M194647 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	2⁶⁷	152.6554	73.1343%	100000000	2000000000	1.3607	12.3066%	154.0161	76.4406%	3.3063%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	50000	0.0000	12.4352%	0.0000	60.5958%	5.5958%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8255%	0.0001	62.7013%	3.6104%
Difference	+23	+152.6554	+14.0434%	+99996400	+1999920000	+1.3607	+3.4811%	+154.0161	+13.7392%	+13.7392%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

152.6554

73.1343%

100000000

2000000000

1.3607

12.3066%

154.0161

76.4406%

3.3063%

PrimeNet

2⁴⁰

0.0000

55.0000%

2000

50000

0.0000

12.4352%

0.0000

60.5958%

5.5958%

GPU72

2⁴⁴

0.0000

59.0909%

3600

80000

0.0001

8.8255%

0.0001

62.7013%

3.6104%

Difference

+23

+152.6554

+14.0434%

+99996400

+1999920000

+1.3607

+3.4811%

+154.0161

+13.7392%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
194647	77858801	8	26.214	200 2³ × 5²	-	25	25	4.792e-11	1.672e-7	3.402e-7
194647	817517401	9	29.607	2100 2² × 3 × 5² × 7	2008-07-27	25	25	5.345e-10	1.672e-7	3.402e-7
194647	179087388808806791	18	57.313	460031207285 5 × 13 × 1091 × 6487079	2014-07-28	1091	6487079	0.1372	0.0024	0.0044

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

194647

77858801

26.214

200
2³ × 5²

4.792e-11

1.672e-7

3.402e-7

194647

817517401

29.607

2100
2² × 3 × 5² × 7

2008-07-27

5.345e-10

1.672e-7

3.402e-7

194647

179087388808806791

57.313

460031207285
5 × 13 × 1091 × 6487079

2014-07-28

1091

6487079

0.1372

0.0024

0.0044

exponent	prime factors	composite factor	digits	bits*
194647	77858801 817517401	63650924638496201	17	55.821
194647	77858801 179087388808806791	13943529366874514987917591	26	83.528
194647	817517401 179087388808806791	146407056650852213689470191	27	86.920
194647	77858801 817517401 179087388808806791	11399077888774428986057935396500991	35	113.134

exponent

prime factors

composite factor

digits

bits*

194647

77858801
817517401

63650924638496201

55.821

194647

77858801
179087388808806791

13943529366874514987917591

83.528

194647

817517401
179087388808806791

146407056650852213689470191

86.920

194647

77858801
817517401
179087388808806791

11399077888774428986057935396500991

113.134

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-09-02T03:39:09	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 77858801 skipped known factor: 817517401 skipped known factor: 179087388808806791	-	-	1.361	-	-	12.307%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2017-09-02T03:39:09

kkmrkkblmbrbk

Manual testing

100000000

2000000000

skipped known factor: 77858801
skipped known factor: 817517401
skipped known factor: 179087388808806791

1.361

-

-

12.307%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-04-22T06:48:45	nordi	sweet16	10000000	1000000000	2	7			-	-	0.455

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2021-04-22T06:48:45

nordi

sweet16

10000000

1000000000

0.455

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-27T10:50:00	J Feitsma	Manual testing	?	?	817517401	29.607	9	1.67018e-10	0.002	3.47016e-10

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2008-07-27T10:50:00

J Feitsma

Manual testing

817517401

29.607

1.67018e-10

0.002

3.47016e-10

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.637 GHz-days
Estimated T-Level:	28.609

Digits	B1	Curves	Complete	FacMiss
20	11000	743 / 100	7.430	0.057%
25	50000	743 / 280	2.654	7.007%
30	250000	462 / 640	0.722	48.557%

New Calculation Method

Total ECM effort:	12.637 GHz-days
Estimated T-Level:	28.609

Digits	B1	Complete	FacMiss
20	11000	47.565	0.000%
25	50000	6.386	0.169%
30	250000	0.651	52.140%
35	1000000	0.052	94.905%
40	3000000	0.003	99.657%

ECM Summary

B1	B2	factor	curves	GHz-days
		179087388808806791	1	0.00000e+0
50000	5000000		281	1.371
250000	25000000		462	11.27

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28T13:49:00	TJAOI	Manual testing	50000	5000000						50	0.244
2014-07-28T14:54:00	TJAOI	Manual testing			179087388808806791	57.313		1		1	-
2014-12-12T13:35:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-05T09:22:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-03-24T20:20:15	TJAOI	Manual testing	50000	5000000						91	0.444
2017-08-04T10:33:02	TJAOI	Manual testing	250000	25000000						44	1.073
2019-04-30T10:52:06	happy5214	Cosmic	250000	25000000						3	0.073
2019-06-01T20:39:24	happy5214	Cosmic	250000	25000000						3	0.073
2019-06-14T11:47:21	TJAOI	Manual testing	250000	25000000						100	2.439
2019-12-01T07:15:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T07:50:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T09:58:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T12:40:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T19:00:59	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-06T19:17:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T20:27:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T19:35:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T19:09:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T19:18:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T01:16:27	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-13T01:07:27	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-14T02:24:49	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-14T22:53:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T01:12:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T03:58:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T08:07:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19T13:09:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T18:56:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T07:59:25	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-23T16:48:14	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-24T20:15:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-26T19:37:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28T17:49:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-30T15:39:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-01T15:33:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-03T18:25:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-05T20:04:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T01:45:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T05:05:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-12T10:10:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-14T15:03:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16T19:18:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T04:22:51	kracker	O0	250000	25000000						3	0.073
2020-01-21T12:17:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23T18:58:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-26T04:45:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-28T18:06:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-31T11:52:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-03T11:39:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-06T16:33:05	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-09T22:16:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-13T11:57:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-17T08:44:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-20T12:44:22	kracker	O0	250000	25000000						3	0.073
2020-02-24T05:12:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-27T10:25:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-02T08:14:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-07T00:19:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-12T22:34:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-18T13:26:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-28T08:33:51	MarkS	desktop-i7	250000	25000000						3	0.073
2020-04-14T18:44:30	Oliver Kruse	Melissa	250000	25000000						3	0.073
2020-04-30T05:55:31	Greg	azure4	250000	25000000						3	0.073
2020-05-09T05:03:33	nordi	sweet16	250000	25000000						150	3.658

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