M251429 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	10120247026890	4,486.3114	73.0033%	4,486.3114	73.0033%	73.0033%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	70000	0.0001	14.2172%	0.0001	61.3977%	6.3977%
GPU72	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.1692%	0.0001	63.2510%	4.1601%
Difference	-44	0.0000	-59.0909%	+29995500	+10120246916890	+4,486.3113	+62.8342%	+4,486.3113	+9.7523%	+9.7523%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

30000000

10120247026890

4,486.3114

73.0033%

4,486.3114

73.0033%

PrimeNet

2⁴⁰

0.0000

55.0000%

2600

70000

0.0001

14.2172%

0.0001

61.3977%

6.3977%

GPU72

2⁴⁴

0.0000

59.0909%

4500

110000

0.0001

10.1692%

0.0001

63.2510%

4.1601%

Difference

-44

0.0000

-59.0909%

+29995500

+10120246916890

+4,486.3113

+62.8342%

+4,486.3113

+9.7523%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
251429	8045729	7	22.940	16 2⁴	-	16	16	2.230e-12	1.302e-7	2.649e-7
251429	119168101742417489617	21	66.692	236981616564552 2³ × 3 × 9874234023523	2014-08-15	8	9874234023523	65.840	4,377.0	8,175.1
251429	503942919457450618790753992927	30	98.669	1002157506607134854751747 3 × 7 × 41 × 43 × 3994223197 × 6776915137	2021-03-01	3994223197	6776915137	4.027e+11	33.731	66.138

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

251429

8045729

22.940

16
2⁴

2.230e-12

1.302e-7

2.649e-7

251429

119168101742417489617

66.692

236981616564552
2³ × 3 × 9874234023523

2014-08-15

9874234023523

65.840

4,377.0

8,175.1

251429

503942919457450618790753992927

98.669

1002157506607134854751747
3 × 7 × 41 × 43 × 3994223197 × 6776915137

2021-03-01

3994223197

6776915137

4.027e+11

33.731

66.138

exponent	prime factors	composite factor	digits	bits*
251429	8045729 119168101742417489617	958794252063918926318695793	27	89.631
251429	8045729 503942919457450618790753992927	4054588161423474709672714332758558783	37	121.609
251429	119168101742417489617 503942919457450618790753992927	60053921098276377716431581744652849266482313938959	50	165.361
251429	8045729 119168101742417489617 503942919457450618790753992927	48317757454411410220804735375882402427596548124578 6656111	57	188.301

exponent

prime factors

composite factor

digits

bits*

251429

8045729
119168101742417489617

958794252063918926318695793

89.631

251429

8045729
503942919457450618790753992927

4054588161423474709672714332758558783

121.609

251429

119168101742417489617
503942919457450618790753992927

60053921098276377716431581744652849266482313938959

165.361

251429

8045729
119168101742417489617
503942919457450618790753992927

48317757454411410220804735375882402427596548124578
6656111

188.301

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-05-30T02:39:04	ViliamF	3	50000000	7150000000		-	skipped known factor: 8045729	-	-	3.554	-	-	46.550%
2021-08-20T05:52:09	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 8045729	-	-	1.561	-	-	44.030%
2022-04-20T21:25:36	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 8045729 skipped known factor: 119168101742417489617	-	-	4,486	-	-	63.144%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-05-30T02:39:04

ViliamF

50000000

7150000000

skipped known factor: 8045729

3.554

-

-

46.550%

2021-08-20T05:52:09

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 8045729

1.561

-

-

44.030%

2022-04-20T21:25:36

Oliver Kruse

Threadripper-PC

30000000

10120247026890

skipped known factor: 8045729
skipped known factor: 119168101742417489617

4,486

-

-

63.144%

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.247 GHz-days
Estimated T-Level:	27.203

Digits	B1	Curves	Complete	FacMiss
20	11000	563 / 100	5.630	0.349%
25	50000	563 / 280	2.011	13.341%
30	250000	282 / 640	0.441	64.341%

New Calculation Method

Total ECM effort:	10.247 GHz-days
Estimated T-Level:	27.203

Digits	B1	Complete	FacMiss
20	11000	36.699	0.000%
25	50000	5.006	0.669%
30	250000	0.506	60.286%
35	1000000	0.040	96.033%
40	3000000	0.003	99.734%

ECM Summary

B1	B2	factor	curves	GHz-days
		119168101742417489617	1	0.00000e+0
50000	5000000		281	1.680
250000	25000000		240	7.175
250000	25000000	503942919457450618790753992927	7	0.209
250000	28250000		7	0.218
250000	33000000		7	0.232
250000	36250000		7	0.241
250000	37865169		7	0.245
250000	38500000		7	0.247

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-15T10:40:00	TJAOI	Manual testing	50000	5000000						50	0.299
2014-08-15T10:41:00	TJAOI	Manual testing			119168101742417489617	66.692		1		1	-
2015-01-02T14:31:00	TJAOI	Manual testing	50000	5000000						50	0.299
2015-10-02T10:43:35	TJAOI	Manual testing	50000	5000000						90	0.538
2016-02-26T13:29:03	TJAOI	Manual testing	50000	5000000						91	0.544
2017-07-21T13:29:52	TJAOI	Manual testing	250000	25000000						44	1.316
2019-12-28T21:58:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-30T20:00:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-01T20:03:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-03T23:02:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-06T00:54:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-08T06:25:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-10T10:51:45	kracker	O0	250000	25000000						3	0.090
2020-01-12T15:07:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-14T19:47:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-17T00:17:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-19T07:54:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-21T16:54:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-24T00:01:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-26T10:11:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-29T00:00:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-31T19:12:13	kracker	O0	250000	25000000						3	0.090
2020-02-03T21:55:04	-Anonymous-	aws-nano	250000	25000000						3	0.090
2020-02-06T21:03:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-10T05:32:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-13T19:33:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-17T16:55:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-20T18:56:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-24T10:20:14	TJAOI	Manual testing	250000	25000000						70	2.093
2020-12-03T06:53:48	codest	wks	250000	25000000						7	0.209
2021-01-21T13:15:34	nordi	sweet16	250000	37865169						7	0.245
2021-03-01T21:53:19	Poao	justg-ZA	250000	25000000	503942919457450618790753992927	98.669	7	2	685495593180436	7	0.209
2021-04-22T20:14:43	nordi	sweet16	250000	38500000						7	0.247
2021-12-10T12:04:01	mnd9	f4	250000	25000000						7	0.209
2021-12-12T04:17:14	MarkS	desktop-i7	250000	25000000						11	0.329
2021-12-12T17:57:50	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.209
2021-12-13T14:23:15	Lisander Viaene	Gaming_Desktop	250000	36250000						7	0.241
2022-01-07T02:56:40	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2022-03-08T13:02:44	storm5510	3570_Ivy_Bridge	250000	28250000						7	0.218
2022-05-11T11:37:44	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2022-06-01T14:45:07	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-06-26T07:15:19	MarkS	desktop-i7	250000	33000000						7	0.232
2022-07-20T15:44:58	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209

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