M75058133 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	2⁷⁴	50.9720	63.5135%	660000	10065000	4.7000	3.8578%	55.6720	64.9211%	1.4076%
PrimeNet	2⁷⁰	3.1835	61.4286%	320000	14000000	4.2707	5.5579%	7.4542	63.5723%	2.1438%
GPU72	2⁷⁴	50.9720	63.5135%	500000	17000000	5.6082	4.1387%	56.5802	65.0236%	1.5101%
Difference	-	-	-	+160000	-6935000	-0.9082	-0.2809%	-0.9082	-0.1025%	-0.1025%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

50.9720

63.5135%

660000

10065000

4.7000

3.8578%

55.6720

64.9211%

1.4076%

PrimeNet

2⁷⁰

3.1835

61.4286%

320000

14000000

4.2707

5.5579%

7.4542

63.5723%

2.1438%

GPU72

2⁷⁴

50.9720

63.5135%

500000

17000000

5.6082

4.1387%

56.5802

65.0236%

1.5101%

Difference

+160000

-6935000

-0.9082

-0.2809%

-0.9082

-0.1025%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
75058133	10962339707914992283528053889753	32	103.112	73025662041946821962172 2² × 3 × 11 × 17 × 61 × 719 × 10831 × 18433 × 3716459	2015-04-26	18433	3716459	2.101e+9	0.8816	1.5161

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

75058133

10962339707914992283528053889753

103.112

73025662041946821962172
2² × 3 × 11 × 17 × 61 × 719 × 10831 × 18433 × 3716459

2015-04-26

18433

3716459

2.101e+9

0.8816

1.5161

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-04-26T13:34:00	guru	w6	660000	10065000			10962339707914992283528053889753	32	103.112	4.700	415.0	9.400	3.858%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-06-04T00:00:00	Marzbug	v4_computers	2¹	2⁶⁵		-	-	0.097	-	-
2004-12-23T00:00:00	Marzbug	v4_computers	2¹	2⁶⁵		-	-	0.097	-	-
2010-08-13T20:10:00	ANONYMOUS		2⁶⁵	2⁶⁶		-	-	0.100	-	-
2010-08-18T03:18:00	eon_blue_apocalypse	4core_7years	2⁶⁶	2⁶⁷		-	-	0.199	-	-
2010-08-20T13:42:00	S36049	Wolle4	2⁶⁷	2⁶⁸		-	-	0.398	-	-
2010-08-22T22:36:00	S36049	Wolle4	2⁶⁸	2⁶⁹		-	-	0.796	-	-
2013-05-20T02:12:00	ITS	MasterStation	2⁶⁹	2⁷⁰		-	-	1.593	-	-
2013-11-07T05:31:00	LarryG	Desktop2	2⁷⁰	2⁷¹		-	-	3.186	-	-
2014-01-06T20:53:00	fireredd	ont1	2⁷¹	2⁷²		-	-	6.372	-	-
2014-11-06T05:34:00	Bdot	Manual testing	2⁷²	2⁷³		-	-	12.74	-	-
2014-11-08T06:38:00	Bdot	Manual testing	2⁷³	2⁷⁴		-	-	25.49	-	-

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 = 660000, B2 = 10065000 (P-1 stage 2)

B1 = 660000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

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