M2062483 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	57.8850	69.5652%	13252751	221101820940	1,149.6528	17.9831%	1,207.5378	75.0383%	5.4731%
PrimeNet	2⁵⁸	0.0186	63.7931%	9000	160000	0.0016	2.6687%	0.0203	64.7594%	0.9662%
GPU72	2⁶²	0.2979	66.1290%	9000	130000	0.0015	1.3653%	0.2994	66.5915%	0.4625%
Difference	+7	+57.5871	+3.4362%	+13243751	+221101690940	+1,149.6513	+16.6178%	+1,207.2384	+8.4469%	+8.4469%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-24T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.179%
2009-06-22T20:57:00	harlee	T7500_2200	20000	260000		-		-	-	0.003	-	-	0.750%
2010-12-26T02:29:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.296%
2011-01-06T01:06:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.435%
2011-01-21T13:30:00	James Heinrich	i7-920	135000	2902500		-		-	-	0.027	-	-	2.421%
2014-10-28T23:25:00	Jocelyn Larouche	Manual testing	166120	166120		-		-	-	0.016	-	-	0.925%
2016-06-26T11:04:16	Jocelyn Larouche	Manual testing	182732	5805000	12	-		-	-	0.047	-	-	2.989%
2016-09-29T01:45:04	Jocelyn Larouche	low 4M	182732	13932000	12	-		-	-	0.089	-	-	3.554%
2016-11-04T00:18:42	Jocelyn Larouche	low 4M	219278	219278		-		-	-	0.021	-	-	1.074%
2016-11-04T12:39:36	Jocelyn Larouche	low 4M	263133	263133		-		-	-	0.025	-	-	1.180%
2016-11-07T03:11:26	Jocelyn Larouche	low 4M	315759	315759		-		-	-	0.030	-	-	1.293%
2017-02-23T14:44:20	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.260%
2022-04-23T13:45:20	Ryan Propper	Manual testing	13252751	221101820940		-		-	-	1,150	-	-	17.983%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
1999-04-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:04	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.056	-	-
2009-01-02T21:23:00	Sturle Sunde	gowin.ifi	2⁶⁰	2⁶¹		-	-	0.074	-	-
2012-03-13T20:44:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.149	-	-
2013-09-01T20:20:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.476	-	-
2015-03-28T18:03:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.952	-	-
2015-03-28T18:03:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.812	-	-
2015-11-03T10:10:02	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.623	-	-
2016-08-29T15:06:17	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.246	-	-
2019-03-25T04:48:55	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.49	-	-
2021-08-26T09:33:40	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	28.99	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.303 GHz-days
Estimated T-Level:	23.589

Digits	B1	Curves	Complete	FacMiss
20	11000	201 / 100	2.010	13.264%
25	50000	201 / 280	0.718	48.717%

New Calculation Method

Total ECM effort:	17.303 GHz-days
Estimated T-Level:	23.589

Digits	B1	Complete	FacMiss
20	11000	7.781	0.042%
25	50000	0.721	48.624%
30	250000	0.046	95.543%
35	1000000	0.002	99.786%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	193	16.39
50000	6750000	7	0.679
76620	23259610	1	0.238

