M91819121 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	2⁷⁷	333.3528	64.9351%	695000	12336250	6.9815	3.0954%	340.3343	66.0205%	1.0854%
PrimeNet	2⁷¹	5.2067	61.9718%	400000	18000000	7.1372	5.5574%	12.3440	64.0852%	2.1134%
GPU72	2⁷⁵	83.3368	64.0000%	600000	22000000	9.2751	4.1401%	92.6118	65.4904%	1.4904%
Difference	+2	+250.0161	+0.9351%	+95000	-9663750	-2.2936	-1.0447%	+247.7225	+0.5300%	+0.5300%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁷

333.3528

64.9351%

695000

12336250

6.9815

3.0954%

340.3343

66.0205%

1.0854%

PrimeNet

2⁷¹

5.2067

61.9718%

400000

18000000

7.1372

5.5574%

12.3440

64.0852%

2.1134%

GPU72

2⁷⁵

83.3368

64.0000%

600000

22000000

9.2751

4.1401%

92.6118

65.4904%

1.4904%

Difference

+250.0161

+0.9351%

+95000

-9663750

-2.2936

-1.0447%

+247.7225

+0.5300%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2019-07-12T04:57:27	Chang Chia-Tche	exbpc13	695000	12336250		-		-	-	6.982	-	-	3.095%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2019-07-12T04:57:27

Chang Chia-Tche

exbpc13

695000

12336250

6.982

-

-

3.095%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-30T09:20:00	Architects Cubed	m1_59	2⁶⁴	2⁶⁵		-	-	0.041	-	-
2013-06-25T07:40:00	David Campeau	Manual testing	2⁶⁵	2⁶⁶		-	-	0.081	-	-
2013-08-29T11:11:00	Norman Ley	Manual testing	2⁶⁶	2⁶⁷		-	-	0.163	-	-
2014-09-15T20:47:00	ANONYMOUS	Manual testing	2⁶⁷	2⁶⁸		-	-	0.326	-	-
2014-09-15T20:47:00	ANONYMOUS	Manual testing	2⁶⁸	2⁶⁹		-	-	0.651	-	-
2014-09-15T20:47:00	ANONYMOUS	Manual testing	2⁶⁹	2⁷⁰		-	-	1.302	-	-
2014-09-15T20:47:00	ANONYMOUS	Manual testing	2⁷⁰	2⁷¹		-	-	2.604	-	-
2014-09-15T20:47:00	ANONYMOUS	Manual testing	2⁷¹	2⁷²		-	-	5.209	-	-
2014-09-15T20:47:00	ANONYMOUS	Manual testing	2⁷²	2⁷³		-	-	10.42	-	-
2014-09-15T20:47:00	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	20.83	-	-
2019-01-13T21:46:51	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	41.67	-	-
2019-01-13T21:46:51	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	83.34	-	-
2019-04-07T21:38:25	TheJudger	Manual testing	2⁷⁶	2⁷⁷		-	-	166.7	-	-

date	userid	compid	res64	spent (GHz-days)
2020-04-03T21:30:21	patgie		3ACCC436E5A860__	332.6

date

userid

compid

res64

spent (GHz-days)

2020-04-03T21:30:21

patgie

3ACCC436E5A860__

332.6

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 = 695000, B2 = 12336250 (P-1 stage 2)

B1 = 695000 (P-1 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	<	146M	PrimeNet wavefront