M1970279 Mersenne number exponent details

is 2 ^1970279 - 1

has 593114 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	60.5939	69.5652%	1970279	246284875	1.4569	7.8041%	62.0507	71.9404%	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	+60.2820	+3.4362%	+1962279	+246184875	+1.4556	+6.6081%	+61.7377	+5.4063%	+5.4063%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-03-29T11:30:00	kurly	hex	1000000	30000000		-		-	-	0.246	-	-	5.204%
2018-01-20T12:51:30	Jocelyn Larouche	low 4M	1970279	30000000	12	-		-	-	0.333	-	-	5.550%
2018-02-14T12:53:58	Jocelyn Larouche	low 4M	1970279	60000000	12	-		-	-	0.489	-	-	6.282%
2018-03-04T21:01:55	Jocelyn Larouche	low 4M	1970279	120000000	12	-		-	-	0.801	-	-	7.025%
2018-09-18T11:52:41	Jocelyn Larouche	low 4M	1970279	197027900	12	-		-	-	1.201	-	-	7.561%
2018-11-26T12:53:55	Jocelyn Larouche	Manual testing	1970279	246284875	12	-		-	-	1.457	-	-	7.804%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2022-08-09T21:14:41	masser	Manual testing	1400000	49000000	2	7			-	-	0.367

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:01	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.058	-	-
2010-01-01T13:28:00	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		-	-	7.585	-	-
2019-05-18T04:32:08	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.17	-	-
2022-03-07T07:02:25	tim s	voyager1	2⁶⁸	2⁶⁹		-	-	30.34	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	22.025 GHz-days
Estimated T-Level:	24.464

Digits	B1	Curves	Complete	FacMiss
20	11000	250 / 100	2.500	8.106%
25	50000	250 / 280	0.893	40.883%

New Calculation Method

Total ECM effort:	22.025 GHz-days
Estimated T-Level:	24.464

Digits	B1	Complete	FacMiss
20	11000	9.795	0.006%
25	50000	0.911	40.213%
30	250000	0.058	94.400%
35	1000000	0.003	99.731%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	194	16.38
50000	6750000	7	0.674
50000	7500000	49	4.971

