M273289 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	5550000	22789551330	12.3546	58.3419%	12.3546	58.3419%	58.3419%
PrimeNet	2⁴⁰	0.0000	52.5000%	2800	80000	0.0001	14.8524%	0.0001	59.5549%	7.0549%
GPU72	2⁴⁴	0.0000	56.8182%	5000	130000	0.0001	10.8001%	0.0001	61.4819%	4.6637%
Difference	-44	0.0000	-56.8182%	+5545000	+22789421330	+12.3544	+47.5418%	+12.3544	-3.1400%	-3.1400%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

5550000

22789551330

12.3546

58.3419%

12.3546

58.3419%

PrimeNet

2⁴⁰

0.0000

52.5000%

2800

80000

0.0001

14.8524%

0.0001

59.5549%

7.0549%

GPU72

2⁴⁴

0.0000

56.8182%

5000

130000

0.0001

10.8001%

0.0001

61.4819%

4.6637%

Difference

-44

0.0000

-56.8182%

+5545000

+22789421330

+12.3544

+47.5418%

+12.3544

-3.1400%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
273289	1665833646079	13	40.599	3047751 3² × 7² × 6911	-	49	6911	9.038e-7	4.190e-6	6.972e-6
273289	464919666893474967631	21	68.656	850600768588335 3² × 5 × 281 × 10589 × 6352607	2014-08-22	10589	6352607	363.70	0.0035	0.0064
273289	1584844718967719428957013050169	31	100.322	2899576490396099786228156 2² × 23 × 67 × 6203 × 4504441 × 16835625473	2020-09-20	4504441	16835625473	6.678e+11	9.1306	16.975

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

273289

1665833646079

40.599

3047751
3² × 7² × 6911

6911

9.038e-7

4.190e-6

6.972e-6

273289

464919666893474967631

68.656

850600768588335
3² × 5 × 281 × 10589 × 6352607

2014-08-22

10589

6352607

363.70

0.0035

0.0064

273289

1584844718967719428957013050169

100.322

2899576490396099786228156
2² × 23 × 67 × 6203 × 4504441 × 16835625473

2020-09-20

4504441

16835625473

6.678e+11

9.1306

16.975

exponent	prime factors	composite factor	digits	bits*
273289	1665833646079 464919666893474967631	774478823834991552623065235068849	33	109.255
273289	1665833646079 1584844718967719428957013050169	2640087656667044145442948861520210217137351	43	140.922
273289	464919666893474967631 1584844718967719428957013050169	73682547882035506567224964416346976264419185407963 9	51	168.978
273289	1665833646079 464919666893474967631 1584844718967719428957013050169	12274286739072170708901811159471431766052428282538 76166206085481	64	209.577

exponent

prime factors

composite factor

digits

bits*

273289

1665833646079
464919666893474967631

774478823834991552623065235068849

109.255

273289

1665833646079
1584844718967719428957013050169

2640087656667044145442948861520210217137351

140.922

273289

464919666893474967631
1584844718967719428957013050169

73682547882035506567224964416346976264419185407963
9

168.978

273289

1665833646079
464919666893474967631
1584844718967719428957013050169

12274286739072170708901811159471431766052428282538
76166206085481

209.577

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-01-03T17:57:58	Lisander Viaene	Manual testing	100000	100000		-	skipped known factor: 1665833646079	-	-	0.001	-	-	11.635%
2022-03-20T02:22:05	Lisander Viaene	Desktop	5550000	5550000		-	skipped known factor: 1665833646079	-	-	0.055	-	-	23.695%
2022-03-21T00:12:01	Lisander Viaene	Desktop	5550000	22789551330		-	skipped known factor: 1665833646079 skipped known factor: 464919666893474967631 skipped known factor: 1584844718967719428957013050169	-	-	12.35	-	-	48.621%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-01-03T17:57:58

Lisander Viaene

Manual testing

100000

skipped known factor: 1665833646079

0.001

-

-

11.635%

2022-03-20T02:22:05

Lisander Viaene

Desktop

5550000

skipped known factor: 1665833646079

0.055

-

-

23.695%

2022-03-21T00:12:01

Lisander Viaene

Desktop

5550000

22789551330

skipped known factor: 1665833646079
skipped known factor: 464919666893474967631
skipped known factor: 1584844718967719428957013050169

12.35

-

-

48.621%

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.916 GHz-days
Estimated T-Level:	26.617

Digits	B1	Curves	Complete	FacMiss
20	11000	488 / 100	4.880	0.741%
25	50000	488 / 280	1.743	17.447%
30	250000	207 / 640	0.323	72.347%

New Calculation Method

Total ECM effort:	9.916 GHz-days
Estimated T-Level:	26.617

Digits	B1	Complete	FacMiss
20	11000	26.315	0.000%
25	50000	3.351	3.505%
30	250000	0.324	72.311%
35	1000000	0.025	97.524%
40	3000000	0.002	99.839%

