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
Actual	unknown	30000000	10035812696910	5,417.9473	73.0585%	5,417.9473	73.0585%
Target	2⁴⁴	0.0000	59.0909%	5000	120000	0.0001	10.5533%	0.0001	63.4082%
Difference	-44	0.0000	-59.0909%	+29995000	+10035812576910	+5,417.9472	+62.5052%	+5,417.9472	+9.6503%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

unknown

30000000

10035812696910

5,417.9473

73.0585%

5,417.9473

73.0585%

Target

2⁴⁴

0.0000

59.0909%

5000

120000

0.0001

10.5533%

0.0001

63.4082%

Difference

-44

0.0000

-59.0909%

+29995000

+10035812576910

+5,417.9472

+62.5052%

+5,417.9472

+9.6503%

	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

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-10-24	kkmrkkblmbrbk	Manual testing	5000000	5000000			28754985893582569922567059092801625271	38	124.435	0.050	0.004	0.099	23.304%
2021-09-15	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 25002826319 skipped known factor: 28754985893582569922567059092801625271	-	-	1.901	-	-	44.100%
2022-05-02	Oliver Kruse	Threadripper-PC	30000000	10035812696910		-	skipped known factor: 25002826319 skipped known factor: 28754985893582569922567059092801625271	-	-	5,418	-	-	63.206%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-10-24

kkmrkkblmbrbk

Manual testing

5000000

28754985893582569922567059092801625271

124.435

0.050

0.004

0.099

23.304%

2021-09-15

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 25002826319
skipped known factor: 28754985893582569922567059092801625271

1.901

-

-

44.100%

2022-05-02

Oliver Kruse

Threadripper-PC

30000000

10035812696910

skipped known factor: 25002826319
skipped known factor: 28754985893582569922567059092801625271

5,418

-

-

63.206%

ECM factoring results:

Total ECM effort:	13.544 GHz-days
Estimated T-Level:	27.747

Digits	B1	Complete	FacMiss
20	11000	39.262	0.000%
25	50000	5.397	0.453%
30	250000	0.549	57.731%
35	1000000	0.044	95.677%
40	3000000	0.003	99.709%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	2.049
250000	25000000	258	9.405
250000	33500000	7	0.284
250000	34814366	7	0.288
250000	35250000	7	0.290
250000	36750000	22	0.927
250000	38500000	7	0.301

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-22	TJAOI	Manual testing	50000	5000000						50	0.365
2015-01-23	TJAOI	Manual testing	50000	5000000						50	0.365
2015-09-18	TJAOI	Manual testing	50000	5000000						90	0.656
2016-03-18	TJAOI	Manual testing	50000	5000000						91	0.663
2017-05-19	TJAOI	Manual testing	250000	25000000						44	1.604
2020-01-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-24	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.109
2020-01-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-13	kracker	O0	250000	25000000						3	0.109
2020-02-17	kracker	O0	250000	25000000						3	0.109
2020-02-20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-27	Naegi Makoto	1700	250000	25000000						3	0.109
2020-03-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-26	Hans Loeblich	tomservo	250000	25000000						3	0.109
2020-04-14	kracker	O0	250000	25000000						3	0.109
2020-04-30	-Anonymous-	aws-nano	250000	25000000						3	0.109
2020-05-04	Greg Hogan	azure4	250000	25000000						3	0.109
2020-05-13	nordi	sweet16	250000	25000000						3	0.109
2020-05-31	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-06-17	nordi	sweet16	250000	25000000						3	0.109
2020-06-27	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.109
2020-07-06	TJAOI	Manual testing	250000	25000000						25	0.911
2020-11-21	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2021-01-15	ZacHFX	Ryzen	250000	25000000						7	0.255
2021-02-07	Chang Chia-Tche	exbpc13	250000	25000000						7	0.255
2021-03-23	mnd9	consult	250000	25000000						7	0.255
2021-05-08	Chang Chia-Tche	exbpc13	250000	25000000						7	0.255
2021-07-01	Team_Inspector	SpudBoy4	250000	38500000						7	0.301
2021-08-09	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-09-16	Daniil Tsarkov	9900KF	250000	25000000						7	0.255
2021-10-18	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-12-07	mnd9	f4	250000	25000000						7	0.255
2022-02-18	mognuts	Strand	250000	33500000						7	0.284
2022-04-18	MarkS	laptop64	250000	25000000						7	0.255
2022-05-27	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.255
2022-06-19	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2022-07-12	happy5214	Focus	250000	35250000						7	0.290
2022-08-11	debrouxl	o9020	250000	36750000						7	0.295
2022-09-14	JackBlock	school2	250000	25000000						7	0.255
2022-09-14	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2022-10-07	debrouxl	dl380g9-1	250000	34814366						7	0.288
2022-10-29	debrouxl	dl380g9-1	250000	36750000						7	0.295
2022-12-04	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2023-01-09	debrouxl	o9020	250000	36750000						8	0.337

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