M67072151 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	7.1278	63.3803%	725000	16131250	5.7339	5.6044%	12.8617	65.4326%	2.0523%
PrimeNet	2⁷⁰	3.5626	62.8571%	280000	13000000	3.5664	5.3196%	7.1290	64.8330%	1.9758%
GPU72	2⁷⁴	57.0410	64.8649%	450000	15000000	4.5549	3.9289%	61.5960	66.2453%	1.3804%
Difference	-3	-49.9132	-1.4846%	+275000	+1131250	+1.1789	+1.6755%	-48.7343	-0.8127%	-0.8127%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

7.1278

63.3803%

725000

16131250

5.7339

5.6044%

12.8617

65.4326%

2.0523%

PrimeNet

2⁷⁰

3.5626

62.8571%

280000

13000000

3.5664

5.3196%

7.1290

64.8330%

1.9758%

GPU72

2⁷⁴

57.0410

64.8649%

450000

15000000

4.5549

3.9289%

61.5960

66.2453%

1.3804%

Difference

-3

-49.9132

-1.4846%

+275000

+1131250

+1.1789

+1.6755%

-48.7343

-0.8127%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
67072151	3940555598745788747327	22	71.739	29375497430713 7 × 452671 × 9270529	2013-08-25	452671	9270529	8.6295	3.4200	3.4577

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

67072151

3940555598745788747327

71.739

29375497430713
7 × 452671 × 9270529

2013-08-25

452671

9270529

8.6295

3.4200

3.4577

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-08-25T16:08:00	Jwb52z	Clay	725000	16131250			3940555598745788747327	22	71.739	5.734	339.1	11.47	5.604%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-12-11T07:40:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.029	-	-
2009-03-31T20:42:00	NoWhereMan	Ingrid	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2009-04-02T10:12:00	NoWhereMan	Ingrid	2⁶⁵	2⁶⁶		-	-	0.111	-	-
2009-04-03T23:37:00	jfarek	Carnegie10	2⁶⁶	2⁶⁷		-	-	0.223	-	-
2009-04-11T04:59:00	JShaft	arithmometer	2⁶⁷	2⁶⁸		-	-	0.446	-	-
2010-06-12T22:07:00	charger	FH526.3000.01	2⁶⁸	2⁶⁹		-	-	0.891	-	-
2012-02-14T08:55:00	sikafarmi_rendering_farm	Manual testing	2⁶⁹	2⁷⁰		-	-	1.783	-	-
2013-06-25T08:20:00	Le Comte	Manual testing	2⁷⁰	2⁷¹		-	-	3.565	-	-

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 = 725000, B2 = 16131250 (P-1 stage 2)

B1 = 725000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

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