ECM Summary

B1	B2	factor	curves	GHz-days
		464919666893474967631	1	0.00000e+0
50000	5000000		281	2.052
250000	25000000		153	5.587
250000	25000000	1584844718967719428957013050169	1	0.037
250000	35000000		18	0.745
250000	36750000		14	0.591
250000	38500000		21	0.905

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-22T10:15:00	TJAOI	Manual testing	50000	5000000						50	0.365
2014-08-22T10:16:00	TJAOI	Manual testing			464919666893474967631	68.656		1		1	-
2015-01-16T11:44:00	TJAOI	Manual testing	50000	5000000						50	0.365
2015-10-30T13:18:03	TJAOI	Manual testing	50000	5000000						90	0.657
2016-06-03T16:10:00	TJAOI	Manual testing	50000	5000000						91	0.665
2017-08-18T15:24:36	TJAOI	Manual testing	250000	25000000						44	1.607
2020-02-13T23:30:57	kracker	O0	250000	25000000						3	0.110
2020-02-17T18:52:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-02-20T21:45:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-02-24T21:18:47	MarkS	desktop-i7	250000	25000000						3	0.110
2020-02-27T20:09:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-03T03:54:24	-Anonymous-	aws-nano	250000	25000000						3	0.110
2020-03-07T17:21:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-13T16:49:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-19T07:21:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-04-02T16:36:16	Daniil Tsarkov	9900	250000	25000000						3	0.110
2020-04-17T06:09:59	Oliver Kruse	IOS-1	250000	25000000						3	0.110
2020-04-30T18:11:40	Greg	azure2	250000	25000000						3	0.110
2020-05-05T03:00:43	Greg Hogan	azure2	250000	25000000						3	0.110
2020-05-16T22:44:43	Chang Chia-Tche	exbpc13	250000	25000000						3	0.110
2020-06-04T05:03:58	-Anonymous-	aws-nano	250000	25000000						3	0.110
2020-06-19T12:40:25	-Anonymous-	aws-nano	250000	25000000						3	0.110
2020-06-28T11:32:25	-Anonymous-	aws-nano	250000	25000000						3	0.110
2020-07-12T08:16:46	argusdusty	Argus-PC	250000	25000000						3	0.110
2020-07-13T17:35:49	argusdusty	Manual testing	250000	25000000						3	0.110
2020-08-07T21:37:02	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.110
2020-09-20T04:20:18	MarkS	desktop-i7	250000	25000000	1584844718967719428957013050169	100.322	1	2	7112013955071156	1	0.037
2020-09-28T12:19:47	nordi	sweet16	250000	25000000						7	0.256
2020-10-29T17:29:38	Ahmed Azhad	c5.large.az	250000	25000000						7	0.256
2020-11-20T00:02:00	nordi	sweet16	250000	25000000						7	0.256
2021-01-11T16:17:43	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2021-02-05T06:25:12	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2021-02-26T17:47:44	TJAOI	Manual testing	250000	35000000						18	0.745
2021-07-26T08:20:26	volki	home	250000	25000000						7	0.256
2021-08-29T22:06:11	Dylan Delgado	laptop-ryzen73700	250000	38500000						7	0.302
2021-10-07T04:49:53	Dylan Delgado	colab	250000	38500000						7	0.302
2021-12-03T17:47:01	Luminescence	W-2295	250000	36750000						7	0.296
2022-02-19T06:59:35	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.256
2022-04-10T01:55:28	Dylan Delgado	colab	250000	38500000						7	0.302
2022-05-28T06:24:00	debrouxl	o9020	250000	36750000						7	0.296

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22T10:19:38

Oliver Kruse

Ollaptop

1665833646079

464919666893474967631

476F48A4EB7BEC__

2017-09-22T20:35:40

Oliver Kruse

Manual testing

1665833646079

464919666893474967631

476F48A4EB7BEC__

2017-10-13T05:48:10

Oliver Kruse

Threadripper

9F228D45E957DA__

2017-10-13T05:55:10

Oliver Kruse

Threadripper

476F48A4EB7BEC__

2017-11-02T10:45:33

kkmrkkblmbrbk

c4.xlarge

1665833646079

464919666893474967631

9F228D45E957DA__

2019-04-09T04:26:56

kkmrkkblmbrbk

c5.large

1665833646079

464919666893474967631

476F48A4EB7BEC9D

2020-09-20T18:15:08

mnd9

1665833646079

464919666893474967631

1584844718967719428957013050169

9F228D45E957DA19

2020-09-20T22:57:06

pew

10980xe_1

1665833646079

464919666893474967631

1584844718967719428957013050169

9F228D45E957DA19

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