M1970233 Mersenne number exponent details

is 2 ^1970233 - 1

has 593100 decimal digits

takes 0.130 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁹	60.5953	69.5652%	1970233	246279125	1.4568	7.8040%	62.0521	71.9403%	2.3751%
PrimeNet	2⁵⁸	0.0195	63.7931%	8000	140000	0.0014	2.4717%	0.0209	64.6880%	0.8949%
GPU72	2⁶²	0.3118	66.1290%	8000	100000	0.0012	1.1959%	0.3131	66.5341%	0.4051%
Difference	+7	+60.2834	+3.4362%	+1962233	+246179125	+1.4556	+6.6081%	+61.7390	+5.4062%	+5.4062%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-03-29T09:04:00	kurly	hex	1000000	30000000		-		-	-	0.246	-	-	5.204%
2018-01-20T12:51:30	Jocelyn Larouche	low 4M	1970233	30000000	12	-		-	-	0.333	-	-	5.550%
2018-02-14T12:53:58	Jocelyn Larouche	low 4M	1970233	60000000	12	-		-	-	0.489	-	-	6.282%
2018-03-04T21:01:55	Jocelyn Larouche	low 4M	1970233	120000000	12	-		-	-	0.801	-	-	7.025%
2018-09-18T11:52:41	Jocelyn Larouche	low 4M	1970233	197023300	12	-		-	-	1.201	-	-	7.561%
2018-11-26T12:53:55	Jocelyn Larouche	Manual testing	1970233	246279125	12	-		-	-	1.457	-	-	7.804%

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	-	-
2016-02-23T16:29:01	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.058	-	-
2010-01-01T14:21:00	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	-	-
2015-03-22T23:34:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	0.996	-	-
2015-03-22T23:35:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.896	-	-
2015-09-09T11:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.793	-	-
2018-05-28T14:40:32	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.586	-	-
2019-05-18T04:32:08	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.17	-	-
2022-03-03T06:39:35	tim s	voyager1	2⁶⁸	2⁶⁹		-	-	30.34	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.970 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:	16.970 GHz-days
Estimated T-Level:	23.589

Digits	B1	Complete	FacMiss
20	11000	7.731	0.044%
25	50000	0.715	48.904%
30	250000	0.045	95.588%
35	1000000	0.002	99.789%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		201	16.97

