M3498493 Mersenne number exponent details

Residue

Status

L-L

63ECC4DEDF6F0182

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	17.0373	67.6471%	1000000	114656850	1.0953	7.5291%	18.1326	70.0830%	2.4359%
PrimeNet	2⁶⁰	0.0439	63.3333%	15000	300000	0.0046	2.9602%	0.0486	64.4187%	1.0854%
GPU72	2⁶⁴	1.0174	65.6250%	20000	360000	0.0059	1.9153%	1.0233	66.2834%	0.6584%
Difference	+4	+16.0199	+2.0221%	+980000	+114296850	+1.0895	+5.6139%	+17.1094	+3.7996%	+3.7996%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

17.0373

67.6471%

1000000

114656850

1.0953

7.5291%

18.1326

70.0830%

2.4359%

PrimeNet

2⁶⁰

0.0439

63.3333%

15000

300000

0.0046

2.9602%

0.0486

64.4187%

1.0854%

GPU72

2⁶⁴

1.0174

65.6250%

20000

360000

0.0059

1.9153%

1.0233

66.2834%

0.6584%

Difference

+16.0199

+2.0221%

+980000

+114296850

+1.0895

+5.6139%

+17.1094

+3.7996%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3498493	6640044557250426479	19	62.526	948986400323 13 × 2203 × 33136157	2009-07-23	2203	33136157	0.3884	0.2753	0.5135

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

3498493

6640044557250426479

62.526

948986400323
13 × 2203 × 33136157

2009-07-23

2203

33136157

0.3884

0.2753

0.5135

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-09T04:55:00	Carsten Kossendey	leela	20000	240000		-		-	-	0.005	-	-	0.947%
2020-12-12T08:56:33	Jocelyn Larouche	Manual testing	349849	3498493	6	-		-	-	0.079	-	-	3.515%
2022-01-25T03:36:14	Jocelyn Larouche	Manual testing	1000000	114656850		-	skipped known factor: 6640044557250426479	-	-	1.095	-	-	7.529%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-03-19T18:07:00	S485122	USB-Z	2⁶⁰	2⁶¹		-	-	0.044	-	-
2022-05-27T23:20:30	LordJulius	Manual testing	2¹	2⁶²		-	-	0.176	-	-
2022-05-27T23:20:30	LordJulius	Manual testing	2⁶²	2⁶³	6640044557250426479	62.526	19	0.213	0.746	0.432
2022-05-27T23:20:31	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.561	-	-
2022-05-27T23:20:31	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	1.068	-	-
2021-02-21T11:36:45	Jocelyn Larouche	Manual testing	2⁶⁵	2⁶⁶		-	-	2.136	-	-
2022-05-31T03:51:41	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	2.136	-	-
2021-02-23T01:24:29	Jocelyn Larouche	Manual testing	2⁶⁶	2⁶⁷		-	-	4.272	-	-
2022-05-31T03:51:41	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	4.272	-	-
2021-06-14T13:03:45	Jocelyn Larouche	Manual testing	2⁶⁷	2⁶⁸		-	-	8.544	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Curves	Complete	FacMiss

New Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		6640044557250426479	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-07-23T05:34:00	alan145	Bear4			6640044557250426479	62.526		1		1	-

date	userid	compid	res64	spent (GHz-days)
1999-09-07T00:00:00	akohler	v4_computers	63ECC4DEDF6F0182	0.367

date

userid

compid

res64

spent (GHz-days)

1999-09-07T00:00:00

akohler

v4_computers

63ECC4DEDF6F0182

0.367

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-07T17:17:34

Oliver Kruse

GTX-3

6640044557250426479

DECBF22AFB4C0A__

2017-12-16T19:29:18

ATH

ec2-1xf

6640044557250426479

DECBF22AFB4C0A__

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 = 1000000, B2 = 114656850 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 349849, B2 = 3498493 (P-1 stage 2)

B1 = 349849 (P-1 stage 1)

B1 = 20000, B2 = 240000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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