M67001843 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	7.1353	63.3803%	725000	16131250	5.7339	5.6037%	12.8692	65.4324%	2.0521%
PrimeNet	2⁷⁰	3.5663	62.8571%	280000	13000000	3.5664	5.3189%	7.1327	64.8327%	1.9756%
GPU72	2⁷⁴	57.1009	64.8649%	450000	15000000	4.5549	3.9284%	61.6558	66.2451%	1.3802%
Difference	-3	-49.9656	-1.4846%	+275000	+1131250	+1.1789	+1.6753%	-48.7867	-0.8128%	-0.8128%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

7.1353

63.3803%

725000

16131250

5.7339

5.6037%

12.8692

65.4324%

2.0521%

PrimeNet

2⁷⁰

3.5663

62.8571%

280000

13000000

3.5664

5.3189%

7.1327

64.8327%

1.9756%

GPU72

2⁷⁴

57.1009

64.8649%

450000

15000000

4.5549

3.9284%

61.6558

66.2451%

1.3802%

Difference

-3

-49.9656

-1.4846%

+275000

+1131250

+1.1789

+1.6753%

-48.7867

-0.8128%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
67001843	3233475844526407689088897	25	81.419	24129753001916736 2⁶ × 3 × 2531 × 3307 × 15014999	2013-08-07	3307	15014999	8,315.5	3.0099	5.6002

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

67001843

3233475844526407689088897

81.419

24129753001916736
2⁶ × 3 × 2531 × 3307 × 15014999

2013-08-07

3307

15014999

8,315.5

3.0099

5.6002

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-08-07T20:04:00	Jwb52z	Clay	725000	16131250			3233475844526407689088897	25	81.419	5.734	338.7	11.47	5.604%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	1.79088e-5	-	-
2002-09-14T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2008-12-10T23:01:00	Wojciech Florek	Manual testing	2¹	2⁶⁴		-	-	0.053	-	-
2009-04-02T10:26:00	ANONYMOUS	4	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2010-03-14T09:45:00	korva	cbd3k	2⁶⁵	2⁶⁶		-	-	0.112	-	-
2010-03-16T13:18:00	korva	cbd3k	2⁶⁶	2⁶⁷		-	-	0.223	-	-
2010-03-19T02:49:00	paulie	iMac3.4	2⁶⁷	2⁶⁸		-	-	0.446	-	-
2010-04-03T19:52:00	Sturle Sunde	gibys.ifi	2⁶⁸	2⁶⁹		-	-	0.892	-	-
2012-02-19T15:55:00	dsl	s3	2⁶⁹	2⁷⁰		-	-	1.784	-	-
2012-07-17T04:02:00	symallad	old_laptop	2⁷⁰	2⁷¹		-	-	3.569	-	-

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)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶⁰

2⁵³

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