M107201071 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	285.5211	64.9351%	845000	16688750	10.1588	3.4454%	295.6798	68.3805%	5.8805%
PrimeNet	2⁷²	8.9209	62.5000%	450000	22000000	9.6586	5.4092%	18.5795	67.9092%	5.4092%
GPU72	2⁷⁶	142.7597	64.4737%	700000	24000000	11.7123	3.9757%	154.4720	68.4493%	3.9757%
Difference	+1	+142.7614	+0.4614%	+145000	-7311250	-1.5536	-0.5302%	+141.2078	-0.0688%	-0.0688%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁷

285.5211

64.9351%

845000

16688750

10.1588

3.4454%

295.6798

68.3805%

5.8805%

PrimeNet

2⁷²

8.9209

62.5000%

450000

22000000

9.6586

5.4092%

18.5795

67.9092%

5.4092%

GPU72

2⁷⁶

142.7597

64.4737%

700000

24000000

11.7123

3.9757%

154.4720

68.4493%

3.9757%

Difference

+142.7614

+0.4614%

+145000

-7311250

-1.5536

-0.5302%

+141.2078

-0.0688%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2020-10-23T20:16:11	RichD0	test_-_gpu72	845000	16688750	6	-		-	-	10.16	-	-	3.445%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2020-10-23T20:16:11

RichD0

test_-_gpu72

845000

16688750

10.16

-

-

3.445%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-24T13:19:00	sasaki3	MATE_J	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-07T09:34:00	oodaira	Win02	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-05-24T18:59:00	omiXorp	LLB05-990-01	2⁶⁵	2⁶⁶		-	-	0.070	-	-
2015-05-02T09:45:00	Judge Hale	Manual testing	2⁶⁶	2⁶⁸		-	-	0.418	-	-
2015-05-02T09:45:00	Judge Hale	Manual testing	2⁶⁸	2⁶⁹		-	-	0.558	-	-
2015-05-02T09:45:00	Judge Hale	Manual testing	2⁶⁹	2⁷⁰		-	-	1.115	-	-
2015-09-08T07:44:00	wuxiao	DNE_Jiang_QX	2⁷⁰	2⁷¹		-	-	2.231	-	-
2018-02-28T18:52:22	el grocco	Manual testing	2⁷¹	2⁷²		-	-	4.461	-	-
2020-02-29T20:54:36	el grocco	Manual testing	2⁷²	2⁷³		-	-	8.923	-	-
2020-03-06T22:41:17	Hans Loeblich	Manual testing	2⁷³	2⁷⁴		-	-	17.85	-	-
2020-03-12T06:18:10	LaurV	Manual testing	2⁷⁴	2⁷⁵		-	-	35.69	-	-
2020-09-18T02:17:02	ktony	GPU72_TF	2⁷⁵	2⁷⁶		-	-	71.38	-	-
2020-09-18T16:56:02	RichD0	GPU72_TF	2⁷⁶	2⁷⁷		-	-	142.8	-	-

date	userid	compid	res64	spent (GHz-days)
2021-01-30T00:29:04	Ilya Alexandrov	Katz_sPC	14B7C9F5E3F90E__	439.7

date

userid

compid

res64

spent (GHz-days)

2021-01-30T00:29:04

Ilya Alexandrov

Katz_sPC

14B7C9F5E3F90E__

439.7

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 = 845000, B2 = 16688750 (stage 2)

B1 = 845000 (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	<	123M	PrimeNet wavefront