M93 011 557 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

8750AA668097C9__

unverified PRP test

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁷	329.0792	64.9351%	720000	13860000	7.5417	3.1924%	336.6208	66.0545%
Target	2⁷⁵	82.2684	64.0000%	600000	22000000	9.2751	4.1466%	91.5434	65.4928%
Difference	+2	+246.8108	+0.9351%	+120000	-8140000	-1.7334	-0.9542%	+245.0774	+0.5617%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

329.0792

64.9351%

720000

13860000

7.5417

3.1924%

336.6208

66.0545%

Target

2⁷⁵

82.2684

64.0000%

600000

22000000

9.2751

4.1466%

91.5434

65.4928%

Difference

+246.8108

+0.9351%

+120000

-8140000

-1.7334

-0.9542%

+245.0774

+0.5617%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2019-12-21	Hans Loeblich	tomservo	720000	13860000	12	-		-	-	7.542	-	-	3.192%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2019-12-21

Hans Loeblich

tomservo

720000

13860000

7.542

-

-

3.192%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-01-11	Architects Cubed	m1_64	2⁶⁴	2⁶⁵		-	-	0.040	-	-
2013-07-17	David Campeau	Manual testing	2⁶⁵	2⁶⁶		-	-	0.080	-	-
2014-02-09	Ryan Propper	Manual testing	2⁶⁶	2⁶⁷		-	-	0.161	-	-
2014-02-09	Ryan Propper	Manual testing	2⁶⁷	2⁶⁸		-	-	0.321	-	-
2014-02-09	Ryan Propper	Manual testing	2⁶⁸	2⁶⁹		-	-	0.643	-	-
2014-02-10	Ryan Propper	Manual testing	2⁶⁹	2⁷⁰		-	-	1.285	-	-
2014-09-19	shauge	Manual testing	2⁷⁰	2⁷¹		-	-	2.571	-	-
2018-05-27	Xie Shiquan	Manual testing	2⁷¹	2⁷²		-	-	5.142	-	-
2019-02-11	Derek	Manual testing	2⁷²	2⁷³		-	-	10.28	-	-
2019-03-07	Kriesel	Manual testing	2⁷³	2⁷⁴		-	-	20.57	-	-
2019-03-10	Kriesel	Manual testing	2⁷⁴	2⁷⁵		-	-	41.14	-	-
2019-03-28	Kriesel	Manual testing	2⁷⁵	2⁷⁶		-	-	82.27	-	-
2019-08-12	TheJudger	Manual testing	2⁷⁶	2⁷⁷		-	-	164.5	-	-

date	userid	compid	cofactors	res64	PRP
2020-02-07	Ben Delo	i-01a31bd4e0da7433a		8750AA668097C9__	no

date

userid

compid

cofactors

res64

PRP

2020-02-07

Ben Delo

i-01a31bd4e0da7433a

8750AA668097C9__

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 = 720000, B2 = 13860000 (P-1 stage 2)

B1 = 720000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁷

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

this exponent TF target: 75

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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