M2717027 Mersenne number exponent details

Residue

Status

L-L

BAA9D53B60B5CBD5

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	10.9362	67.1642%	15000	217500	0.0029	0.9215%	10.9391	67.4668%	0.3026%
PrimeNet	2⁵⁹	0.0283	62.7119%	12000	220000	0.0026	2.8463%	0.0309	63.7732%	1.0613%
GPU72	2⁶³	0.5874	65.0794%	14000	220000	0.0028	1.6633%	0.5902	65.6602%	0.5808%
Difference	+4	+10.3488	+2.0848%	+1000	-2500	+0.0001	-0.7418%	+10.3489	+1.8066%	+1.8066%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

10.9362

67.1642%

15000

217500

0.0029

0.9215%

10.9391

67.4668%

0.3026%

PrimeNet

2⁵⁹

0.0283

62.7119%

12000

220000

0.0026

2.8463%

0.0309

63.7732%

1.0613%

GPU72

2⁶³

0.5874

65.0794%

14000

220000

0.0028

1.6633%

0.5902

65.6602%

0.5808%

Difference

+10.3488

+2.0848%

+1000

-2500

+0.0001

-0.7418%

+10.3489

+1.8066%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2717027	254466058114784136407	21	67.786	46828032646489 101 × 113 × 1811 × 2265623	2009-03-08	1811	2265623	13.910	0.0140	0.0258

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2717027

254466058114784136407

67.786

46828032646489
101 × 113 × 1811 × 2265623

2009-03-08

1811

2265623

13.910

0.0140

0.0258

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.298%
2003-11-28T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.922%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-01-31T13:46:00	Sturle Sunde	doak.ifi	2⁶⁰	2⁶¹		-	-	0.057	-	-

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
		254466058114784136407	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-08T14:29:00	SubPrime	dijkstra			254466058114784136407	67.786		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-05-23T00:00:00	ANONYMOUS	v4_computers	BAA9D53B60B5CBD5	0.210

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-19T20:12:35

Oliver Kruse

GTX-2

254466058114784136407

F766CA63279B24__

2017-12-04T23:17:32

kkmrkkblmbrbk

c4.xlarge

254466058114784136407

F766CA63279B24__

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 = 15000, B2 = 217500 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶¹

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