M239119 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	unknown	30000000	10120247026890	4,486.3114	72.8983%	4,486.3114	72.8983%	72.8983%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	65000	0.0000	13.9258%	0.0000	61.2666%	6.2666%
GPU72	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.0907%	0.0001	63.2189%	4.1280%
Difference	-44	0.0000	-59.0909%	+29995500	+10120246916890	+4,486.3113	+62.8076%	+4,486.3113	+9.6793%	+68.7702%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

30000000

10120247026890

4,486.3114

72.8983%

4,486.3114

72.8983%

PrimeNet

2⁴⁰

0.0000

55.0000%

2600

65000

0.0000

13.9258%

0.0000

61.2666%

6.2666%

GPU72

2⁴⁴

0.0000

59.0909%

4500

110000

0.0001

10.0907%

0.0001

63.2189%

4.1280%

Difference

-44

0.0000

-59.0909%

+29995500

+10120246916890

+4,486.3113

+62.8076%

+4,486.3113

+9.6793%

+68.7702%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
239119	13868903	8	23.725	29 29	-	1	29	4.703e-12	2.055e-8	2.055e-8
239119	249670674723205994520209	24	77.724	522063647646581816 2³ × 103 × 853 × 742757781853	2020-01-07	853	742757781853	149,504	329.25	614.94
239119	212381331667662033847003656413805352059577410799	48	157.217	444091292761474483096290249653530986788121 3 × 71 × 5573 × 79999 × 830887 × 1653749 × 5047213 × 674304195209	2022-04-04	5047213	674304195209	6.427e+11	298.94	558.27

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

239119

13868903

23.725

29
29

4.703e-12

2.055e-8

239119

249670674723205994520209

77.724

522063647646581816
2³ × 103 × 853 × 742757781853

2020-01-07

853

742757781853

149,504

329.25

614.94

239119

212381331667662033847003656413805352059577410799

157.217

444091292761474483096290249653530986788121
3 × 71 × 5573 × 79999 × 830887 × 1653749 × 5047213 × 674304195209

2022-04-04

5047213

674304195209

6.427e+11

298.94

558.27

exponent	prime factors	composite factor	digits	bits*
239119	13868903 249670674723205994520209	3462658369680695787019310160727	31	101.450
239119	13868903 212381331667662033847003656413805352059577410799	29454960879096329842068105514483942885951293313624 83497	55	180.943
239119	249670674723205994520209 212381331667662033847003656413805352059577410799	53025390376078176181030094787185927377418480367497 105512397834500336991	71	234.942
239119	13868903 249670674723205994520209 212381331667662033847003656413805352059577410799	73540399566296174587161682468428726976246129462422 1709132210864095227195490873	78	258.667

exponent

prime factors

composite factor

digits

bits*

239119

13868903
249670674723205994520209

3462658369680695787019310160727

101.450

239119

13868903
212381331667662033847003656413805352059577410799

29454960879096329842068105514483942885951293313624
83497

180.943

239119

249670674723205994520209
212381331667662033847003656413805352059577410799

53025390376078176181030094787185927377418480367497
105512397834500336991

234.942

239119

13868903
249670674723205994520209
212381331667662033847003656413805352059577410799

73540399566296174587161682468428726976246129462422
1709132210864095227195490873

258.667

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-07-17T21:12:45	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 13868903	-	-	1.561	-	-	43.929%
2022-04-04T21:25:20	Oliver Kruse	Threadripper-PC	30000000	10120247026890			212381331667662033847003656413805352059577410799	48	157.217	4,486	0.003	8,973	63.031%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-07-17T21:12:45

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 13868903

1.561

-

-

43.929%

2022-04-04T21:25:20

Oliver Kruse

Threadripper-PC

30000000

10120247026890

212381331667662033847003656413805352059577410799

157.217

4,486

0.003

8,973

63.031%

ECM factoring results:

Total ECM effort:	11.707 GHz-days
Estimated T-Level:	27.928

Digits	B1	Complete	FacMiss
20	11000	41.353	0.000%
25	50000	5.732	0.324%
30	250000	0.586	55.676%
35	1000000	0.047	95.389%
40	3000000	0.003	99.688%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.678
250000	25000000		335	10.00
250000	25000000	249670674723205994520209	1	0.030

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-15T10:40:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-01-02T14:32:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-09-04T10:44:00	TJAOI	Manual testing	50000	5000000						90	0.537
2016-05-20T14:51:22	TJAOI	Manual testing	50000	5000000						91	0.543
2017-09-08T12:44:58	TJAOI	Manual testing	250000	25000000						44	1.313
2019-12-13T17:17:03	Ducho_YYZ	oracleSW2	250000	25000000						3	0.090
2019-12-14T19:21:02	Ducho_YYZ	oracleJP	250000	25000000						3	0.090
2019-12-15T15:27:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-16T19:23:16	kracker	O0	250000	25000000						3	0.090
2019-12-17T21:09:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-19T07:05:51	Ducho_YYZ	oracleSW2	250000	25000000						3	0.090
2019-12-20T12:46:02	Ducho_YYZ	oracleSW	250000	25000000						3	0.090
2019-12-21T14:59:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-22T23:35:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-24T08:15:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-26T02:39:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-28T22:01:22	astraeus	x7	250000	25000000						3	0.090
2019-12-29T23:33:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-31T22:15:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-03T01:20:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-05T02:01:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-07T05:38:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000	249670674723205994520209	77.724	1	2	1666058487327233	1	0.030
2020-01-12T14:59:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-12T15:03:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-12T15:09:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-14T13:27:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-16T17:44:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-19T01:01:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-21T10:40:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-23T17:17:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-26T02:57:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-28T16:09:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-31T13:08:10	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.090
2020-02-03T09:32:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-06T12:05:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-09T21:24:18	kracker	O0	250000	25000000						3	0.090
2020-02-13T09:24:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-17T05:57:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-20T07:28:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-24T01:31:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-27T07:53:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-02T03:16:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-06T20:43:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-12T17:55:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-18T09:02:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-27T13:14:31	Hans Loeblich	tomservo	250000	25000000						3	0.090
2020-04-14T17:52:33	Oliver Kruse	IOS-1	250000	25000000						3	0.090
2020-04-30T03:03:06	Greg	aws	250000	25000000						3	0.090
2020-05-04T07:19:41	Greg Hogan	azure3	250000	25000000						3	0.090
2020-05-14T03:49:55	kracker	O0	250000	25000000						3	0.090
2020-06-02T08:38:02	GAN	OSK-SCH03	250000	25000000						3	0.090
2020-06-17T21:24:35	-Anonymous-	aws-nano	250000	25000000						3	0.090
2020-06-27T10:37:46	nordi	sweet16	250000	25000000						3	0.090
2020-07-10T05:05:28	LOBES	TOSHIBA	250000	25000000						150	4.477

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