M1971589 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	2⁷¹	242.4838	70.4225%	1971589	246448625	1.4578	6.6066%	243.9416	72.3766%	1.9541%
PrimeNet	2⁵⁸	0.0195	63.7931%	8000	140000	0.0014	2.4720%	0.0209	64.6881%	0.8950%
GPU72	2⁶²	0.3116	66.1290%	8000	100000	0.0012	1.1961%	0.3128	66.5342%	0.4051%
Difference	+9	+242.1721	+4.2935%	+1963589	+246348625	+1.4566	+5.4105%	+243.6287	+5.8424%	+5.8424%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1971589	92352278034978094091344435793	29	96.221	23420773303913263385864 2³ × 2927596662989157923233	2021-01-28	8	2927596662989157923233	1.097e+10	1.521e+13	2.840e+13

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-03-18T02:52:00	kurly	hex	1000000	30000000		-		-	-	0.246	-	-	4.322%
2018-01-22T18:11:03	Jocelyn Larouche	low 4M	1971589	30000000	12	-		-	-	0.334	-	-	4.643%
2018-02-14T12:53:52	Jocelyn Larouche	low 4M	1971589	60000000	12	-		-	-	0.489	-	-	5.278%
2018-03-05T13:35:44	Jocelyn Larouche	low 4M	1971589	120000000	12	-		-	-	0.801	-	-	5.924%
2018-09-18T11:52:40	Jocelyn Larouche	low 4M	1971589	197158900	12	-		-	-	1.202	-	-	6.394%
2018-11-26T12:53:55	Jocelyn Larouche	Manual testing	1971589	246448625	12	-		-	-	1.458	-	-	6.607%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1997-11-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.010	-	-
1998-12-27T00:00:00	twmoss	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:01	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.058	-	-
2009-12-31T02:52:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.078	-	-
2016-02-23T16:29:01	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.156	-	-
2011-08-27T22:19:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.810	-	-
2016-02-23T16:29:01	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.498	-	-
2015-03-21T10:32:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	0.996	-	-
2015-03-21T10:32:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.895	-	-
2015-09-09T11:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.790	-	-
2018-04-07T11:55:34	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	7.580	-	-
2018-04-07T11:55:34	Yxinity	Manual testing	2⁶⁷	2⁶⁸		-	-	15.16	-	-
2018-04-07T11:55:34	Yxinity	Manual testing	2⁶⁸	2⁶⁹		-	-	30.32	-	-
2018-04-07T11:55:34	Yxinity	Manual testing	2⁶⁹	2⁷⁰		-	-	60.64	-	-
2018-06-15T15:56:17	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	121.3	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.608 GHz-days
Estimated T-Level:	23.089

Digits	B1	Curves	Complete	FacMiss
20	11000	173 / 100	1.730	17.575%
25	50000	173 / 280	0.618	53.850%

New Calculation Method

Total ECM effort:	14.608 GHz-days
Estimated T-Level:	23.089

Digits	B1	Complete	FacMiss
20	11000	5.581	0.377%
25	50000	0.504	60.388%
30	250000	0.031	96.942%
35	1000000	0.001	99.858%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		170	14.35
50000	5000000	92352278034978094091344435793	3	0.253

