M85021099 Mersenne number exponent details

Residue

Status

L-L

EA7B738D4EC148__

needs double-check

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	2⁷⁶	180.0023	64.4737%	680000	13260000	6.3767	3.4256%	186.3790	65.6907%	3.7188%
PrimeNet	2⁷¹	5.6231	61.9718%	360000	17000000	5.9153	5.3813%	11.5383	64.0182%	2.0464%
GPU72	2⁷⁵	90.0001	64.0000%	550000	19000000	7.2631	3.9443%	97.2633	65.4199%	1.4199%
Difference	+1	+90.0022	+0.4737%	+130000	-5740000	-0.8865	-0.5186%	+89.1157	+0.2707%	+0.2707%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

180.0023

64.4737%

680000

13260000

6.3767

3.4256%

186.3790

65.6907%

3.7188%

PrimeNet

2⁷¹

5.6231

61.9718%

360000

17000000

5.9153

5.3813%

11.5383

64.0182%

2.0464%

GPU72

2⁷⁵

90.0001

64.0000%

550000

19000000

7.2631

3.9443%

97.2633

65.4199%

1.4199%

Difference

+90.0022

+0.4737%

+130000

-5740000

-0.8865

-0.5186%

+89.1157

+0.2707%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2018-05-05T04:31:54	Architects Cubed	a3_ac	680000	13260000	6	-		-	-	6.377	-	-	3.426%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2018-05-05T04:31:54

Architects Cubed

a3_ac

680000

13260000

6.377

-

-

3.426%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-04-28T10:37:53	ATH	Manual testing	2¹	2⁶³		-	-	0.019	-	-
2019-04-28T10:37:53	ATH	Manual testing	2⁶³	2⁶⁴		-	-	0.023	-	-
2010-11-24T04:30:00	For Research	m1_16	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2012-10-06T14:24:00	kracker	Manual testing	2⁶⁵	2⁶⁶		-	-	0.088	-	-
2013-01-26T02:16:00	E.Lechner		2⁶⁶	2⁶⁷		-	-	0.176	-	-
2013-06-16T22:38:00	SMoffat	Manual testing	2⁶⁷	2⁶⁸		-	-	0.352	-	-
2013-06-18T02:20:00	SMoffat	Manual testing	2⁶⁸	2⁶⁹		-	-	0.703	-	-
2013-06-19T01:42:00	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.406	-	-
2013-07-22T01:39:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	2.813	-	-
2017-02-19T03:56:30	ANONYMOUS	Manual testing	2⁷¹	2⁷²		-	-	5.625	-	-
2017-02-19T03:56:30	ANONYMOUS	Manual testing	2⁷²	2⁷³		-	-	11.25	-	-
2017-02-19T03:56:30	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.50	-	-
2017-07-16T14:49:58	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	45.00	-	-
2017-07-16T14:49:58	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	90.00	-	-

date	userid	compid	res64	spent (GHz-days)
2019-05-09T02:10:53	adamshomeinc	VRSIM	EA7B738D4EC148__	273.8

date

userid

compid

res64

spent (GHz-days)

2019-05-09T02:10:53

adamshomeinc

VRSIM

EA7B738D4EC148__

273.8

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 = 680000, B2 = 13260000 (stage 2)

B1 = 680000 (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