M3604247 Mersenne number exponent details

Residue

Status

L-L

E983B668B90A3D38

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	2⁶⁷	8.2441	67.1642%	100000	130364850	1.0961	5.9781%	9.3402	69.1271%	1.9630%
PrimeNet	2⁶⁰	0.0426	63.3333%	15000	300000	0.0046	2.9757%	0.0473	64.4244%	1.0911%
GPU72	2⁶⁴	0.9875	65.6250%	20000	400000	0.0062	1.9809%	0.9937	66.3059%	0.6809%
Difference	+3	+7.2566	+1.5392%	+80000	+129964850	+1.0899	+3.9972%	+8.3465	+2.8212%	+2.8212%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

8.2441

67.1642%

100000

130364850

1.0961

5.9781%

9.3402

69.1271%

1.9630%

PrimeNet

2⁶⁰

0.0426

63.3333%

15000

300000

0.0046

2.9757%

0.0473

64.4244%

1.0911%

GPU72

2⁶⁴

0.9875

65.6250%

20000

400000

0.0062

1.9809%

0.9937

66.3059%

0.6809%

Difference

+7.2566

+1.5392%

+80000

+129964850

+1.0899

+3.9972%

+8.3465

+2.8212%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3604247	34923747507222436279	20	64.921	4844804963037 3 × 13 × 1583 × 78474901	2009-08-08	1583	78474901	1.9293	0.6513	1.2161

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

3604247

34923747507222436279

64.921

4844804963037
3 × 13 × 1583 × 78474901

2009-08-08

1583

78474901

1.9293

0.6513

1.2161

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-04T06:46:00	Carsten Kossendey	leela	20000	245000		-		-	-	0.005	-	-	1.114%
2022-03-05T05:37:09	Jocelyn Larouche	Manual testing	90000	90000		-		-	-	0.014	-	-	0.954%
2022-03-22T11:06:21	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.015	-	-	1.014%
2022-05-26T12:47:54	Jocelyn Larouche	Manual testing	100000	130364850		-	skipped known factor: 34923747507222436279	-	-	1.096	-	-	5.978%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-03-13T06:30:00	S485122	USB-A	2⁶⁰	2⁶¹		-	-	0.043	-	-

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
		34923747507222436279	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-08-08T06:00:00	JimBa	D600			34923747507222436279	64.921		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-08-16T00:00:00	ANONYMOUS	v4_computers	E983B668B90A3D38	0.379

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-10T11:57:30

Oliver Kruse

GTX-3

34923747507222436279

45EBB45FE11813__

2017-12-18T16:03:56

kkmrkkblmbrbk

c4.xlarge

34923747507222436279

45EBB45FE11813__

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 = 100000, B2 = 130364850 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 20000, B2 = 245000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10²

10³

10⁴

10⁵

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