M77284997 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	99.0090	64.0000%	670000	12730000	5.4253	3.6948%	104.4343	65.3301%	1.3301%
PrimeNet	2⁷⁰	3.0918	61.4286%	340000	16000000	4.8780	5.7523%	7.9698	63.6473%	2.2187%
GPU72	2⁷⁴	49.5033	63.5135%	500000	18000000	5.9420	4.1984%	55.4453	65.0454%	1.5319%
Difference	+1	+49.5056	+0.4865%	+170000	-5270000	-0.5167	-0.5037%	+48.9889	+0.2847%	+0.2847%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

99.0090

64.0000%

670000

12730000

5.4253

3.6948%

104.4343

65.3301%

1.3301%

PrimeNet

2⁷⁰

3.0918

61.4286%

340000

16000000

4.8780

5.7523%

7.9698

63.6473%

2.2187%

GPU72

2⁷⁴

49.5033

63.5135%

500000

18000000

5.9420

4.1984%

55.4453

65.0454%

1.5319%

Difference

+49.5056

+0.4865%

+170000

-5270000

-0.5167

-0.5037%

+48.9889

+0.2847%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
77284997	307550488804619397198217	24	78.025	1989716638046964 2² × 3 × 1489 × 19211 × 5796493	2015-08-24	19211	5796493	1,475.1	1.3653	2.4114

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

77284997

307550488804619397198217

78.025

1989716638046964
2² × 3 × 1489 × 19211 × 5796493

2015-08-24

19211

5796493

1,475.1

1.3653

2.4114

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-08-24T01:13:00	Jwb52z	Clay	670000	12730000			307550488804619397198217	24	78.025	5.425	435.8	10.85	3.695%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	1.55260e-5	-	-
2003-12-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.004	-	-
Missing TF 61 - 62
Missing TF 62 - 63
Missing TF 63 - 64
2010-09-29T20:58:00	kevindorekens		2⁶⁴	2⁶⁵		-	-	0.048	-	-
2010-09-30T10:47:00	GrunwalderGIMP	Lyc-i7	2⁶⁵	2⁶⁶		-	-	0.097	-	-
2010-09-30T21:17:00	Gnorfe	_k_kontor	2⁶⁶	2⁶⁷		-	-	0.193	-	-
2010-10-01T08:52:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.387	-	-
2010-12-17T08:25:00	ANONYMOUS		2⁶⁸	2⁶⁹		-	-	0.774	-	-
2011-01-22T23:00:00	Sagredo		2⁶⁹	2⁷⁰		-	-	1.547	-	-
2013-01-09T01:19:00	guiyuan	Manual testing	2⁷⁰	2⁷¹		-	-	3.094	-	-
2015-06-07T20:45:00	Chuck	Manual testing	2⁷¹	2⁷²		-	-	6.188	-	-
2015-08-21T09:00:00	Tim Sorbera	Manual testing	2⁷²	2⁷³		-	-	12.38	-	-
2015-08-21T09:00:00	Tim Sorbera	Manual testing	2⁷³	2⁷⁴		-	-	24.75	-	-
2015-08-21T09:00:00	Tim Sorbera	Manual testing	2⁷⁴	2⁷⁵		-	-	49.51	-	-

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 = 670000, B2 = 12730000 (P-1 stage 2)

B1 = 670000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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