M2485183 Mersenne number exponent details

is 2 ^2485183 - 1

has 748115 decimal digits

takes 0.172 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	23.9841	67.6471%	2382500	85770100	0.6965	7.5494%	24.6806	70.0895%	2.4425%
PrimeNet	2⁵⁹	0.0309	62.7119%	10000	180000	0.0019	2.5350%	0.0328	63.6571%	0.9453%
GPU72	2⁶³	0.6422	65.0794%	11000	160000	0.0019	1.3804%	0.6441	65.5614%	0.4820%
Difference	+5	+23.3419	+2.5677%	+2371500	+85610100	+0.6946	+6.1690%	+24.0365	+4.5281%	+4.5281%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2485183	615434406612887332343	21	69.060	123820742096837 293 × 422596389409	2020-07-24	293	422596389409	90.704	2,315.6	4,324.9

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.235%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.003	-	-	0.786%
2010-12-22T11:37:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.263%
2011-01-22T02:53:00	Oscar Östlin		95000	1947500		-		-	-	0.020	-	-	2.379%
2014-09-03T20:52:00	Jocelyn Larouche	Manual testing	120827	120827		-		-	-	0.012	-	-	0.917%
2014-11-12T00:46:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	7.549%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-14T20:18:00	Sturle Sunde	gobi.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-10T10:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.124	-	-
2013-01-14T11:53:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.395	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.790	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.503	-	-
2015-10-30T09:42:34	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.007	-	-
2017-07-22T20:28:38	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.014	-	-
2019-06-17T12:14:55	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.03	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.511 GHz-days
Estimated T-Level:	3.000

Digits	B1	Curves	Complete	FacMiss
20	11000	60 / 100	0.600	54.716%
25	50000	60 / 280	0.214	80.681%

New Calculation Method

Total ECM effort:	5.511 GHz-days
Estimated T-Level:	3.000

Digits	B1	Complete	FacMiss
20	11000	1.935	14.435%
25	50000	0.175	83.952%
30	250000	0.011	98.929%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		57	5.236
50000	5000000	615434406612887332343	3	0.276

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-13T10:26:00	Martti Järvi	SKYNET	50000	5000000						3	0.276
2010-03-27T02:18:00	unconnected	X3220--xp	50000	5000000						3	0.276
2012-06-20T12:39:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.276
2014-02-07T11:02:00	arnaud	srv-630	50000	5000000						3	0.276
2015-07-22T06:27:00	guru	w6	50000	5000000						3	0.276
2016-02-26T01:04:01	arnaud	CHAMOT09	50000	5000000						3	0.276
2016-06-23T23:45:29	Jason U	Server7	50000	5000000						3	0.276
2017-03-02T04:25:29	Bruce	eleven	50000	5000000						3	0.276
2017-08-13T13:00:36	Lelikoid	QH	50000	5000000						3	0.276
2017-12-24T00:30:23	Sebastian Hornbostel	V2	50000	5000000						3	0.276
2018-08-03T09:44:56	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-05-01T09:04:53	nordi	sweet16	50000	5000000						3	0.276
2020-05-12T13:28:28	Keysarecool	HPLaptop	50000	5000000						3	0.276
2020-05-30T07:29:09	nokno	leo221	50000	5000000						3	0.276
2020-06-16T13:57:14	Sergey Nosov	TS140-02	50000	5000000						3	0.276
2020-06-29T09:20:35	GAN	OSK-01	50000	5000000						3	0.276
2020-07-06T09:16:50	GAN	OSB-01	50000	5000000						3	0.276
2020-07-12T16:34:19	GAN	LMS-03	50000	5000000						3	0.276
2020-07-18T15:42:24	GAN	LMS-17	50000	5000000						3	0.276
2020-07-24T20:39:02	GAN	LMS-06	50000	5000000	615434406612887332343	69.060	3	2	6793321421313145	3	0.276

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-06-06T00:00:00	ANONYMOUS	v4_computers	525C3CB5E013F98C	0.172
2018-05-31T01:37:31	kkmrkkblmbrbk	old	525C3CB5E013F98C	0.172

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-07-25T14:10:37

argusdusty

Argus-PC

615434406612887332343

6685805861540181

2020-07-26T09:23:22

marssystems

system03

615434406612887332343

6685805861540181

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 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 2382500 (P-1 stage 1)

B1 = 95000, B2 = 1947500 (P-1 stage 2)

B1 = 120827 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (P-1 stage 2)

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)

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

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-07-26T09:23:22+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