M2956013 Mersenne number exponent details

Residue

Status

L-L

F5FC237DDD19DFC7

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	10.0520	67.1642%	2048	204800	0.0016	0.3051%	10.0536	67.2644%	0.1002%
PrimeNet	2⁶⁰	0.0520	63.3333%	12000	220000	0.0029	2.5083%	0.0548	64.2530%	0.9197%
GPU72	2⁶⁴	1.2041	65.6250%	12000	200000	0.0027	1.3472%	1.2068	66.0881%	0.4631%
Difference	+3	+8.8479	+1.5392%	-9952	+4800	-0.0011	-1.0421%	+8.8468	+1.1763%	+1.1763%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

10.0520

67.1642%

2048

204800

0.0016

0.3051%

10.0536

67.2644%

0.1002%

PrimeNet

2⁶⁰

0.0520

63.3333%

12000

220000

0.0029

2.5083%

0.0548

64.2530%

0.9197%

GPU72

2⁶⁴

1.2041

65.6250%

12000

200000

0.0027

1.3472%

1.2068

66.0881%

0.4631%

Difference

+8.8479

+1.5392%

-9952

+4800

-0.0011

-1.0421%

+8.8468

+1.1763%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2956013	4924930196842266631	19	62.095	833035950255 3 × 5 × 29 × 1915025173	2009-04-05	29	1915025173	0.4547	12.876	24.049

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2956013

4924930196842266631

62.095

833035950255
3 × 5 × 29 × 1915025173

2009-04-05

1915025173

0.4547

12.876

24.049

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-12-13T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.305%
2003-12-23T00:00:00	Team Prime Rib	v4_computers	10000	10000		-		-	-	0.001	-	-	0.177%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-04-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.026	-	-
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.052	-	-
2009-02-13T04:53:00	Sturle Sunde	graun.ifi	2⁶⁰	2⁶¹		-	-	0.052	-	-

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
		4924930196842266631	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-05T02:20:00	James Heinrich	Q6600			4924930196842266631	62.095		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-05-23T00:00:00	ANONYMOUS	v4_computers	F5FC237DDD19DFC7	0.252

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-26T00:51:36

Oliver Kruse

GTX-2

4924930196842266631

7B89B77AEAD6AC__

2017-12-09T14:45:53

kkmrkkblmbrbk

c4.xlarge

4924930196842266631

7B89B77AEAD6AC__

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

B1 = 10000 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁶¹

2⁶⁰

2⁵⁹

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