M2385211 Mersenne number exponent details

is 2 ^2385211 - 1

has 718021 decimal digits

takes 0.161 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	24.9894	67.6471%	3000000	100000000	0.8115	7.8420%	25.8009	70.1842%	2.5371%
PrimeNet	2⁵⁹	0.0322	62.7119%	10000	170000	0.0018	2.4767%	0.0340	63.6354%	0.9235%
GPU72	2⁶³	0.6691	65.0794%	10000	140000	0.0017	1.2732%	0.6708	65.5240%	0.4446%
Difference	+5	+24.3202	+2.5677%	+2990000	+99860000	+0.8099	+6.5688%	+25.1301	+4.6602%	+4.6602%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2385211	1180189690472600005040503	25	79.965	247397335177600641 3 × 11 × 71 × 105589985137687	2020-12-28	71	105589985137687	72,229	563,522	1,052,502

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	-	-	0.232%
2010-11-08T01:30:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.203%
2010-11-15T22:51:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.261%
2010-12-26T15:17:00	markr	tiny	100000	2075000		-		-	-	0.020	-	-	2.425%
2014-09-15T22:12:00	ANONYMOUS	Manual testing	126909	126909		-		-	-	0.012	-	-	0.936%
2015-10-31T09:08:36	mikr	MSI	3000000	100000000	12	-		-	-	0.812	-	-	7.842%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:13	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-15T19:55:00	Sturle Sunde	goldiek.ifi	2⁶⁰	2⁶¹		-	-	0.064	-	-
2012-06-01T12:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.129	-	-
2013-01-23T08:27:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.412	-	-
2015-03-09T12:36:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.823	-	-
2015-03-09T12:36:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.566	-	-
2015-11-01T21:51:05	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.133	-	-
2017-06-22T00:32:49	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.266	-	-
2019-03-18T11:45:39	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.53	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.605 GHz-days
Estimated T-Level:	21.929

Digits	B1	Curves	Complete	FacMiss
20	11000	108 / 100	1.080	33.775%
25	50000	108 / 280	0.386	67.950%

New Calculation Method

Total ECM effort:	9.605 GHz-days
Estimated T-Level:	21.929

Digits	B1	Complete	FacMiss
20	11000	3.484	3.069%
25	50000	0.315	72.988%
30	250000	0.019	98.080%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		106	9.427
50000	5000000	1180189690472600005040503	2	0.178

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-29T17:02:00	Martti Järvi	SKYNET	50000	5000000						3	0.267
2010-02-17T00:20:00	SubPrime	stor	50000	5000000						3	0.267
2012-02-14T15:50:00	Lukasz Wrobel	i-2	50000	5000000						3	0.267
2013-11-18T22:40:00	arnaud	srv-630	50000	5000000						3	0.267
2015-06-24T18:50:00	guru	w6	50000	5000000						3	0.267
2016-02-19T09:51:16	Sintax	cloud	50000	5000000						3	0.267
2016-05-23T05:33:05	lettp	Home	50000	5000000						3	0.267
2016-09-12T14:28:22	Bruce	Desk6	50000	5000000						3	0.267
2017-03-20T13:14:25	Bruce	Desk6	50000	5000000						3	0.267
2017-10-30T19:05:04	Sebastian Hornbostel	V2	50000	5000000						3	0.267
2018-03-22T18:12:59	Bruce	Desk6	50000	5000000						3	0.267
2018-10-05T06:29:39	Bruce	Desk6	50000	5000000						3	0.267
2020-03-29T13:48:18	ANONYMOUS	PC136	50000	5000000						3	0.267
2020-04-12T00:25:45	MarkS	desktop-i7	50000	5000000						3	0.267
2020-04-23T06:28:36	nordi	sweet16	50000	5000000						3	0.267
2020-04-30T19:37:57	mnd9	27016b	50000	5000000						3	0.267
2020-05-12T01:04:09	mnd9	libproj	50000	5000000						3	0.267
2020-05-26T17:37:55	daveward2005	Davy	50000	5000000						3	0.267
2020-06-17T00:34:50	Claude Portenier	Petit-Idiot	50000	5000000						3	0.267
2020-06-30T01:25:38	GAN	KL-SCH02	50000	5000000						3	0.267
2020-07-05T16:04:48	GAN	LMS-15	50000	5000000						3	0.267
2020-07-12T12:41:02	mnd9	kitchen	50000	5000000						3	0.267
2020-07-18T00:49:25	GAN	GAN-HP	50000	5000000						3	0.267
2020-07-26T21:57:52	Nesowa	6700T	50000	5000000						3	0.267
2020-07-31T06:45:49	GAN	LMS-07	50000	5000000						3	0.267
2020-08-08T02:37:24	daveward2005	Dave2	50000	5000000						3	0.267
2020-08-16T12:07:29	daveward2005	Dave2	50000	5000000						7	0.623
2020-09-16T20:06:56	GAN	OSB-02	50000	5000000						7	0.623
2020-10-19T02:08:15	rextherunt	ice	50000	5000000						7	0.623
2020-11-20T05:57:43	Keysarecool	Boat_Anchor	50000	5000000						7	0.623
2020-12-28T08:44:43	daveward2005	MW	50000	5000000	1180189690472600005040503	79.965	2	2		2	0.178

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-05-02T00:00:00	ANONYMOUS	v4_computers	94968DFD3F3A5624	0.161
2018-05-15T19:59:46	kkmrkkblmbrbk	old	94968DFD3F3A5624	0.161

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-12-28T09:15:33

SRJ2877

LTOS

1180189690472600005040503

93BE4CA0E3E7D729

2020-12-28T18:54:43

firejuggler

Maison

1180189690472600005040503

93BE4CA0E3E7D729

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 = 100000, B2 = 2075000 (P-1 stage 2)

B1 = 126909 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-12-28T18:54:43+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