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-10T11:42:00	SubPrime	dijkstra	50000	5000000						3	0.255
2009-10-26T16:40:00	James Hintz	ryan	50000	5000000						3	0.255
2011-04-20T17:33:00	Lupo	yorick	50000	5000000						3	0.255
2013-03-11T14:47:00	Donna Noble	opt4820	50000	5000000						3	0.255
2014-05-28T10:07:00	OS1	L3	50000	5000000						3	0.255
2015-07-16T16:53:00	guru	w6	50000	5000000						3	0.255
2016-02-19T19:28:03	Sintax	cloud	50000	5000000						3	0.255
2016-05-09T06:19:56	Bruce	Desk6	50000	5000000						3	0.255
2016-07-20T04:45:36	Bruce	test	50000	5000000						3	0.255
2016-12-23T18:17:26	Bruce	Desk6	50000	5000000						3	0.255
2017-07-07T13:03:37	Bruce	Desk6	50000	5000000						3	0.255
2017-12-07T19:01:40	Bruce	Desk6	50000	5000000						3	0.255
2018-04-21T00:34:10	Bruce	Desk6	50000	5000000						3	0.255
2018-10-08T17:06:36	storm5510	7700_Kaby_Lake	50000	5000000						3	0.255
2019-12-29T07:47:32	TheJudger	myECM	50000	5000000						3	0.255
2020-01-03T00:22:04	TheJudger	myECM	50000	5000000						3	0.255
2020-01-09T19:35:01	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.255
2020-01-17T13:28:28	mnd9	f4b	50000	5000000						3	0.255
2020-01-29T19:35:45	nranks	wlaptop	50000	5000000						3	0.255
2020-01-30T13:54:08	Brett Walker	brain	50000	5000000						3	0.255
2020-02-08T21:39:31	mnd9	kitchen	50000	5000000						3	0.255
2020-02-16T08:36:47	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.255
2020-02-23T11:52:43	Keysarecool	i9	50000	5000000						3	0.255
2020-03-02T00:15:17	mnd9	colab	50000	5000000						3	0.255
2020-03-07T18:48:27	mnd9	25836b	50000	5000000						3	0.255
2020-03-15T06:27:49	mnd9	25836b	50000	5000000						3	0.255
2020-03-22T23:08:34	MarkS	desktop-i7	50000	5000000						3	0.255
2020-04-04T19:58:18	nranks	wlaptop	50000	5000000						3	0.255
2020-04-18T16:07:56	daveward2005	Davy	50000	5000000						3	0.255
2020-04-26T22:00:28	mnd9	l2lounge	50000	5000000						3	0.255
2020-05-06T03:29:46	Oliver Kruse	IOS-1	50000	5000000						3	0.255
2020-05-18T12:42:38	mnd9	libproj	50000	5000000						3	0.255
2020-06-05T14:01:45	daveward2005	Davy	50000	5000000						3	0.255
2020-06-23T17:07:33	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.255
2020-07-02T09:44:08	lycorn	colab_S	50000	5000000						3	0.255
2020-07-09T01:47:23	GAN	LMS-12	50000	5000000						3	0.255
2020-07-14T23:59:32	GAN	LMS-04	50000	5000000						3	0.255
2020-07-21T09:45:51	daveward2005	Davy	50000	5000000						3	0.255
2020-07-31T05:34:59	Yxinity	Olga	50000	5000000						3	0.255
2020-08-04T12:21:05	-Anonymous-	aws-nano	50000	5000000						3	0.255
2020-08-11T23:49:58	GAN	LMS-06	50000	5000000						3	0.255
2020-08-29T21:43:58	mnd9	f4	50000	5000000						7	0.594
2020-10-02T19:39:30	mnd9	kitchen	50000	5000000						7	0.594
2020-10-30T00:13:10	Sergey Nosov	TS140-02	50000	5000000						7	0.594
2020-11-07T13:12:44	Bruno Victal	Manual testing	76620	23259610						1	0.238
2020-12-20T05:25:05	daveward2005	Davy	50000	5000000						7	0.594
2021-02-18T06:12:09	Zenzoma	AM3700X_1	50000	5000000						7	0.594
2021-03-21T11:59:49	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.594
2021-03-21T15:45:15	Brett Walker	brain	50000	5000000						7	0.594
2021-05-03T18:55:09	GAN	KL-SCH09	50000	5000000						7	0.594
2021-06-18T12:57:28	kutens	terra	50000	6750000						7	0.679
2021-08-03T05:18:53	daveward2005	Davy	50000	5000000						7	0.594
2021-10-17T08:49:31	vali_r	vali_r	50000	5000000						7	0.594

date	userid	compid	res64	spent (GHz-days)
1999-07-04T00:00:00	ANONYMOUS	v4_computers	0643BCA44A37AE1B	0.136
2016-08-31T07:03:18	Mark Rose	genio	0643BCA44A37AE1B	0.136

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 = 13252751, B2 = 221101820940 (P-1 stage 2)

B1 = 13252751 (P-1 stage 1)

B1 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 182732, B2 = 13932000 (P-1 stage 2)

B1 = 182732, B2 = 5805000 (P-1 stage 2)

B1 = 315759 (P-1 stage 1)

B1 = 135000, B2 = 2902500 (P-1 stage 2)

B1 = 263133 (P-1 stage 1)

B1 = 219278 (P-1 stage 1)

B1 = 182732 (P-1 stage 1)

B1 = 166120 (P-1 stage 1)

B1 = 135000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 20000, B2 = 260000 (P-1 stage 2)

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)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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