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-20T18:19:00	oodaira	Win02	50000	5000000						3	0.253
2009-08-24T16:00:00	SubPrime	mysql0	50000	5000000						3	0.253
2011-03-31T07:37:00	Lupo	yorick	50000	5000000						3	0.253
2012-12-07T21:20:00	Donna Noble	PH2-940-v3-MVB	50000	5000000						3	0.253
2014-01-27T02:20:00	Andy Incline	Office-PC	50000	5000000						3	0.253
2015-06-15T08:53:00	guru	w6	50000	5000000						3	0.253
2016-02-13T10:58:17	Jason U	Server7	50000	5000000						3	0.253
2016-05-04T17:12:20	Angel Pescador	ubPIIIA	50000	5000000						3	0.253
2016-07-05T23:05:51	lettp	Home	50000	5000000						3	0.253
2017-04-26T02:29:03	Bruce	Desk6	50000	5000000						3	0.253
2017-04-26T05:14:04	Bruce	Desk6	50000	5000000						3	0.253
2017-09-29T01:34:18	Bruce	Desk6	50000	5000000						3	0.253
2018-01-30T00:04:02	Bruce	Desk6	50000	5000000						3	0.253
2018-06-30T11:42:31	Bruce	Desk6	50000	5000000						3	0.253
2019-05-21T03:31:57	zar	eng1	50000	5000000						3	0.253
2019-12-10T04:50:19	Idgo	Pentium_Desktop	50000	5000000						3	0.253
2019-12-14T16:58:02	Keysarecool	HPLaptop	50000	5000000						3	0.253
2019-12-20T01:59:34	mnd9	75211backdoorb	50000	5000000						3	0.253
2019-12-26T14:04:06	J.R. Allen	lapacer	50000	5000000						3	0.253
2019-12-31T03:49:17	Nesowa	6700T	50000	5000000						3	0.253
2020-01-05T09:08:50	TheJudger	myECM	50000	5000000						3	0.253
2020-01-12T22:11:48	EricP	Cannonfodder	50000	5000000						3	0.253
2020-01-20T10:30:33	mnd9	kitchen	50000	5000000						3	0.253
2020-01-26T03:48:01	mnd9	75204b	50000	5000000						3	0.253
2020-02-04T01:34:27	David_McCann	i5	50000	5000000						3	0.253
2020-02-12T04:14:13	mnd9	libproj	50000	5000000						3	0.253
2020-02-18T19:59:55	Keysarecool	i9	50000	5000000						3	0.253
2020-02-25T22:58:25	mnd9	l2lounge	50000	5000000						3	0.253
2020-03-04T07:09:07	Sergey Nosov	TS140-02	50000	5000000						3	0.253
2020-03-11T05:36:27	Alvin Bunk	BADCAT	50000	5000000						3	0.253
2020-03-18T07:21:00	mnd9	75211backdoorb	50000	5000000						3	0.253
2020-03-28T22:54:43	daveward2005	Davy	50000	5000000						3	0.253
2020-04-10T08:19:18	mnd9	libproj	50000	5000000						3	0.253
2020-04-22T14:05:50	Keysarecool	HPLaptop	50000	5000000						3	0.253
2020-04-30T10:03:45	mnd9	libproj	50000	5000000						3	0.253
2020-05-11T08:02:30	nordi	sweet16	50000	5000000						3	0.253
2020-05-25T18:57:33	mnd9	office2	50000	5000000						3	0.253
2020-06-14T00:28:56	mnd9	kitchen	50000	5000000						3	0.253
2020-06-28T22:13:24	LaurV	3tits	50000	5000000						3	0.253
2020-07-05T15:18:41	Sergey Nosov	TS140-02	50000	5000000						3	0.253
2020-07-12T03:18:53	mnd9	75203b	50000	5000000						3	0.253
2020-07-18T03:12:06	mnd9	25836b	50000	5000000						3	0.253
2020-07-23T18:03:29	gLauss	laptop-klaus	50000	5000000						3	0.253
2020-07-30T19:53:41	GAN	LMS-08	50000	5000000						3	0.253
2020-08-07T11:27:07	GAN	LMS-12	50000	5000000						3	0.253
2020-08-15T22:29:40	GAN	LMS-15	50000	5000000						3	0.253
2020-09-12T01:54:34	mnd9	25836b	50000	5000000						7	0.591
2020-10-12T14:25:33	lycorn	colab_D_1	50000	5000000						7	0.591
2020-11-10T06:53:47	daveward2005	Dave2	50000	5000000						7	0.591
2021-01-22T00:25:09	Per Jessen	earth	50000	5000000						7	0.591
2021-02-14T11:05:35	Zenzoma	AMD3970X	50000	5000000						7	0.591
2021-02-15T07:52:05	Zenzoma	AM3700X_1	50000	5000000						7	0.591
2021-02-16T04:03:36	mnd9	libproj	50000	5000000						7	0.591
2021-04-25T12:10:07	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.591
2021-06-14T13:55:16	daveward2005	d12436	50000	5000000						7	0.591

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	ANONYMOUS	v4_computers	EB33C3166A8F8EBF	0.130
2015-07-10T01:01:00	MadPoo	Manual testing	EB33C3166A8F8EBF	0.130

PRP results:
No PRP results for M1970233

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 = 1970233, B2 = 246279125 (P-1 stage 2)

B1 = 1970233, B2 = 197023300 (P-1 stage 2)

B1 = 1970233, B2 = 120000000 (P-1 stage 2)

B1 = 1970233, B2 = 60000000 (P-1 stage 2)

B1 = 1970233, B2 = 30000000 (P-1 stage 2)

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

B1 = 1970233 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10⁵

10⁶

10⁷

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-03T06:39:35+00:00

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