M59522479 Mersenne number exponent details

Residue

Status

L-L

7C8735FE611A7967

double-checked

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	64.2760	64.8649%	560000	11340000	3.6958	3.7688%	67.9718	68.6337%	6.3148%
PrimeNet	2⁶⁹	2.0057	62.3188%	260000	12000000	2.8979	5.6453%	4.9036	67.9641%	5.6453%
GPU72	2⁷³	32.1365	64.3836%	400000	14000000	3.6753	4.1489%	35.8118	68.5324%	4.1489%
Difference	+1	+32.1395	+0.4813%	+160000	-2660000	+0.0205	-0.3801%	+32.1600	+0.1013%	+0.1013%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

64.2760

64.8649%

560000

11340000

3.6958

3.7688%

67.9718

68.6337%

6.3148%

PrimeNet

2⁶⁹

2.0057

62.3188%

260000

12000000

2.8979

5.6453%

4.9036

67.9641%

5.6453%

GPU72

2⁷³

32.1365

64.3836%

400000

14000000

3.6753

4.1489%

35.8118

68.5324%

4.1489%

Difference

+32.1395

+0.4813%

+160000

-2660000

+0.0205

-0.3801%

+32.1600

+0.1013%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-12-12T18:25:00	ANONYMOUS	i5-d	560000	11340000		-		-	-	3.696	-	-	3.769%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-12-12T18:25:00

ANONYMOUS

i5-d

560000

11340000

3.696

-

-

3.769%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-23T00:00:00	ANONYMOUS	v4_computers	?	2⁵³		-	-	2.01592e-5	-	-
2000-03-08T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁴		-	-	4.03183e-5	-	-
2000-06-28T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2000-06-29T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2016-02-23T17:06:01	Mark Rose	Manual testing	2⁵⁶	2⁶³		-	-	0.027	-	-
2008-07-09T20:24:00	monst	kingslake	2⁶³	2⁶⁴		-	-	0.033	-	-
2008-11-13T13:40:00	Tihy	WCRAY	2⁶⁴	2⁶⁵		-	-	0.063	-	-
2008-11-14T18:48:00	dtlgc	Duron600ShipOld	2⁶⁵	2⁶⁶		-	-	0.126	-	-
2008-12-05T15:07:00	dtlgc	Duron600ShipOld	2⁶⁶	2⁶⁷		-	-	0.251	-	-
2009-01-15T05:21:00	jfarek	Carnegie6	2⁶⁷	2⁶⁸		-	-	0.502	-	-
2009-12-13T23:49:00	Matthew Linder	i7_on_Windows_7	2⁶⁸	2⁶⁹		-	-	1.004	-	-
2011-07-13T06:51:00	Xyzzy	Manual testing	2⁶⁹	2⁷⁰		-	-	2.009	-	-
2012-01-01T17:16:00	amberjr	Manual testing	2⁷⁰	2⁷¹		-	-	4.017	-	-
2012-01-01T17:16:00	amberjr	Manual testing	2⁷¹	2⁷²		-	-	8.035	-	-
2012-10-26T02:02:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	16.07	-	-
2018-03-14T02:00:10	monst	Manual testing	2⁷³	2⁷⁴		-	-	32.14	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2012-12-18T04:01:00	ANONYMOUS	i5-d	11AFDDF27D1E0E__	132.2
2017-07-27T07:07:55	storm5510	7700_Kaby_Lake	7C8735FE611A7967	132.2
2017-07-29T13:25:46	ATH	Manual testing	7C8735FE611A7967	132.2

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 = 11340000 (stage 2)

B1 = 560000 (stage 1)

10⁴

10⁵

10⁶

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	<	123M	PrimeNet wavefront