M259429 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	10035812696910	5,417.9473	73.0521%	5,417.9473	73.0521%	73.0521%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	70000	0.0001	14.2806%	0.0001	61.4263%	6.4263%
GPU72	2⁴⁴	0.0000	59.0909%	5000	120000	0.0001	10.5485%	0.0001	63.4062%	4.3153%
Difference	-44	0.0000	-59.0909%	+29995000	+10035812576910	+5,417.9472	+62.5037%	+5,417.9472	+9.6459%	+9.6459%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

30000000

10035812696910

5,417.9473

73.0521%

5,417.9473

73.0521%

PrimeNet

2⁴⁰

0.0000

55.0000%

2600

70000

0.0001

14.2806%

0.0001

61.4263%

6.4263%

GPU72

2⁴⁴

0.0000

59.0909%

5000

120000

0.0001

10.5485%

0.0001

63.4062%

4.3153%

Difference

-44

0.0000

-59.0909%

+29995000

+10035812576910

+5,417.9472

+62.5037%

+5,417.9472

+9.6459%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
259429	147290814751	12	37.100	283875 3 × 5³ × 757	-	125	757	1.020e-7	1.580e-6	2.521e-6
259429	145853554474529894969681	24	76.949	281104954485677960 2³ × 5 × 11 × 47 × 2792087 × 4868431	2015-09-18	2792087	4868431	73,037	0.0288	0.0563
259429	65772865962363774195164737391	29	95.731	126764675426347428766955 5 × 61 × 413111 × 1006077995124221	2020-05-25	413111	1006077995124221	6.008e+10	543,114	1,014,387

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

259429

147290814751

37.100

283875
3 × 5³ × 757

125

757

1.020e-7

1.580e-6

2.521e-6

259429

145853554474529894969681

76.949

281104954485677960
2³ × 5 × 11 × 47 × 2792087 × 4868431

2015-09-18

2792087

4868431

73,037

0.0288

0.0563

259429

65772865962363774195164737391

95.731

126764675426347428766955
5 × 61 × 413111 × 1006077995124221

2020-05-25

413111

1006077995124221

6.008e+10

543,114

1,014,387

exponent	prime factors	composite factor	digits	bits*
259429	147290814751 145853554474529894969681	21482888872882869907790770932564431	35	114.049
259429	147290814751 65772865962363774195164737391	9687739016104876003053203454985344054641	40	132.831
259429	145853554474529894969681 65772865962363774195164737391	95932062885875778841936547614763626860306042720422 71	52	172.680
259429	147290814751 145853554474529894969681 65772865962363774195164737391	14129911703204811795805521344822640276534225093499 67346302339521	64	209.780

exponent

prime factors

composite factor

digits

bits*

259429

147290814751
145853554474529894969681

21482888872882869907790770932564431

114.049

259429

147290814751
65772865962363774195164737391

9687739016104876003053203454985344054641

132.831

259429

145853554474529894969681
65772865962363774195164737391

95932062885875778841936547614763626860306042720422
71

172.680

259429

147290814751
145853554474529894969681
65772865962363774195164737391

14129911703204811795805521344822640276534225093499
67346302339521

209.780

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-09-06T08:44:27	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 147290814751 skipped known factor: 145853554474529894969681	-	-	1.901	-	-	44.094%
2022-05-01T12:59:05	Oliver Kruse	Threadripper-PC	30000000	10035812696910		-	skipped known factor: 147290814751 skipped known factor: 145853554474529894969681	-	-	5,418	-	-	63.199%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-09-06T08:44:27

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 147290814751
skipped known factor: 145853554474529894969681

1.901

-

-

44.094%

2022-05-01T12:59:05

Oliver Kruse

Threadripper-PC

30000000

10035812696910

skipped known factor: 147290814751
skipped known factor: 145853554474529894969681

5,418

-

-

63.199%

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.992 GHz-days
Estimated T-Level:	26.891

Digits	B1	Curves	Complete	FacMiss
20	11000	523 / 100	5.230	0.521%
25	50000	523 / 280	1.868	15.394%
30	250000	242 / 640	0.378	68.494%

New Calculation Method

Total ECM effort:	10.992 GHz-days
Estimated T-Level:	26.891

Digits	B1	Complete	FacMiss
20	11000	29.231	0.000%
25	50000	3.754	2.343%
30	250000	0.367	69.257%
35	1000000	0.029	97.173%
40	3000000	0.002	99.815%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		201	1.465
50000	5000000	145853554474529894969681	80	0.583
250000	25000000		144	5.249
250000	25000000	65772865962363774195164737391	77	2.807
250000	34250000		7	0.287
250000	38500000		14	0.602

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-09-19T12:42:00	TJAOI	Manual testing	50000	5000000						50	0.364
2015-01-30T11:26:00	TJAOI	Manual testing	50000	5000000						50	0.364
2015-09-18T09:51:00	TJAOI	Manual testing	50000	5000000						10	0.073
2015-09-18T09:51:00	TJAOI	Manual testing	50000	5000000	145853554474529894969681	76.949	80	2		80	0.583
2016-02-26T13:29:01	TJAOI	Manual testing	50000	5000000						91	0.663
2017-08-04T10:33:45	TJAOI	Manual testing	250000	25000000						44	1.604
2020-01-12T23:15:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-15T03:59:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-17T08:45:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-19T16:34:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-22T01:35:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-24T08:42:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-26T20:10:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-29T09:46:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-01T04:19:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-04T04:48:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-07T09:45:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-10T20:44:21	kracker	O0	250000	25000000						3	0.109
2020-02-14T09:09:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-18T05:22:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-21T13:11:50	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-02-25T05:31:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-28T08:28:11	kracker	O0	250000	25000000						3	0.109
2020-03-03T14:53:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-08T13:24:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-14T10:41:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-20T18:11:03	astraeus	x7	250000	25000000						3	0.109
2020-04-08T12:14:40	Oliver Kruse	Threadripper-PC	250000	25000000						3	0.109
2020-04-18T18:34:52	Oliver Kruse	Melissa	250000	25000000						3	0.109
2020-05-01T06:40:49	Greg	azure2	250000	25000000						3	0.109
2020-05-05T23:50:30	Greg Hogan	azure3	250000	25000000						3	0.109
2020-05-25T14:30:00	nordi	sweet16	250000	25000000	65772865962363774195164737391	95.731	77	2	2684238229633322	77	2.807
2020-07-27T10:56:06	TJAOI	Manual testing	250000	25000000						25	0.911
2022-01-05T15:47:46	Dylan Delgado	colab	250000	38500000						7	0.301
2022-03-14T01:05:40	MarkS	desktop-i7	250000	34250000						7	0.287
2022-05-13T23:01:21	Dylan Delgado	colab	250000	38500000						7	0.301

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22T08:15:24

Oliver Kruse

Ollaptop

147290814751

145853554474529894969681

303273AC25808E__

2017-09-22T10:06:48

Oliver Kruse

Manual testing

147290814751

145853554474529894969681

303273AC25808E__

2017-10-12T18:54:56

kkmrkkblmbrbk

c4.xlarge

303273AC25808E__

2020-04-17T20:16:56

Oliver Kruse

AddPrpType5

147290814751

145853554474529894969681

C530F14A851134__

2020-05-26T13:32:05

mnd9

mnd

147290814751

145853554474529894969681

65772865962363774195164737391

C530F14A851134EA

2020-05-27T18:11:09

ANONYMOUS

obFIV_MkQmyMzMWzFMY2

147290814751

145853554474529894969681

65772865962363774195164737391

C530F14A851134EA

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