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-05T18:11:00	N Henderson	pc	50000	5000000						3	0.253
2009-08-24T02:39:00	Piepen	T41-2000	50000	5000000						3	0.253
2011-03-31T09:24:00	Lupo	yorick	50000	5000000						3	0.253
2012-12-02T19:17:00	Donna Noble	PH2x6	50000	5000000						3	0.253
2014-01-27T17:20:00	Bruce	snowflake	50000	5000000						3	0.253
2015-06-15T09:42:00	guru	w6	50000	5000000						3	0.253
2016-02-13T09:17:20	Bruce	Desk8	50000	5000000						3	0.253
2016-05-04T17:12:22	Angel Pescador	ubPIIIA	50000	5000000						3	0.253
2016-09-01T09:43:44	Bruce	Desk6	50000	5000000						3	0.253
2017-04-26T02:41:00	Bruce	Desk6	50000	5000000						3	0.253
2017-04-26T05:11:25	Bruce	Desk6	50000	5000000						3	0.253
2017-09-29T02:51:01	Bruce	Desk6	50000	5000000						3	0.253
2018-01-30T02:03:34	Bruce	Desk6	50000	5000000						3	0.253
2018-06-30T12:47:54	Bruce	Desk6	50000	5000000						3	0.253
2019-05-21T06:37:55	zar	eng1	50000	5000000						3	0.253
2019-12-10T16:52:21	mnd9	50871b	50000	5000000						3	0.253
2019-12-16T16:08:19	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.253
2019-12-19T22:05:23	mnd9	colab2	50000	5000000						3	0.253
2019-12-26T12:25:12	Keysarecool	HPLaptop	50000	5000000						3	0.253
2019-12-31T00:38:40	TheJudger	myECM	50000	5000000						3	0.253
2020-01-05T14:01:38	daveward2005	Davy	50000	5000000						3	0.253
2020-01-15T16:26:18	DRMEDESY	hm02	50000	5000000						3	0.253
2020-01-20T12:47:39	mnd9	touchdown	50000	5000000						3	0.253
2020-01-26T17:34:52	Yxinity	Olga	50000	5000000						3	0.253
2020-02-03T15:44:56	IanGlencross	glenx24	50000	5000000						3	0.253
2020-02-13T19:07:34	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.253
2020-02-18T20:23:00	Keysarecool	i9	50000	5000000						3	0.253
2020-02-25T22:56:35	EricP	Cannonfodder	50000	5000000						3	0.253
2020-03-04T12:49:53	daveward2005	MW	50000	5000000						3	0.253
2020-03-10T16:59:22	mnd9	kitchen	50000	5000000						3	0.253
2020-03-18T08:33:03	mnd9	75201b	50000	5000000						3	0.253
2020-03-29T06:17:07	kracker	O0	50000	5000000						3	0.253
2020-04-10T05:04:37	Oliver Kruse	IOS-1	50000	5000000						3	0.253
2020-04-22T17:35:27	nordi	sweet16	50000	5000000						3	0.253
2020-04-30T06:09:41	nordi	sweet16	50000	5000000						3	0.253
2020-05-11T08:02:32	nordi	sweet16	50000	5000000						3	0.253
2020-05-26T09:59:13	Yxinity	Olga	50000	5000000						3	0.253
2020-06-13T13:13:53	Summy	CHB	50000	5000000						3	0.253
2020-06-28T05:13:14	GAN	OSB-02	50000	5000000						3	0.253
2020-07-05T17:51:59	mnd9	libproj	50000	5000000						3	0.253
2020-07-12T11:49:26	mnd9	75203b	50000	5000000						3	0.253
2020-07-17T15:47:57	GAN	LMS-02	50000	5000000						3	0.253
2020-07-23T21:37:22	Ahmed Azhad	c5.4xlarge.azf	50000	5000000						3	0.253
2020-07-31T00:14:19	daveward2005	Dave2	50000	5000000						3	0.253
2020-08-07T12:05:29	GAN	LMS-11	50000	5000000						3	0.253
2020-08-15T20:55:28	GAN	XPS	50000	5000000						3	0.253
2020-09-12T12:21:28	rextherunt	ice	50000	5000000						7	0.591
2020-10-13T08:31:06	GAN	KA-HP	50000	5000000						7	0.591
2020-11-10T06:51:57	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.591
2020-12-17T11:46:09	daveward2005	MW	50000	5000000						7	0.591
2021-01-16T20:05:48	Zenzoma	AMD3970X	50000	5000000						7	0.591
2021-02-16T21:43:35	GAN	KL-SCH07	50000	5000000						7	0.591
2021-03-17T22:14:01	mnd9	50869	50000	5000000						7	0.591
2021-04-24T16:11:44	Zenzoma	AM3700X_1	50000	5000000						7	0.591
2021-06-14T09:13:35	Stef42	AMD-DESKTOP	50000	6750000						7	0.674
2022-08-02T10:13:27	TJAOI	Manual testing	50000	7500000						49	4.971

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-17T00:00:00	ANONYMOUS	v4_computers	D4B29FEED7618F1D	0.130
2015-07-12T18:10:00	MadPoo	Manual testing	D4B29FEED7618F1D	0.130

PRP results:
No PRP results for M1970279

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 = 1970279, B2 = 246284875 (P-1 stage 2)

B1 = 1970279, B2 = 197027900 (P-1 stage 2)

B1 = 1970279, B2 = 120000000 (P-1 stage 2)

B1 = 1970279, B2 = 60000000 (P-1 stage 2)

B1 = 1970279, B2 = 30000000 (P-1 stage 2)

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

B1 = 1970279 (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: 2022-08-09T21:14:41+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