M63696319 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	60.0642	64.8649%	560000	10220000	3.7001	3.7202%	63.7643	66.1720%	1.3071%
PrimeNet	2⁷⁰	3.7514	62.8571%	260000	12000000	3.0643	5.1599%	6.8157	64.7737%	1.9165%
GPU72	2⁷⁴	60.0642	64.8649%	400000	14000000	3.8863	3.7886%	63.9505	66.1960%	1.3311%
Difference	-	-	-	+160000	-3780000	-0.1862	-0.0684%	-0.1862	-0.0240%	-0.0240%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

60.0642

64.8649%

560000

10220000

3.7001

3.7202%

63.7643

66.1720%

1.3071%

PrimeNet

2⁷⁰

3.7514

62.8571%

260000

12000000

3.0643

5.1599%

6.8157

64.7737%

1.9165%

GPU72

2⁷⁴

60.0642

64.8649%

400000

14000000

3.8863

3.7886%

63.9505

66.1960%

1.3311%

Difference

+160000

-3780000

-0.1862

-0.0684%

-0.1862

-0.0240%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
63696319	4395293756140552304660737	25	81.862	34501944736716672 2⁷ × 3 × 41 × 487 × 2663 × 1689773	2013-06-12	2663	1689773	13,300	0.3222	0.5857

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

63696319

4395293756140552304660737

81.862

34501944736716672
2⁷ × 3 × 41 × 487 × 2663 × 1689773

2013-06-12

2663

1689773

13,300

0.3222

0.5857

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-06-12T19:21:00	Jwb52z	Clay	560000	10220000			4395293756140552304660737	25	81.862	3.700	299.3	7.400	3.720%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2022-03-30T06:19:06	LordJulius	Manual testing	2¹	2⁶³		-	-	0.025	-	-
2009-02-25T07:16:00	Wojciech Florek	armada1	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-09-07T22:39:00	eon_blue_apocalypse	Ceasar	2⁶⁴	2⁶⁵		-	-	0.059	-	-
2009-11-14T14:30:00	sunithaya	boxx	2⁶⁵	2⁶⁶		-	-	0.117	-	-
2009-11-24T23:06:00	steinrar	jb	2⁶⁶	2⁶⁷		-	-	0.235	-	-
2009-11-29T01:53:00	steinrar	jb	2⁶⁷	2⁶⁸		-	-	0.469	-	-
2009-12-01T08:41:00	steinrar	jb	2⁶⁸	2⁶⁹		-	-	0.939	-	-
2012-05-12T09:21:00	Vladimir Tshegolevatykh	loli	2⁶⁹	2⁷⁰		-	-	1.877	-	-
2012-06-17T08:40:00	ITS	TV	2⁷⁰	2⁷¹		-	-	3.754	-	-
2013-03-09T17:30:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	7.508	-	-
2013-03-09T17:30:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	15.02	-	-
2013-05-16T00:18:00	gcardona	Manual testing	2⁷³	2⁷⁴		-	-	30.03	-	-

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 = 560000, B2 = 10220000 (P-1 stage 2)

B1 = 560000 (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