M63323077 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	60.4182	64.8649%	-	-	-	-	60.4182	64.8649%	2.0077%
PrimeNet	2⁷⁰	3.7735	62.8571%	260000	12000000	3.0643	5.1561%	6.8378	64.7723%	1.9151%
GPU72	2⁷⁴	60.4182	64.8649%	400000	14000000	3.8863	3.7858%	64.3045	66.1950%	1.3302%
Difference	-	-	-	-400000	-14000000	-3.8863	-3.7858%	-3.8863	-1.3302%	-1.3302%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

60.4182

64.8649%

60.4182

64.8649%

2.0077%

PrimeNet

2⁷⁰

3.7735

62.8571%

260000

12000000

3.0643

5.1561%

6.8378

64.7723%

1.9151%

GPU72

2⁷⁴

60.4182

64.8649%

400000

14000000

3.8863

3.7858%

64.3045

66.1950%

1.3302%

Difference

-400000

-14000000

-3.8863

-3.7858%

-3.8863

-1.3302%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
63323077	35159552370479510750561	23	74.896	277620371878640 2⁴ × 5 × 7 × 94153 × 5265373	2013-07-20	94153	5265373	67.742	1.2804	1.8250
63323077	507279605993833393198631	24	78.747	4005487651791095 5 × 181 × 257 × 2633 × 6540679	2013-07-20	2633	6540679	1,790.1	1.2223	2.2670
63323077	3824070900985809209362680950233	31	101.593	30194923258276040576508 2² × 3 × 7 × 19 × 229 × 593 × 743 × 138829 × 1350647	2013-07-20	138829	1350647	2.341e+9	0.6978	0.9624

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

63323077

35159552370479510750561

74.896

277620371878640
2⁴ × 5 × 7 × 94153 × 5265373

2013-07-20

94153

5265373

67.742

1.2804

1.8250

63323077

507279605993833393198631

78.747

4005487651791095
5 × 181 × 257 × 2633 × 6540679

2013-07-20

2633

6540679

1,790.1

1.2223

2.2670

63323077

3824070900985809209362680950233

101.593

30194923258276040576508
2² × 3 × 7 × 19 × 229 × 593 × 743 × 138829 × 1350647

2013-07-20

138829

1350647

2.341e+9

0.6978

0.9624

exponent	prime factors	composite factor	digits	bits*
63323077	35159552370479510750561 507279605993833393198631	17835723873416397109836459861515730983367681991	47	153.643
63323077	35159552370479510750561 3824070900985809209362680950233	13445262111163732663134566008210997233311940251783 0713	54	176.489
63323077	507279605993833393198631 3824070900985809209362680950233	19398731799445647656897359327004937433764452103947 31023	55	180.340
63323077	35159552370479510750561 507279605993833393198631 3824070900985809209362680950233	68205072662349548620633421760422165673044571137810 937540436645541918441353903	77	255.236

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-07-20T20:16:00	TheJudger	Manual testing					35159552370479510750561 507279605993833393198631 3824070900985809209362680950233	77	255.236	-	297.5	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-11-17T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁰		-	-	2.36864e-6	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁹		-	-	0.001	-	-
2009-02-17T08:24:00	Wojciech Florek	armada2	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-09-06T11:52:00	Andrey Kurgannikov	work-net	2⁶⁴	2⁶⁵		-	-	0.059	-	-
2009-09-08T12:10:00	luming	pc-luming	2⁶⁵	2⁶⁶		-	-	0.118	-	-
2009-09-12T19:06:00	Chris Vernieri	117C_WORKSTATION	2⁶⁶	2⁶⁷		-	-	0.236	-	-
2009-09-13T08:31:00	Sturle Sunde	giasha.ifi	2⁶⁷	2⁶⁸		-	-	0.472	-	-
2009-11-14T08:45:00	Sturle Sunde	gorro.ifi	2⁶⁸	2⁶⁹		-	-	0.944	-	-
2011-12-29T22:36:00	dabunnies		2⁶⁹	2⁷⁰		-	-	1.888	-	-
2012-10-14T04:57:00	Sid & Andy	Bo_Peep	2⁷⁰	2⁷¹		-	-	3.776	-	-
2013-05-15T01:30:00	Brian Lenhart	Manual testing	2⁷¹	2⁷²		-	-	7.553	-	-
2013-05-17T08:32:00	AllRandom	Manual testing	2⁷²	2⁷³		-	-	15.11	-	-
2013-07-04T22:40:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	30.21	-	-

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

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

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