M91819051 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	333.3531	64.9351%	705000	13395000	7.3341	3.1558%	340.6872	66.0416%	1.1066%
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%	92.6119	65.4904%	1.4904%
Difference	+2	+250.0163	+0.9351%	+105000	-8605000	-1.9409	-0.9843%	+248.0753	+0.5512%	+0.5512%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁷

333.3531

64.9351%

705000

13395000

7.3341

3.1558%

340.6872

66.0416%

1.1066%

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%

92.6119

65.4904%

1.4904%

Difference

+250.0163

+0.9351%

+105000

-8605000

-1.9409

-0.9843%

+248.0753

+0.5512%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2019-07-05T19:33:04	Alvin Bunk	i7-Core	705000	13395000	12	-		-	-	7.334	-	-	3.156%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2019-07-05T19:33:04

Alvin Bunk

i7-Core

705000

13395000

7.334

-

-

3.156%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-01-08T11:20:00	Architects Cubed	m1_06	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	-	-
2013-11-26T03:44:00	Per Jessen	beaufort2	2⁶⁷	2⁶⁸		-	-	0.326	-	-
2014-06-04T14:34:00	CSLatDD	ikenny-24	2⁶⁸	2⁶⁹		-	-	0.651	-	-
2014-06-09T09:37:00	Ivan Dimitrijevic	home	2⁶⁹	2⁷⁰		-	-	1.302	-	-
2014-09-12T18:25:00	ANONYMOUS	Manual testing	2⁷⁰	2⁷¹		-	-	2.604	-	-
2018-03-17T00:17:50	Yizhe Huang	Manual testing	2⁷¹	2⁷²		-	-	5.209	-	-
2018-08-18T13:20:22	1997rj7	Manual testing	2⁷²	2⁷³		-	-	10.42	-	-
2018-08-23T09:00:07	Tim Sorbera	Manual testing	2⁷³	2⁷⁴		-	-	20.83	-	-
2019-01-13T21:46:48	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	41.67	-	-
2019-01-13T21:46:48	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	83.34	-	-
2019-04-07T21:38:24	TheJudger	Manual testing	2⁷⁶	2⁷⁷		-	-	166.7	-	-

date	userid	compid	res64	spent (GHz-days)
2020-05-22T15:37:25	-Anonymous-		5A28B3A12DB46F__	332.6

date

userid

compid

res64

spent (GHz-days)

2020-05-22T15:37:25

-Anonymous-

5A28B3A12DB46F__

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 = 705000, B2 = 13395000 (P-1 stage 2)

B1 = 705000 (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