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
Actual	unknown	30000000	10120247026890	4,486.3114	72.8983%	4,486.3114	72.8983%
Target	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.0907%	0.0001	63.2189%
Difference	-44	0.0000	-59.0909%	+29995500	+10120246916890	+4,486.3113	+62.8076%	+4,486.3113	+9.6793%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

unknown

30000000

10120247026890

4,486.3114

72.8983%

4,486.3114

72.8983%

Target

2⁴⁴

0.0000

59.0909%

4500

110000

0.0001

10.0907%

0.0001

63.2189%

Difference

-44

0.0000

-59.0909%

+29995500

+10120246916890

+4,486.3113

+62.8076%

+4,486.3113

+9.6793%

	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

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-07-17	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 13868903	-	-	1.561	-	-	43.929%
2022-04-04	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

2021-07-17

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 13868903

1.561

-

-

43.929%

2022-04-04

Oliver Kruse

Threadripper-PC

30000000

10120247026890

212381331667662033847003656413805352059577410799

157.217

4,486

0.003

8,973

63.031%

ECM factoring results:

Total ECM effort:	12.671 GHz-days
Estimated T-Level:	28.171

Digits	B1	Complete	FacMiss
20	11000	44.190	0.000%
25	50000	6.169	0.209%
30	250000	0.634	53.040%
35	1000000	0.051	94.999%
40	3000000	0.003	99.661%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.678
250000	25000000		342	10.21
250000	25000000	249670674723205994520209	1	0.030
250000	36250000		22	0.755

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-15	TJAOI	Manual testing	50000	5000000						50	0.298
2015-01-02	TJAOI	Manual testing	50000	5000000						50	0.298
2015-09-04	TJAOI	Manual testing	50000	5000000						90	0.537
2016-05-20	TJAOI	Manual testing	50000	5000000						91	0.543
2017-09-08	TJAOI	Manual testing	250000	25000000						44	1.313
2019-12-13	Ducho_YYZ	oracleSW2	250000	25000000						3	0.090
2019-12-14	Ducho_YYZ	oracleJP	250000	25000000						3	0.090
2019-12-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-16	kracker	O0	250000	25000000						3	0.090
2019-12-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-19	Ducho_YYZ	oracleSW2	250000	25000000						3	0.090
2019-12-20	Ducho_YYZ	oracleSW	250000	25000000						3	0.090
2019-12-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-28	astraeus	x7	250000	25000000						3	0.090
2019-12-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000	249670674723205994520209	77.724	1	2	1666058487327233	1	0.030
2020-01-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-31	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.090
2020-02-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-09	kracker	O0	250000	25000000						3	0.090
2020-02-13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-27	Hans Loeblich	tomservo	250000	25000000						3	0.090
2020-04-14	Oliver Kruse	IOS-1	250000	25000000						3	0.090
2020-04-30	Greg	aws	250000	25000000						3	0.090
2020-05-04	Greg Hogan	azure3	250000	25000000						3	0.090
2020-05-14	kracker	O0	250000	25000000						3	0.090
2020-06-02	GAN	OSK-SCH03	250000	25000000						3	0.090
2020-06-17	-Anonymous-	aws-nano	250000	25000000						3	0.090
2020-06-27	nordi	sweet16	250000	25000000						3	0.090
2020-07-10	LOBES	TOSHIBA	250000	25000000						150	4.477
2022-10-18	debrouxl	o9020	250000	36250000						7	0.240
2022-11-16	JackBlock	school1	250000	25000000						7	0.209
2022-12-18	debrouxl	o9020	250000	36250000						7	0.240
2023-02-03	debrouxl	dl380g9-1	250000	36250000						8	0.274

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