M2311583 Mersenne number exponent details

is 2 ^2311583 - 1

has 695856 decimal digits

takes 0.156 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	25.7853	67.6471%	6000000	180000000	1.5164	8.9627%	27.3017	70.5467%	2.8997%
PrimeNet	2⁵⁸	0.0166	62.0690%	10000	190000	0.0019	2.9307%	0.0186	63.1806%	1.1116%
GPU72	2⁶²	0.2658	64.5161%	13000	200000	0.0023	1.7808%	0.2680	65.1480%	0.6319%
Difference	+6	+25.5195	+3.1309%	+5987000	+179800000	+1.5141	+7.1819%	+27.0336	+5.3987%	+5.3987%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2311583	347400225104763808343	21	68.235	75143359573237 113 × 664985482949	2020-12-14	113	664985482949	36.740	3,549.0	6,628.5

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.230%
2010-02-15T08:08:00	Bud	annan	500000	10000000		-		-	-	0.100	-	-	4.372%
2018-01-06T07:59:49	Sid & Andy	Hand_In_The_Box	6000000	180000000	12	-		-	-	1.516	-	-	8.963%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:11	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.066	-	-
2009-01-14T04:13:00	Sturle Sunde	dietrich.ifi	2⁶⁰	2⁶¹		-	-	0.066	-	-
2012-05-23T12:44:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.133	-	-
2013-12-06T02:46:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.425	-	-
2015-03-03T21:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.849	-	-
2015-03-03T21:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.616	-	-
2015-10-22T10:17:25	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.233	-	-
2017-05-31T02:32:35	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.465	-	-
2019-04-22T13:11:36	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.93	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.095 GHz-days
Estimated T-Level:	22.036

Digits	B1	Curves	Complete	FacMiss
20	11000	114 / 100	1.140	31.799%
25	50000	114 / 280	0.407	66.506%

New Calculation Method

Total ECM effort:	10.095 GHz-days
Estimated T-Level:	22.036

Digits	B1	Complete	FacMiss
20	11000	3.677	2.529%
25	50000	0.332	71.723%
30	250000	0.020	97.974%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		111	9.83
50000	5000000	347400225104763808343	3	0.266

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-23T03:36:00	Smurgs	23-3-03	50000	5000000						3	0.266
2010-01-14T06:27:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.266
2011-11-30T22:21:00	Lukasz Wrobel	w-s	50000	5000000						3	0.266
2013-10-04T02:42:00	arnaud	srv-630	50000	5000000						3	0.266
2015-06-17T19:27:00	Jayder	HPJared	50000	5000000						3	0.266
2016-01-16T08:31:36	Jason U	Server7	50000	5000000						3	0.266
2016-04-25T13:26:30	Bruce	Desk6	50000	5000000						3	0.266
2016-08-11T05:09:46	Bruce	Desk6	50000	5000000						3	0.266
2017-01-15T11:05:25	Bruce	Desk6	50000	5000000						3	0.266
2017-08-30T07:17:26	Bruce	Desk6	50000	5000000						3	0.266
2018-01-27T17:33:06	Bruce	Desk6	50000	5000000						3	0.266
2018-07-22T08:16:22	Bruce	Desk6	50000	5000000						3	0.266
2019-10-22T16:24:25	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.266
2020-03-18T13:32:41	Alvin Bunk	BADCAT	50000	5000000						3	0.266
2020-03-27T22:40:39	EricP	Cannonfodder	50000	5000000						3	0.266
2020-04-09T01:45:03	mnd9	221Rb	50000	5000000						3	0.266
2020-04-22T12:37:49	mnd9	libproj	50000	5000000						3	0.266
2020-04-30T08:01:10	mnd9	50871b	50000	5000000						3	0.266
2020-05-09T19:09:45	Brett Walker	brain	50000	5000000						3	0.266
2020-05-11T05:37:34	mnd9	50871b	50000	5000000						3	0.266
2020-05-25T08:08:20	mnd9	libproj	50000	5000000						3	0.266
2020-06-14T01:11:31	GAN	KL-SCH05	50000	5000000						3	0.266
2020-06-28T16:34:49	mnd9	75203b	50000	5000000						3	0.266
2020-07-04T19:39:32	MarkS	desktop-i7	50000	5000000						3	0.266
2020-07-11T12:41:01	GAN	LMS-16	50000	5000000						3	0.266
2020-07-17T06:45:46	GAN	LMS-18	50000	5000000						3	0.266
2020-07-23T15:10:05	daveward2005	Dave2	50000	5000000						3	0.266
2020-07-31T00:40:36	Nesowa	6700T	50000	5000000						3	0.266
2020-08-06T23:13:14	GAN	LMS-01	50000	5000000						3	0.266
2020-08-15T09:22:15	GAN	LMS-12	50000	5000000						3	0.266
2020-09-11T16:44:33	mnd9	75203b	50000	5000000						7	0.620
2020-10-11T03:45:57	mnd9	kitchen	50000	5000000						7	0.620
2020-11-08T18:07:24	RIHATEC		50000	5000000						7	0.620
2020-12-14T17:53:32	daveward2005	Dave2	50000	5000000	347400225104763808343	68.235	3	2	7970584366063861	3	0.266

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	212B70675799D2A9	0.156
2018-05-03T17:56:52	kkmrkkblmbrbk	old	212B70675799D2A9	0.156

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-12-15T10:55:14

Maciej Kmieciak

Asrock

347400225104763808343

09B85573FAD67490

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 = 6000000, B2 = 180000000 (P-1 stage 2)

B1 = 6000000 (P-1 stage 1)

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-12-15T10:55:14+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