M2362967 Mersenne number exponent details

is 2 ^2362967 - 1

has 711324 decimal digits

takes 0.160 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	25.2246	67.6471%	3000000	100000000	0.8115	7.8347%	26.0361	70.1818%	2.5348%
PrimeNet	2⁵⁹	0.0325	62.7119%	10000	170000	0.0018	2.4724%	0.0343	63.6338%	0.9219%
GPU72	2⁶³	0.6754	65.0794%	10000	140000	0.0017	1.2707%	0.6771	65.5231%	0.4438%
Difference	+5	+24.5492	+2.5677%	+2990000	+99860000	+0.8099	+6.5640%	+25.3590	+4.6587%	+4.6587%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2362967	664040389850828182709353	24	79.136	140509873783854828 2² × 3² × 11 × 7251833 × 48928721	2020-08-19	7251833	48928721	102,146	0.9328	1.4457

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.231%
2010-11-03T21:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.260%
2010-12-23T22:36:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.683%
2011-01-22T15:17:00	Oscar Östlin		90000	1822500		-		-	-	0.018	-	-	2.297%
2014-08-07T10:52:00	Jocelyn Larouche	Manual testing	117163	117163		-		-	-	0.011	-	-	0.893%
2014-10-22T23:53:00	Jocelyn Larouche	Manual testing	144326	144326		-		-	-	0.014	-	-	1.004%
2015-08-30T20:11:00	mikr	MSI	3000000	100000000		-		-	-	0.812	-	-	7.835%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-01T00:00:00	Phantomas	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:12	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-14T20:59:00	Sturle Sunde	ginjtje.ifi	2⁶⁰	2⁶¹		-	-	0.065	-	-
2012-05-30T14:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.130	-	-
2013-01-23T08:26:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.415	-	-
2015-03-09T12:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.831	-	-
2015-03-09T12:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.581	-	-
2015-10-29T11:36:26	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.162	-	-
2017-06-13T16:34:55	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.325	-	-
2019-04-15T13:43:04	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.65	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.816 GHz-days
Estimated T-Level:	4.400

Digits	B1	Curves	Complete	FacMiss
20	11000	88 / 100	0.880	41.295%
25	50000	88 / 280	0.314	72.990%

New Calculation Method

Total ECM effort:	7.816 GHz-days
Estimated T-Level:	4.400

Digits	B1	Complete	FacMiss
20	11000	2.839	5.850%
25	50000	0.257	77.371%
30	250000	0.016	98.433%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		81	7.194
50000	5000000	664040389850828182709353	7	0.622

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-25T22:00:00	Smurgs	Praca	50000	5000000						3	0.266
2010-02-04T19:18:00	James Classen	towerofart	50000	5000000						3	0.266
2012-01-07T11:52:00	S36049	Wolle5	50000	5000000						3	0.266
2013-11-04T13:27:00	arnaud	srv-630	50000	5000000						3	0.266
2015-06-15T03:57:00	guru	w6	50000	5000000						3	0.266
2016-02-17T20:14:27	Sintax	cloud2	50000	5000000						3	0.266
2016-05-13T17:12:40	Bruce	Desk6	50000	5000000						3	0.266
2016-09-04T18:09:47	Bruce	Desk6	50000	5000000						3	0.266
2017-03-08T07:59:19	Bruce	Desk6	50000	5000000						3	0.266
2017-10-14T17:00:13	Bruce	Desk6	50000	5000000						3	0.266
2018-03-06T16:37:58	Bruce	Desk6	50000	5000000						3	0.266
2018-09-10T18:16:26	Bruce	Desk6	50000	5000000						3	0.266
2020-03-19T07:15:03	Brett Walker	brain	50000	5000000						3	0.266
2020-03-30T13:49:11	daveward2005	Davy	50000	5000000						3	0.266
2020-04-11T19:35:18	Keysarecool	HPLaptop	50000	5000000						3	0.266
2020-04-23T16:54:54	nordi	sweet16	50000	5000000						3	0.266
2020-04-30T19:25:53	mnd9	eileen	50000	5000000						3	0.266
2020-05-12T13:30:52	nordi	sweet16	50000	5000000						3	0.266
2020-05-27T16:28:58	alpertron	laptop3	50000	5000000						3	0.266
2020-06-15T16:43:07	lycorn	colab_A	50000	5000000						3	0.266
2020-06-29T10:28:42	GAN	AC-KL	50000	5000000						3	0.266
2020-07-06T04:21:28	GAN	OSK-SEK	50000	5000000						3	0.266
2020-07-12T15:54:12	GAN	OSK-03	50000	5000000						3	0.266
2020-07-21T05:10:52	mnd9	office2	50000	5000000						3	0.266
2020-07-24T15:30:32	GAN	LMS-03	50000	5000000						3	0.266
2020-07-31T15:02:56	-Anonymous-	aws	50000	5000000						3	0.266
2020-08-08T19:40:02	GAN	XPS	50000	5000000						3	0.266
2020-08-19T03:10:48	GAN	OSB-02	50000	5000000	664040389850828182709353	79.136	7	2	3470904619558545	7	0.622

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-26T00:00:00	Phantomas	v4_computers	0F09A1E273EC11CE	0.160
2018-05-11T08:21:23	kkmrkkblmbrbk	old	0F09A1E273EC11CE	0.160

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-08-22T07:01:11

Chang Chia-Tche

homura

664040389850828182709353

CE3ED714F2DDF6B2

2020-08-23T00:17:02

marssystems

SYSTEM01

664040389850828182709353

CE3ED714F2DDF6B2

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 = 3000000, B2 = 100000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 90000, B2 = 1822500 (P-1 stage 2)

B1 = 144326 (P-1 stage 1)

B1 = 117163 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 75011 (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

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-08-23T00:17:02+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