M77151071 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	99.1808	64.0000%	670000	12730000	5.4253	3.6940%	104.6061	65.3298%	1.3298%
PrimeNet	2⁷⁰	3.0972	61.4286%	340000	16000000	4.8780	5.7511%	7.9752	63.6468%	2.2183%
GPU72	2⁷⁴	49.5893	63.5135%	500000	18000000	5.9420	4.1975%	55.5313	65.0450%	1.5315%
Difference	+1	+49.5916	+0.4865%	+170000	-5270000	-0.5167	-0.5036%	+49.0749	+0.2848%	+0.2848%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

99.1808

64.0000%

670000

12730000

5.4253

3.6940%

104.6061

65.3298%

1.3298%

PrimeNet

2⁷⁰

3.0972

61.4286%

340000

16000000

4.8780

5.7511%

7.9752

63.6468%

2.2183%

GPU72

2⁷⁴

49.5893

63.5135%

500000

18000000

5.9420

4.1975%

55.5313

65.0450%

1.5315%

Difference

+49.5916

+0.4865%

+170000

-5270000

-0.5167

-0.5036%

+49.0749

+0.2848%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
77151071	105112265729878315512607	24	76.476	681210671267793 3 × 17 × 227 × 6143 × 9578663	2015-08-12	6143	9578663	220.39	2.1573	3.9848

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

77151071

105112265729878315512607

76.476

681210671267793
3 × 17 × 227 × 6143 × 9578663

2015-08-12

6143

9578663

220.39

2.1573

3.9848

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-08-12T22:58:00	Jwb52z	Clay	670000	12730000			105112265729878315512607	24	76.476	5.425	435.0	10.85	3.694%

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		-	-	1.55529e-5	-	-
2003-12-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.004	-	-
2008-08-04T20:41:00	ANONYMOUS	Manual testing	2¹	2⁶⁵		-	-	0.095	-	-
2010-12-18T09:18:00	Christian Geschwentner	Manual testing	2⁶⁵	2⁶⁶		-	-	0.097	-	-
2011-06-19T03:26:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.194	-	-
2012-03-25T10:18:00	Special_Ed	oyster	2⁶⁷	2⁶⁸		-	-	0.387	-	-
2013-01-14T14:42:00	E.Lechner		2⁶⁸	2⁶⁹		-	-	0.775	-	-
2013-03-16T06:39:00	roemer2201	HPCC	2⁶⁹	2⁷⁰		-	-	1.550	-	-
2013-05-21T20:04:00	Manpowre	Manual testing	2⁷⁰	2⁷¹		-	-	3.099	-	-
2015-05-21T01:45:00	Chuck	Manual testing	2⁷¹	2⁷²		-	-	6.199	-	-
2015-05-21T01:45:00	Chuck	Manual testing	2⁷²	2⁷³		-	-	12.40	-	-
2015-05-21T01:45:00	Chuck	Manual testing	2⁷³	2⁷⁴		-	-	24.80	-	-
2015-05-21T01:45:00	Chuck	Manual testing	2⁷⁴	2⁷⁵		-	-	49.59	-	-

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)

10²

10³

10⁴

10⁵

10⁶

10²

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