M26670089 Mersenne number exponent details

Residue

Status

L-L

BBE89CC59C6E1174

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	2⁷¹	17.9256	64.7887%	300000	4725000	0.7263	3.5323%	18.6519	66.0325%	1.2438%
PrimeNet	2⁶⁶	0.5537	62.1212%	120000	4500000	0.4814	5.2003%	1.0351	64.0910%	1.9698%
GPU72	2⁷⁰	8.9595	64.2857%	190000	5500000	0.6433	3.7969%	9.6028	65.6418%	1.3560%
Difference	+1	+8.9661	+0.5030%	+110000	-775000	+0.0829	-0.2647%	+9.0491	+0.3907%	+0.3907%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

17.9256

64.7887%

300000

4725000

0.7263

3.5323%

18.6519

66.0325%

1.2438%

PrimeNet

2⁶⁶

0.5537

62.1212%

120000

4500000

0.4814

5.2003%

1.0351

64.0910%

1.9698%

GPU72

2⁷⁰

8.9595

64.2857%

190000

5500000

0.6433

3.7969%

9.6028

65.6418%

1.3560%

Difference

+8.9661

+0.5030%

+110000

-775000

+0.0829

-0.2647%

+9.0491

+0.3907%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
26670089	191780747372943839791	21	67.378	3595427585055 3² × 5 × 37 × 2159415967	2011-11-27	37	2159415967	1.1323	157.92	294.95

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

26670089

191780747372943839791

67.378

3595427585055
3² × 5 × 37 × 2159415967

2011-11-27

2159415967

1.1323

157.92

294.95

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-01-20T00:00:00	ANONYMOUS	v4_computers	300000	4725000		-		-	-	0.726	-	-	3.532%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-11-27T23:23:00	Carsten Kossendey	Manual testing	?	?	191780747372943839791	67.378	21	0.018	50.34	0.037
2004-06-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.012	-	-
2004-07-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.023	-	-
2004-09-16T00:00:00	Team Prime Rib	v4_computers	2¹	2⁶⁷		-	-	1.114	-	-
2011-11-27T23:23:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁷¹	MISSED FACTOR!	-	-	16.81	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-02-18T00:00:00	ANONYMOUS	v4_computers	BBE89CC59C6E1174	24.69

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 = 300000, B2 = 4725000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷¹

2⁶⁷

2⁶²

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