M2020511 Mersenne number exponent details

is 2 ^2020511 - 1

has 608235 decimal digits

takes 0.133 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	2⁶⁸	29.4999	69.1176%	4000000	200000000	1.3994	8.7488%	30.8993	71.8195%	2.7018%
PrimeNet	2⁵⁸	0.0190	63.7931%	9000	150000	0.0016	2.6121%	0.0206	64.7389%	0.9458%
GPU72	2⁶²	0.3041	66.1290%	8000	120000	0.0013	1.2734%	0.3054	66.5603%	0.4313%
Difference	+6	+29.1958	+2.9886%	+3992000	+199880000	+1.3981	+7.4755%	+30.5939	+5.2592%	+5.2592%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2020511	3330049029940961317080031	25	81.462	824061098885618865 3 × 5 × 17 × 84299 × 38335118477	2020-07-14	84299	38335118477	345,472	199.13	371.90

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-04-28T00:00:00	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	0.000	-	-	0.017%
2002-12-31T00:00:00	ANONYMOUS	v4_computers	25000	412500		-		-	-	0.004	-	-	1.078%
2010-12-08T22:41:00	Jocelyn Larouche	Manual testing	202051	202051		-		-	-	0.019	-	-	1.170%
2013-10-18T05:46:00	David Campeau	i5-2500k	580000	15080000		-		-	-	0.131	-	-	4.745%
2019-02-24T22:28:02	mikr	MSI	4000000	200000000	12	-		-	-	1.399	-	-	8.749%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-02T00:00:00	S00030	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:03	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.057	-	-
2009-01-02T09:40:00	Sturle Sunde	fizir.ifi	2⁶⁰	2⁶¹		-	-	0.076	-	-
2012-02-04T16:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.152	-	-
2013-02-11T20:23:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.486	-	-
2015-04-10T15:56:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.972	-	-
2015-04-10T15:56:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.849	-	-
2015-10-28T09:42:37	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.698	-	-
2016-07-02T13:21:34	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.397	-	-
2019-03-18T03:51:00	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.79	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.908 GHz-days
Estimated T-Level:	22.089

Digits	B1	Curves	Complete	FacMiss
20	11000	117 / 100	1.170	30.854%
25	50000	117 / 280	0.418	65.796%

New Calculation Method

Total ECM effort:	9.908 GHz-days
Estimated T-Level:	22.089

Digits	B1	Complete	FacMiss
20	11000	3.774	2.296%
25	50000	0.341	71.098%
30	250000	0.021	97.921%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		114	9.65
50000	5000000	3330049029940961317080031	3	0.254

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-03T08:52:00	Chang Chia-Tche	euler06	50000	5000000						3	0.254
2009-09-09T23:48:00	SubPrime	abd0	50000	5000000						3	0.254
2011-02-11T13:11:00	Lupo	yorick	50000	5000000						3	0.254
2013-02-14T09:02:00	OS1	L3	50000	5000000						3	0.254
2014-03-18T07:57:00	Bruce	snowflake	50000	5000000						3	0.254
2015-07-02T14:52:00	guru	w1	50000	5000000						3	0.254
2015-10-06T03:38:47	mikr	MSI	50000	5000000						12	1.016
2017-05-08T22:05:47	Bruce	Desk6	50000	5000000						3	0.254
2017-11-08T13:47:39	Bruce	Desk6	50000	5000000						3	0.254
2018-03-13T06:58:12	Bruce	Desk6	50000	5000000						3	0.254
2018-08-14T11:57:01	Bruce	Desk6	50000	5000000						3	0.254
2019-10-31T14:41:33	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2019-12-23T09:30:19	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2019-12-29T12:11:29	J.R. Allen	lapdell	50000	5000000						3	0.254
2020-01-02T21:20:44	J.R. Allen	lapacer	50000	5000000						3	0.254
2020-01-09T00:20:36	Keysarecool	Boat_Anchor	50000	5000000						3	0.254
2020-01-20T03:07:39	Nesowa	entropy_generator_2	50000	5000000						3	0.254
2020-01-23T01:15:38	mnd9	25836b	50000	5000000						3	0.254
2020-01-29T15:34:12	Keysarecool	HPLaptop	50000	5000000						3	0.254
2020-02-15T22:47:50	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2020-02-23T07:28:39	mnd9	75211backdoorb	50000	5000000						3	0.254
2020-02-26T11:57:42	mnd9	25836b	50000	5000000						3	0.254
2020-02-29T18:26:26	daveward2005	Davy	50000	5000000						3	0.254
2020-03-07T08:27:20	mnd9	25836b	50000	5000000						3	0.254
2020-03-14T08:46:35	MarkS	laptop64	50000	5000000						3	0.254
2020-03-24T06:22:36	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.254
2020-04-04T00:16:27	Sergey Nosov	TS140-02	50000	5000000						3	0.254
2020-04-17T19:56:48	Bommer	3900X	50000	5000000						3	0.254
2020-04-26T17:35:15	nordi	sweet16	50000	5000000						3	0.254
2020-05-05T00:59:39	EricP	Cannonfodder	50000	5000000						3	0.254
2020-05-16T22:42:56	quantizedSpacetime	zach	50000	5000000						3	0.254
2020-06-04T03:13:51	Nesowa	6700T	50000	5000000						3	0.254
2020-06-22T17:01:55	MarkS	laptop64	50000	5000000						3	0.254
2020-07-02T10:08:10	Sergey Nosov	TS140-02	50000	5000000						3	0.254
2020-07-08T21:58:38	mnd9	office2	50000	5000000						3	0.254
2020-07-14T16:33:39	GAN	OSB-02	50000	5000000	3330049029940961317080031	81.462	3	2	618030851560995	3	0.254

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	S00030	v4_computers	FB570580613714AB	0.133
2016-07-15T13:19:23	Mark Rose	leonardo	FB570580613714AB	0.133

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-07-15T01:19:51

pew

10980xe_1

3330049029940961317080031

9C9434078799F9BC

2020-07-15T16:39:45

kotenok2000

shodan1

3330049029940961317080031

9C9434078799F9BC

2020-07-16T02:00:19

MarkS

laptop64

3330049029940961317080031

9C9434078799F9BC

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 = 4000000, B2 = 200000000 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 580000, B2 = 15080000 (P-1 stage 2)

B1 = 580000 (P-1 stage 1)

B1 = 202051 (P-1 stage 1)

B1 = 25000, B2 = 412500 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-07-16T02:00:19+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