	Desk6	50000	5000000						3	0.209
2017-09-18T17:31:06	Bruce	Desk6	50000	5000000						3	0.209
2018-01-20T16:58:16	Bruce	Desk6	50000	5000000						3	0.209
2018-06-18T06:51:10	Bruce	Desk6	50000	5000000						3	0.209
2019-04-22T21:17:33	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-09T13:21:04	Corey	Computer	50000	5000000						3	0.209
2019-12-12T05:51:16	Nesowa	6700T	50000	5000000						3	0.209
2019-12-17T22:27:14	Nesowa	6700T	50000	5000000						3	0.209
2019-12-23T08:04:32	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2019-12-29T02:23:48	MarkS	desktop-i7	50000	5000000						3	0.209
2020-01-02T19:16:48	Keysarecool	HPLaptop	50000	5000000						3	0.209
2020-01-09T14:20:51	mnd9	27016	50000	5000000						3	0.209
2020-01-17T17:35:52	Brett Walker	brain	50000	5000000						3	0.209
2020-01-22T13:33:36	EricP	Cannonfodder	50000	5000000						3	0.209
2020-01-30T02:34:34	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-02-07T22:36:37	J.R. Allen	lapacer-kubuntu	50000	5000000						3	0.209
2020-02-15T19:21:34	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-02-22T20:37:28	cappy95833	HomePC	50000	5000000						3	0.209
2020-02-29T15:37:11	daveward2005	Davy	50000	5000000						3	0.209
2020-03-06T17:57:00	EricP	Cannonfodder	50000	5000000						3	0.209
2020-03-14T03:18:20	IanGlencross	glenx24	50000	5000000						3	0.209
2020-03-22T03:42:05	Keysarecool	HPLaptop	50000	5000000						3	0.209
2020-04-03T23:37:21	cappy95833	HomePC	50000	5000000						3	0.209
2020-04-17T12:58:05	EricP	Cannonfodder	50000	5000000						3	0.209
2020-04-26T07:12:54	EricP	Cannonfodder	50000	5000000						3	0.209
2020-05-04T21:20:06	mnd9	eileen	50000	5000000						3	0.209
2020-05-16T18:45:28	Keysarecool	HPLaptop	50000	5000000						3	0.209
2020-06-03T23:57:56	alpertron	laptop3	50000	5000000						3	0.209
2020-06-22T12:50:40	MarkS	desktop-i7	50000	5000000						3	0.209
2020-07-02T10:17:43	mnd9	25836b	50000	5000000	431940754659522344464391	78.515	2	2	4800525657512781	2	0.139

date	userid	compid	res64	spent (GHz-days)
1998-12-27T00:00:00	ANONYMOUS	v4_computers	40CAD1142E9EC5AD	0.106
2015-07-12T18:10:00	MadPoo	Manual testing	40CAD1142E9EC5AD	0.106

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 = 1960369, B2 = 245046125 (P-1 stage 2)

B1 = 1960369, B2 = 196036900 (P-1 stage 2)

B1 = 1960369, B2 = 120000000 (P-1 stage 2)

B1 = 1960369, B2 = 60000000 (P-1 stage 2)

B1 = 1960369, B2 = 30000000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1960369 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10³

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10¹⁰

10¹¹

10¹²

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