M61769089 Mersenne number exponent details

Residue

Status

L-L

89F6D273E8FE855C

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	61.9382	64.8649%	580000	10730000	3.8592	3.7596%	65.7974	66.1858%	1.3209%
PrimeNet	2⁷⁰	3.8684	62.8571%	260000	12000000	3.0643	5.1402%	6.9327	64.7664%	1.9092%
GPU72	2⁷⁴	61.9382	64.8649%	400000	13000000	3.7007	3.7200%	65.6389	66.1719%	1.3070%
Difference	-	-	-	+180000	-2270000	+0.1584	+0.0396%	+0.1584	+0.0139%	+0.0139%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

61.9382

64.8649%

580000

10730000

3.8592

3.7596%

65.7974

66.1858%

1.3209%

PrimeNet

2⁷⁰

3.8684

62.8571%

260000

12000000

3.0643

5.1402%

6.9327

64.7664%

1.9092%

GPU72

2⁷⁴

61.9382

64.8649%

400000

13000000

3.7007

3.7200%

65.6389

66.1719%

1.3070%

Difference

+180000

-2270000

+0.1584

+0.0396%

+0.1584

+0.0139%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-05-03T18:24:00	GrunwalderGIMP	Cloud2	580000	10730000		-		-	-	3.859	-	-	3.760%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-05-03T18:24:00

GrunwalderGIMP

Cloud2

580000

10730000

3.859

-

-

3.760%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-06-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2004-04-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.010	-	-
2016-02-23T17:06:58	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.016	-	-
2009-04-13T14:45:00	searchingforprimes	Harwich6	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-07-30T10:13:00	CD		2⁶⁴	2⁶⁵		-	-	0.060	-	-
2009-07-31T11:29:00	Sturle Sunde	graun.ifi	2⁶⁵	2⁶⁶		-	-	0.121	-	-
2009-10-06T01:42:00	arnaud	SRV-330	2⁶⁶	2⁶⁷		-	-	0.242	-	-
2009-10-17T09:46:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.484	-	-
2009-11-13T02:27:00	Per Jessen	beaufort1	2⁶⁸	2⁶⁹		-	-	0.968	-	-
2012-02-16T06:32:00	ANONYMOUS		2⁶⁹	2⁷⁰		-	-	1.936	-	-
2012-10-02T19:40:00	tmorrow	teapot	2⁷⁰	2⁷¹		-	-	3.871	-	-
2013-02-14T22:52:00	Cow_tipping	Manual testing	2⁷¹	2⁷²		-	-	7.743	-	-
2013-02-14T22:52:00	Cow_tipping	Manual testing	2⁷²	2⁷³		-	-	15.49	-	-
2016-02-23T18:20:22	AirSquirrels	Manual testing	2⁷³	2⁷⁴		-	-	30.97	-	-

date	userid	compid	res64	spent (GHz-days)
2013-06-10T20:26:00	Markus Werner	MW028	89F6D273E8FE855C	145.1
2021-06-22T17:36:02	arnaud	segepo	89F6D273E8FE855C	145.1

date

userid

compid

res64

spent (GHz-days)

2013-06-10T20:26:00

Markus Werner

MW028

89F6D273E8FE855C

145.1

2021-06-22T17:36:02

arnaud

segepo

89F6D273E8FE855C

145.1

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 = 580000, B2 = 10730000 (P-1 stage 2)

B1 = 580000 (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