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-21T01:12:00	oodaira	Win02	50000	5000000						3	0.253
2009-08-21T16:07:00	SubPrime	pitr	50000	5000000						3	0.253
2011-02-02T05:50:00	James Hintz	17_051310	50000	5000000						3	0.253
2012-12-03T10:53:00	Donna Noble	PH2x6	50000	5000000						3	0.253
2014-01-29T14:43:00	Bruce	snowflake	50000	5000000						3	0.253
2015-06-17T15:50:00	Jayder	HPJared	50000	5000000						3	0.253
2016-02-13T20:16:20	Bruce	Desk8	50000	5000000						3	0.253
2016-03-27T16:20:22	Bruce	Desk6	50000	5000000						3	0.253
2016-07-03T10:49:25	Bruce	Desk6	50000	5000000						3	0.253
2016-10-30T00:53:26	Bruce	Desk6	50000	5000000						3	0.253
2017-06-10T06:41:40	Bruce	Desk6	50000	5000000						3	0.253
2017-10-05T22:58:11	Bruce	Desk6	50000	5000000						3	0.253
2018-01-30T23:55:57	Bruce	Desk6	50000	5000000						3	0.253
2018-07-02T13:05:29	Bruce	Desk6	50000	5000000						3	0.253
2019-05-25T05:31:59	zar	eng1	50000	5000000						3	0.253
2019-12-10T23:49:10	Nesowa	6700T	50000	5000000						3	0.253
2019-12-15T16:29:06	mnd9	colab2	50000	5000000						3	0.253
2019-12-20T11:16:27	mnd9	75211backdoorb	50000	5000000						3	0.253
2019-12-26T21:37:20	MarkS	desktop-i7	50000	5000000						3	0.253
2019-12-31T13:13:32	Keysarecool	Boat_Anchor	50000	5000000						3	0.253
2020-01-06T10:36:36	daveward2005	MW	50000	5000000						3	0.253
2020-01-13T17:53:36	daveward2005	MW	50000	5000000						3	0.253
2020-01-20T21:28:14	IEFBR14	MK1	50000	5000000						3	0.253
2020-01-26T17:50:29	Sergey Nosov	TS140-02	50000	5000000						3	0.253
2020-02-04T07:52:11	Keysarecool	Boat_Anchor	50000	5000000						3	0.253
2020-02-14T02:32:09	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.253
2020-02-19T09:39:18	Keysarecool	HPLaptop	50000	5000000						3	0.253
2020-03-02T12:06:33	S04803	lfmcal	50000	5000000						3	0.253
2020-03-04T06:28:59	EricP	Cannonfodder	50000	5000000						3	0.253
2020-03-11T05:51:48	kracker	O0	50000	5000000						3	0.253
2020-03-18T13:46:30	ANONYMOUS	ASUS-HOME	50000	5000000						3	0.253
2020-03-29T16:04:43	ANONYMOUS	PC136	50000	5000000						3	0.253
2020-04-10T20:29:05	mnd9	221Rb	50000	5000000						3	0.253
2020-04-23T03:32:57	daveward2005	Davy	50000	5000000						3	0.253
2020-04-30T17:51:45	nordi	sweet16	50000	5000000						3	0.253
2020-05-26T19:07:04	mnd9	75203	50000	5000000						3	0.253
2020-06-15T04:00:40	mnd9	office2	50000	5000000						3	0.253
2020-06-29T09:59:08	LaurV	3tits	50000	5000000						3	0.253
2020-07-05T20:03:51	GAN	PG-HP	50000	5000000						3	0.253
2020-07-11T07:42:35	GAN	OSK-03	50000	5000000						3	0.253
2020-07-12T05:01:42	GAN	LMS-16	50000	5000000						3	0.253
2020-07-18T01:35:09	GAN	LMS-08	50000	5000000						3	0.253
2020-07-26T21:57:52	Nesowa	6700T	50000	5000000						3	0.253
2020-07-31T06:09:39	lycorn	colab_ES	50000	5000000						3	0.253
2020-08-09T12:48:58	GAN	KL-SCH09	50000	5000000						3	0.253
2020-08-16T14:53:14	Brian Schroeder	i5-6600k	50000	5000000						7	0.591
2020-09-19T06:26:36	daveward2005	MW	50000	5000000						7	0.591
2020-10-17T11:36:59	mnd9	75202	50000	5000000						7	0.591
2020-11-19T15:06:48	mnd9	27016b	50000	5000000						7	0.591
2020-12-26T20:01:07	Zenzoma	AM3700X_1	50000	5000000						7	0.591
2021-01-28T05:54:28	daveward2005	Dave2	50000	5000000	92352278034978094091344435793	96.221	3	2	7370450414202364	3	0.253

date	userid	compid	res64	spent (GHz-days)
1997-11-11T00:00:00	ANONYMOUS	v4_computers	686597561EE8C671	0.130
1999-01-29T00:00:00	twmoss	v4_computers	686597561EE8C671	0.130
2015-06-28T05:06:00	MadPoo	Manual testing	686597561EE8C671	0.130

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 = 1971589, B2 = 246448625 (P-1 stage 2)

B1 = 1971589, B2 = 197158900 (P-1 stage 2)

B1 = 1971589, B2 = 120000000 (P-1 stage 2)

B1 = 1971589, B2 = 60000000 (P-1 stage 2)

B1 = 1971589, B2 = 30000000 (P-1 stage 2)

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

B1 = 1971589 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

10²¹

10²²

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