M289789 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	50000	50000	0.0005	14.9009%	0.0005	14.9009%	14.9009%
PrimeNet	2⁴⁰	0.0000	52.5000%	3000	80000	0.0001	15.0827%	0.0001	59.6643%	7.1643%
GPU72	2⁴⁴	0.0000	56.8182%	5500	140000	0.0001	11.1871%	0.0001	61.6490%	4.8308%
Difference	-44	0.0000	-56.8182%	+44500	-90000	+0.0004	+3.7139%	+0.0004	-46.7480%	-46.7480%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

50000

0.0005

14.9009%

0.0005

14.9009%

PrimeNet

2⁴⁰

0.0000

52.5000%

3000

80000

0.0001

15.0827%

0.0001

59.6643%

7.1643%

GPU72

2⁴⁴

0.0000

56.8182%

5500

140000

0.0001

11.1871%

0.0001

61.6490%

4.8308%

Difference

-44

0.0000

-56.8182%

+44500

-90000

+0.0004

+3.7139%

+0.0004

-46.7480%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
289789	21545812151	11	34.327	37175 5² × 1487	-	25	1487	8.265e-9	1.037e-6	1.496e-6
289789	493545105622712739047	21	68.742	851559420169007 11 × 83 × 331 × 24709 × 114041	2014-09-26	24709	114041	371.21	0.0003	0.0005
289789	75593232163993815783204345943	29	95.932	130428056558381815360839 3 × 14737 × 1085677 × 2717315383537	2020-09-29	1085677	2717315383537	4.626e+10	1,466.9	2,739.8

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

289789

21545812151

34.327

37175
5² × 1487

1487

8.265e-9

1.037e-6

1.496e-6

289789

493545105622712739047

68.742

851559420169007
11 × 83 × 331 × 24709 × 114041

2014-09-26

24709

114041

371.21

0.0003

0.0005

289789

75593232163993815783204345943

95.932

130428056558381815360839
3 × 14737 × 1085677 × 2717315383537

2020-09-29

1085677

2717315383537

4.626e+10

1,466.9

2,739.8

exponent	prime factors	composite factor	digits	bits*
289789	21545812151 493545105622712739047	10633830133792422554541344760097	32	103.068
289789	21545812151 75593232163993815783204345943	1628717580092341980790619778534696953393	40	130.259
289789	493545105622712739047 75593232163993815783204345943	37308669752740573684328614272022576815679672136321	50	164.674
289789	21545812151 493545105622712739047 75593232163993815783204345943	80384559009624401803851829565913605490160196723844 1130236471	60	199.0007

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-06T16:48:25	Lisander Viaene	Manual testing	50000	50000		-	skipped known factor: 21545812151	-	-	0.000	-	-	9.711%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-02-06T16:48:25

Lisander Viaene

Manual testing

50000

skipped known factor: 21545812151

0.000

-

-

9.711%

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.387 GHz-days
Estimated T-Level:	28.008

Digits	B1	Curves	Complete	FacMiss
20	11000	663 / 100	6.630	0.128%
25	50000	663 / 280	2.368	9.329%
30	250000	385 / 640	0.602	54.770%

New Calculation Method

Total ECM effort:	17.387 GHz-days
Estimated T-Level:	28.008

Digits	B1	Complete	FacMiss
20	11000	41.051	0.000%
25	50000	5.548	0.389%
30	250000	0.563	56.928%
35	1000000	0.045	95.620%
40	3000000	0.003	99.707%

ECM Summary

B1	B2	factor	curves	GHz-days
		493545105622712739047	1	0.00000e+0
50000	5000000		278	2.035
250000	25000000		164	6.001
250000	25000000	75593232163993815783204345943	1	0.037
250000	36750000		220	9.315

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-09-26T12:10:00	TJAOI	Manual testing	50000	5000000						50	0.366
2014-09-26T12:10:00	TJAOI	Manual testing			493545105622712739047	68.742		1		1	-
2015-01-23T13:31:00	TJAOI	Manual testing	50000	5000000						47	0.344
2015-10-23T13:45:41	TJAOI	Manual testing	50000	5000000						90	0.659
2016-05-27T13:47:54	TJAOI	Manual testing	50000	5000000						91	0.666
2019-02-17T02:58:19	happy5214	Happy5214-2	250000	25000000						3	0.110
2019-02-22T21:54:04	happy5214	Cosmic	250000	25000000						3	0.110
2019-03-09T12:00:20	King	No.1_FactorFinder	250000	25000000						3	0.110
2019-04-05T11:26:32	TJAOI	Manual testing	250000	25000000						44	1.610
2020-07-02T04:58:01	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.110
2020-07-17T21:55:43	nordi	sweet16	250000	25000000						3	0.110
2020-07-26T01:15:24	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.110
2020-08-15T17:41:38	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.110
2020-09-29T06:29:22	nordi	sweet16	250000	25000000	75593232163993815783204345943	95.932	1	2	4338627842204896	1	0.037
2020-10-31T15:39:10	Chang Chia-Tche	exbpc13	250000	25000000						7	0.256
2020-11-23T10:21:03	MarkS	desktop-i7	250000	25000000						7	0.256
2020-12-07T08:20:43	nordi	sweet16	250000	25000000						7	0.256
2021-01-01T10:27:57	TJAOI	Manual testing	250000	25000000						78	2.854
2022-04-25T22:14:06	nordi	sweet16_ccx3	250000	36750000						220	9.315

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22T13:05:54

Oliver Kruse

Doppelherz

21545812151

493545105622712739047

A20D99D3E23D80__

2017-09-24T17:45:29

Oliver Kruse

Manual testing

21545812151

493545105622712739047

A20D99D3E23D80__

2017-09-29T18:25:12

alpertron

Manual testing

21545812151

493545105622712739047

A20D99D3E23D80__

2017-12-07T05:31:38

ATH

xps

21545812151

493545105622712739047

A20D99D3E23D80__

2020-04-17T22:12:08

Oliver Kruse

AddPrpType5

21545812151

493545105622712739047

0E9D11FBF537CD__

2020-09-29T06:34:41

M Miller

cruncher

21545812151

493545105622712739047

75593232163993815783204345943

0E9D11FBF537CDEB

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