M92419 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	321.5131	74.6269%	100000000	2000000000	0.6558	11.6555%	322.1689	77.5842%	20.0842%
PrimeNet	2⁴⁰	0.0000	57.5000%	1000	16000	0.0000	7.4386%	0.0000	60.6614%	3.1614%
GPU72	2⁴⁴	0.0000	61.3636%	900	12000	0.0000	3.2786%	0.0000	62.6304%	1.2667%
Difference	+23	+321.5131	+13.2632%	+99999100	+1999988000	+0.6558	+8.3769%	+322.1688	+14.9539%	+14.9539%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

321.5131

74.6269%

100000000

2000000000

0.6558

11.6555%

322.1689

77.5842%

20.0842%

PrimeNet

2⁴⁰

0.0000

57.5000%

1000

16000

0.0000

7.4386%

0.0000

60.6614%

3.1614%

GPU72

2⁴⁴

0.0000

61.3636%

900

12000

0.0000

3.2786%

0.0000

62.6304%

1.2667%

Difference

+23

+321.5131

+13.2632%

+99999100

+1999988000

+0.6558

+8.3769%

+322.1688

+14.9539%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
92419	11568624261770037641	20	63.327	62587910828780 2² × 5 × 163 × 8191 × 2343883	2014-04-23	8191	2343883	18.465	0.0004	0.0008
92419	1700634613992834054581199473	28	90.458	9200676343570229360744 2³ × 11 × 10529 × 9930016171321447	2017-03-29	10529	9930016171321447	3.514e+9	1,743,270	3,255,942
92419	26566754812550500792150275766183	32	104.389	143729940880936283622146289 3³ × 332567 × 1031519539 × 15517682839	2021-04-29	1031519539	15517682839	1.535e+12	5.8669	6.7645

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

92419

11568624261770037641

63.327

62587910828780
2² × 5 × 163 × 8191 × 2343883

2014-04-23

8191

2343883

18.465

0.0004

0.0008

92419

1700634613992834054581199473

90.458

9200676343570229360744
2³ × 11 × 10529 × 9930016171321447

2017-03-29

10529

9930016171321447

3.514e+9

1,743,270

3,255,942

92419

26566754812550500792150275766183

104.389

143729940880936283622146289
3³ × 332567 × 1031519539 × 15517682839

2021-04-29

1031519539

15517682839

1.535e+12

5.8669

6.7645

exponent	prime factors	composite factor	digits	bits*
92419	11568624261770037641 1700634613992834054581199473	19674002855843422790337049944122386538139363193	47	153.785
92419	11568624261770037641 26566754812550500792150275766183	30734080428096763195665118340986104683425402489430 3	51	167.716
92419	1700634613992834054581199473 26566754812550500792150275766183	45180342815684087355223785343041239204620246807992 230821559	59	194.848
92419	11568624261770037641 1700634613992834054581199473 26566754812550500792150275766183	52267441005261054889064588063201754007871998211758 9221334663526611059784302319	78	258.174

exponent

prime factors

composite factor

digits

bits*

92419

11568624261770037641
1700634613992834054581199473

19674002855843422790337049944122386538139363193

153.785

92419

11568624261770037641
26566754812550500792150275766183

30734080428096763195665118340986104683425402489430
3

167.716

92419

1700634613992834054581199473
26566754812550500792150275766183

45180342815684087355223785343041239204620246807992
230821559

194.848

92419

11568624261770037641
1700634613992834054581199473
26566754812550500792150275766183

52267441005261054889064588063201754007871998211758
9221334663526611059784302319

258.174

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-12-18T02:56:53	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-		-	-	0.656	-	-	11.656%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-12-18T02:56:53

kkmrkkblmbrbk

Manual testing

100000000

2000000000

0.656

-

-

11.656%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-04-24T07:23:47	nordi	sweet16	40000000	5240000000	2	7			-	-	1.091
2021-04-29T20:38:32	nordi	sweet16	40000000	5240000000	6	5	26566754812550500792150275766183	P+1	32	104.389	1.091

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2021-04-24T07:23:47

nordi

sweet16

40000000

5240000000

1.091

2021-04-29T20:38:32

nordi

sweet16

40000000

5240000000

26566754812550500792150275766183

P+1

104.389

1.091

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-10-29T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.006	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

1999-10-29T00:00:00

ANONYMOUS

v4_computers

2⁵²

2⁵³

0.006

-

-

ECM factoring results:

Total ECM effort:	13.981 GHz-days
Estimated T-Level:	30.446

Digits	B1	Curves	Complete	FacMiss
20	11000	1030 / 100	10.300	0.003%
25	50000	1000 / 280	3.571	2.794%
30	250000	726 / 640	1.134	32.134%
35	1000000	141 / 1580	0.089	91.460%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	1100000		30	0.015
50000	5000000		274	0.636
250000	25000000		512	5.940
250000	25000000	1700634613992834054581199473	73	0.847
1000000	100000000		141	6.543

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-11-02T16:28:00	Matthias Wurtinger	AMD_Funzel	11000	1100000						30	0.015
2011-01-07T02:50:00	James Hintz	NEW_OMFG	50000	5000000						3	0.007
2011-01-20T17:28:00	James Hintz	NEW_OMFG	50000	5000000						10	0.023
2011-01-28T14:42:00	James Hintz	OMFG	50000	5000000						10	0.023
2011-02-17T13:07:00	James Hintz	NEW_OMFG	50000	5000000						10	0.023
2011-02-24T10:01:00	James Hintz	NEW_OMFG	50000	5000000						10	0.023
2011-05-03T03:29:00	James Hintz	NEW_OMFG	50000	5000000						50	0.116
2014-07-28T12:44:00	TJAOI	Manual testing	50000	5000000						181	0.420
2017-01-20T21:24:15	TJAOI	Manual testing	250000	25000000						44	0.510
2017-03-29T10:21:51	kkmrkkblmbrbk	x116xl	250000	25000000	1700634613992834054581199473	90.458	73	2		73	0.847
2017-03-30T05:44:44	kkmrkkblmbrbk	x116xl	250000	25000000						468	5.429
2018-12-30T19:52:47	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-01-04T20:40:31	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-01-09T22:55:23	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-01-13T15:24:46	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-01-17T09:25:37	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-01-23T17:25:48	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-01-29T00:27:00	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-03T10:21:28	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-08T20:22:57	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-14T07:44:54	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-19T21:06:43	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-25T10:29:06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-02T21:54:41	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-03-08T02:05:40	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-12T01:44:08	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-18T14:16:16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-03-24T15:30:31	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-30T14:17:40	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-05T03:54:29	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-04-10T18:37:16	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-19T05:37:42	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-26T15:04:37	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-03T14:15:05	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-05-10T14:46:55	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-16T05:14:34	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-05-26T08:56:47	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-05T16:55:57	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-15T23:57:14	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-26T06:43:05	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-07-21T17:18:34	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-07-28T08:19:16	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-04T01:21:40	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-10T16:38:29	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-17T06:39:54	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-23T22:19:09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-08-30T15:58:03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-09-06T05:00:42	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-12T23:41:10	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-19T16:07:26	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-26T11:48:14	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-03T04:13:40	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-09T20:19:55	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-16T13:52:33	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-23T08:44:25	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-30T01:09:30	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-11-05T14:18:08	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-11-12T05:13:32	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139

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