M7276177 Mersenne number exponent details

Residue

Status

L-L

0E9B7ADF88976D58

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	4.0837	65.6716%	90000	1620000	0.0548	2.9860%	4.1385	66.6967%	1.0250%
PrimeNet	2⁶³	0.2193	63.4921%	32000	800000	0.0233	3.3787%	0.2427	64.7255%	1.2335%
GPU72	2⁶⁷	4.0837	65.6716%	45000	1000000	0.0307	2.3145%	4.1144	66.4662%	0.7945%
Difference	-	-	-	+45000	+620000	+0.0241	+0.6715%	+0.0241	+0.2305%	+0.2305%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

4.0837

65.6716%

90000

1620000

0.0548

2.9860%

4.1385

66.6967%

1.0250%

PrimeNet

2⁶³

0.2193

63.4921%

32000

800000

0.0233

3.3787%

0.2427

64.7255%

1.2335%

GPU72

2⁶⁷

4.0837

65.6716%

45000

1000000

0.0307

2.3145%

4.1144

66.4662%

0.7945%

Difference

+45000

+620000

+0.0241

+0.6715%

+0.0241

+0.2305%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
7276177	2993899611831154471899367	25	81.308	205733011431082179 3 × 11 × 17 × 449 × 816760602611	2012-11-15	449	816760602611	107,209	14,070	26,279

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

7276177

2993899611831154471899367

81.308

205733011431082179
3 × 11 × 17 × 449 × 816760602611

2012-11-15

449

816760602611

107,209

14,070

26,279

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-02-10T00:00:00	ANONYMOUS	v4_computers	35000	358750		-		-	-	0.017	-	-	1.658%
2012-08-01T21:35:00	Nesowa	EPC	90000	1620000		-		-	-	0.055	-	-	2.986%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-06-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.084	-	-
1998-09-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.219	-	-

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
		2993899611831154471899367	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2012-11-15T12:06:00	ATH	quad			2993899611831154471899367	81.308		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-03-24T00:00:00	ANONYMOUS	v4_computers	0E9B7ADF88976D58	1.587

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-02-25T15:43:35

Oliver Kruse

GTX-1

2993899611831154471899367

CAFF1E7D9817DC__

2019-04-25T22:57:46

kkmrkkblmbrbk

c5.large

2993899611831154471899367

CAFF1E7D9817DCAC

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 = 90000, B2 = 1620000 (P-1 stage 2)

B1 = 90000 (P-1 stage 1)

B1 = 35000, B2 = 358750 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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