M2147737 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	27.7524	67.6471%	3981446	123424840	1.0000	8.1859%	28.7524	70.2954%	2.6484%
PrimeNet	2⁵⁸	0.0179	62.0690%	9000	170000	0.0017	2.7332%	0.0196	63.1057%	1.0367%
GPU72	2⁶²	0.2861	64.5161%	10000	150000	0.0017	1.4886%	0.2877	65.0444%	0.5282%
Difference	+6	+27.4664	+3.1309%	+3971446	+123274840	+0.9983	+6.6973%	+28.4647	+5.2511%	+5.2511%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2147737	1383214350807652489316537	25	80.194	322016697297586364 2² × 19 × 4237061806547189	2020-08-04	19	4237061806547189	159,517	22,008,358	41,105,484

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	-	-	0.225%
2010-11-03T21:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.254%
2010-12-30T22:20:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.353%
2011-01-13T23:58:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.512%
2011-01-22T00:40:00	James Heinrich	i7-920	130000	2632500		-		-	-	0.025	-	-	2.655%
2014-11-03T03:43:00	Jocelyn Larouche	Manual testing	159885	159885		-		-	-	0.015	-	-	1.044%
2016-06-07T06:22:16	Jocelyn Larouche	Manual testing	175873	5265000	6	-		-	-	0.043	-	-	3.265%
2017-04-22T17:25:09	Jocelyn Larouche	low 4M	351746	3517460	6	-		-	-	0.050	-	-	3.301%
2017-04-27T01:16:35	nordi	Manual testing	3981446	123424840	12	-		-	-	1.000	-	-	8.186%
2017-04-27T04:20:43	Jocelyn Larouche	low 4M	422095	4220950	6	-		-	-	0.060	-	-	3.521%
2017-05-08T05:55:47	Jocelyn Larouche	low 4M	506514	5065140	6	-		-	-	0.072	-	-	3.747%
2017-05-13T16:00:10	Jocelyn Larouche	low 4M	607816	6078160	6	-		-	-	0.086	-	-	3.981%

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		-	-	0.054	-	-
2009-01-05T07:18:00	Sturle Sunde	ginjtje.ifi	2⁶⁰	2⁶¹		-	-	0.072	-	-
2009-01-08T10:24:00	Sturle Sunde	buxtehude.ifi	2⁶¹	2⁶²		-	-	0.143	-	-
2013-09-07T11:35:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.457	-	-
2015-03-18T10:56:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.914	-	-
2015-03-18T10:56:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.740	-	-
2016-02-15T06:01:01	Yxinity	Manual testing	2⁶⁵	2⁶⁶		-	-	3.479	-	-
2016-10-29T15:24:12	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.959	-	-
2019-04-15T13:43:11	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.92	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.131 GHz-days
Estimated T-Level:	21.911

Digits	B1	Curves	Complete	FacMiss
20	11000	107 / 100	1.070	34.117%
25	50000	107 / 280	0.382	68.193%

New Calculation Method

Total ECM effort:	9.131 GHz-days
Estimated T-Level:	21.911

Digits	B1	Complete	FacMiss
20	11000	4.115	1.632%
25	50000	0.381	68.333%
30	250000	0.024	97.627%
35	1000000	0.001	99.888%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		105	8.961
50000	5000000	1383214350807652489316537	2	0.171

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-20T02:08:00	alan145	Bear4	50000	5000000						3	0.256
2009-11-27T17:30:00	ANONYMOUS	fn-asterisk	50000	5000000						3	0.256
2011-08-10T11:51:00	Beat Bucheli	I7	50000	5000000						3	0.256
2013-04-24T15:49:00	Donna Noble	opt4820	50000	5000000						3	0.256
2015-01-09T17:19:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.256
2016-02-14T22:21:04	69-bit_color_depth	69-bit_toaster	50000	5000000						3	0.256
2016-02-28T15:57:51	Bruce	Desk6	50000	5000000						3	0.256
2016-06-16T10:13:19	Jason U	Server7	50000	5000000						3	0.256
2016-09-23T17:29:23	ANONYMOUS	Gorby	50000	5000000						3	0.256
2017-03-17T20:37:51	Bruce	Desk6	50000	5000000						3	0.256
2017-10-09T02:18:55	Bruce	Desk6	50000	5000000						3	0.256
2018-02-16T03:00:18	Bruce	Desk6	50000	5000000						3	0.256
2018-07-29T15:34:08	Bruce	Desk6	50000	5000000						3	0.256
2019-10-17T22:59:57	monsted	rootweiler	50000	5000000						3	0.256
2020-01-27T22:10:32	cappy95833	HomePC	50000	5000000						3	0.256
2020-02-01T12:19:56	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.256
2020-02-09T00:47:05	daveward2005	Davy	50000	5000000						3	0.256
2020-02-16T23:15:57	mnd9	f4b	50000	5000000						3	0.256
2020-02-23T17:51:04	IanGlencross	glenx24	50000	5000000						3	0.256
2020-03-01T18:43:19	Alvin Bunk	BADCAT	50000	5000000						3	0.256
2020-03-07T13:31:53	EricP	Cannonfodder	50000	5000000						3	0.256
2020-03-15T04:38:47	MarkS	laptop64	50000	5000000						3	0.256
2020-03-23T15:15:32	EricP	Cannonfodder	50000	5000000						3	0.256
2020-04-05T02:39:34	EricP	Cannonfodder	50000	5000000						3	0.256
2020-04-20T06:10:58	nordi	sweet16	50000	5000000						3	0.256
2020-04-27T14:02:25	Sergey Nosov	TS140-02	50000	5000000						3	0.256
2020-05-06T09:29:50	mnd9	eileen	50000	5000000						3	0.256
2020-05-19T08:54:21	daveward2005	MW	50000	5000000						3	0.256
2020-06-06T20:09:45	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.256
2020-06-23T16:55:09	GAN	PG-HP	50000	5000000						3	0.256
2020-07-02T17:23:16	GAN	LMS-15	50000	5000000						3	0.256
2020-07-09T20:56:39	mnd9	libproj	50000	5000000						3	0.256
2020-07-15T07:25:57	GAN	GAN-HP	50000	5000000						3	0.256
2020-07-22T01:14:10	mnd9	libproj	50000	5000000						3	0.256
2020-07-27T23:31:07	mnd9	75204	50000	5000000						3	0.256
2020-08-04T20:44:11	rextherunt	ice	50000	5000000	1383214350807652489316537	80.194	2	2		2	0.171

date	userid	compid	res64	spent (GHz-days)
1999-02-14T00:00:00	ANONYMOUS	v4_computers	2DA08BA0A827161C	0.141
2018-04-08T19:03:05	kkmrkkblmbrbk	old	2DA08BA0A827161C	0.141

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 = 3981446, B2 = 123424840 (P-1 stage 2)

B1 = 3981446 (P-1 stage 1)

B1 = 607816, B2 = 6078160 (P-1 stage 2)

B1 = 506514, B2 = 5065140 (P-1 stage 2)

B1 = 422095, B2 = 4220950 (P-1 stage 2)

B1 = 607816 (P-1 stage 1)

B1 = 351746, B2 = 3517460 (P-1 stage 2)

B1 = 506514 (P-1 stage 1)

B1 = 175873, B2 = 5265000 (P-1 stage 2)

B1 = 422095 (P-1 stage 1)

B1 = 351746 (P-1 stage 1)

B1 = 130000, B2 = 2632500 (P-1 stage 2)

B1 = 175873 (P-1 stage 1)

B1 = 159885 (P-1 stage 1)

B1 = 130000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

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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