M72684683 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	2⁷⁵	105.2754	64.0000%	620000	620000	2.4036	1.4956%	107.6790	64.5384%	0.5384%
PrimeNet	2⁷⁰	3.2875	61.4286%	320000	14000000	4.1300	5.5364%	7.4175	63.5640%	2.1355%
GPU72	2⁷⁴	52.6365	63.5135%	500000	17000000	5.4234	4.1223%	58.0599	65.0176%	1.5041%
Difference	+1	+52.6389	+0.4865%	+120000	-16380000	-3.0198	-2.6268%	+49.6191	-0.4792%	-0.4792%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

105.2754

64.0000%

620000

2.4036

1.4956%

107.6790

64.5384%

0.5384%

PrimeNet

2⁷⁰

3.2875

61.4286%

320000

14000000

4.1300

5.5364%

7.4175

63.5640%

2.1355%

GPU72

2⁷⁴

52.6365

63.5135%

500000

17000000

5.4234

4.1223%

58.0599

65.0176%

1.5041%

Difference

+52.6389

+0.4865%

+120000

-16380000

-3.0198

-2.6268%

+49.6191

-0.4792%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
72684683	52202616324930097922768863	26	85.432	359103281257552557 3 × 11 × 37 × 13807 × 42157 × 505283	2015-08-26	42157	505283	130,135	0.2613	0.3326

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

72684683

52202616324930097922768863

85.432

359103281257552557
3 × 11 × 37 × 13807 × 42157 × 505283

2015-08-26

42157

505283

130,135

0.2613

0.3326

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-08-26T16:55:00	Jwb52z	Clay	620000	620000			52202616324930097922768863	26	85.432	2.404	388.7	4.807	1.496%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2002-06-02T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2008-09-19T11:27:00	Wojciech Florek	Manual testing	2¹	2⁶⁴		-	-	0.049	-	-
2010-05-25T16:13:00	ANONYMOUS	SrvrUID	2⁶⁴	2⁶⁵		-	-	0.051	-	-
2010-06-05T13:09:00	ANONYMOUS	SrvrUID	2⁶⁵	2⁶⁶		-	-	0.103	-	-
2010-06-12T21:58:00	Aviatorr		2⁶⁶	2⁶⁷		-	-	0.206	-	-
2010-06-15T12:07:00	Aviatorr		2⁶⁷	2⁶⁸		-	-	0.411	-	-
2010-06-18T04:07:00	GrunwalderGIMP	compute-head	2⁶⁸	2⁶⁹		-	-	0.822	-	-
2012-12-14T11:50:00	albin_pouilles	prod-1	2⁶⁹	2⁷⁰		-	-	1.645	-	-
2013-04-20T01:17:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	3.290	-	-
2015-03-11T10:22:00	srow7	Manual testing	2⁷¹	2⁷²		-	-	6.580	-	-
2015-08-22T19:10:00	Fredrik	Manual testing	2⁷²	2⁷³		-	-	13.16	-	-
2015-08-25T02:50:00	NickOfTime	Manual testing	2⁷³	2⁷⁴		-	-	26.32	-	-
2015-08-25T02:50:00	NickOfTime	Manual testing	2⁷⁴	2⁷⁵		-	-	52.64	-	-

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 = 620000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

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