M260213 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	3000000000	1.9006	52.4850%	1.9006	52.4850%	52.4850%
PrimeNet	2⁴⁰	0.0000	55.0000%	2800	70000	0.0001	14.4044%	0.0001	61.4820%	6.4820%
GPU72	2⁴⁴	0.0000	59.0909%	5000	120000	0.0001	10.5533%	0.0001	63.4082%	4.3172%
Difference	-44	0.0000	-59.0909%	+29995000	+2999880000	+1.9004	+41.9317%	+1.9004	-10.9232%	-10.9232%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

30000000

3000000000

1.9006

52.4850%

1.9006

52.4850%

PrimeNet

2⁴⁰

0.0000

55.0000%

2800

70000

0.0001

14.4044%

0.0001

61.4820%

6.4820%

GPU72

2⁴⁴

0.0000

59.0909%

5000

120000

0.0001

10.5533%

0.0001

63.4082%

4.3172%

Difference

-44

0.0000

-59.0909%

+29995000

+2999880000

+1.9004

+41.9317%

+1.9004

-10.9232%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
260213	25002826319	11	34.541	48043 107 × 449	-	107	449	1.230e-8	1.245e-6	2.158e-6
260213	28754985893582569922567059092801625271	38	124.435	55252785013782112966237388394895 5 × 7 × 19 × 83 × 109 × 3019 × 57947 × 60083 × 184903 × 4725397	2016-10-24	184903	4725397	5.476e+11	0.0043	0.0048

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

260213

25002826319

34.541

48043
107 × 449

107

449

1.230e-8

1.245e-6

2.158e-6

260213

28754985893582569922567059092801625271

124.435

55252785013782112966237388394895
5 × 7 × 19 × 83 × 109 × 3019 × 57947 × 60083 × 184903 × 4725397

2016-10-24

184903

4725397

5.476e+11

0.0043

0.0048

exponent	prime factors	composite factor	digits	bits*
260213	25002826319 28754985893582569922567059092801625271	718955918102540012459617457127928739771734307449	48	158.977

exponent

prime factors

composite factor

digits

bits*

260213

25002826319
28754985893582569922567059092801625271

718955918102540012459617457127928739771734307449

158.977

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-10-24T07:01:02	kkmrkkblmbrbk	Manual testing	5000000	5000000			28754985893582569922567059092801625271	38	124.435	0.050	0.004	0.099	23.304%
2021-09-15T14:17:22	Oliver Kruse	Ollaptop	30000000	3000000000	24	-		-	-	1.901	-	-	44.100%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-10-24T07:01:02

kkmrkkblmbrbk

Manual testing

5000000

28754985893582569922567059092801625271

124.435

0.050

0.004

0.099

23.304%

2021-09-15T14:17:22

Oliver Kruse

Ollaptop

30000000

3000000000

1.901

-

-

44.100%

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.713 GHz-days
Estimated T-Level:	26.633

Digits	B1	Curves	Complete	FacMiss
20	11000	490 / 100	4.900	0.727%
25	50000	490 / 280	1.750	17.323%
30	250000	209 / 640	0.327	72.122%

New Calculation Method

Total ECM effort:	9.713 GHz-days
Estimated T-Level:	26.633

Digits	B1	Complete	FacMiss
20	11000	26.481	0.000%
25	50000	3.345	3.526%
30	250000	0.323	72.388%
35	1000000	0.025	97.531%
40	3000000	0.002	99.840%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	2.049
250000	25000000	202	7.363
250000	38500000	7	0.301

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-22T10:14:00	TJAOI	Manual testing	50000	5000000						50	0.365
2015-01-23T13:29:00	TJAOI	Manual testing	50000	5000000						50	0.365
2015-09-18T09:51:00	TJAOI	Manual testing	50000	5000000						90	0.656
2016-03-18T10:45:39	TJAOI	Manual testing	50000	5000000						91	0.663
2017-05-19T20:17:54	TJAOI	Manual testing	250000	25000000						44	1.604
2020-01-14T11:34:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-16T15:37:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-18T22:55:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-21T08:26:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-24T11:38:07	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.109
2020-01-26T01:09:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-28T13:51:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-31T07:07:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-03T06:43:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-06T09:39:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-09T16:17:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-13T06:51:33	kracker	O0	250000	25000000						3	0.109
2020-02-17T05:09:20	kracker	O0	250000	25000000						3	0.109
2020-02-20T04:08:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-23T21:39:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-27T06:19:59	Naegi Makoto	1700	250000	25000000						3	0.109
2020-03-01T22:05:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-06T17:32:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-12T12:38:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-18T03:25:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-26T06:56:30	Hans Loeblich	tomservo	250000	25000000						3	0.109
2020-04-14T00:00:49	kracker	O0	250000	25000000						3	0.109
2020-04-30T06:29:44	-Anonymous-	aws-nano	250000	25000000						3	0.109
2020-05-04T02:56:44	Greg Hogan	azure4	250000	25000000						3	0.109
2020-05-13T13:32:46	nordi	sweet16	250000	25000000						3	0.109
2020-05-31T21:10:59	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-06-17T08:54:34	nordi	sweet16	250000	25000000						3	0.109
2020-06-27T00:47:08	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.109
2020-07-06T08:19:12	TJAOI	Manual testing	250000	25000000						25	0.911
2020-11-21T22:15:41	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2021-01-15T05:00:14	ZacHFX	Ryzen	250000	25000000						7	0.255
2021-02-07T16:57:10	Chang Chia-Tche	exbpc13	250000	25000000						7	0.255
2021-03-23T13:15:50	mnd9	consult	250000	25000000						7	0.255
2021-05-08T12:59:35	Chang Chia-Tche	exbpc13	250000	25000000						7	0.255
2021-07-01T18:32:01	Team_Inspector	SpudBoy4	250000	38500000						7	0.301
2021-08-09T16:41:51	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-09-16T22:01:59	Daniil Tsarkov	9900KF	250000	25000000						7	0.255

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