M258157 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	73.0418%	5,417.9473	73.0418%	73.0418%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	70000	0.0001	14.2706%	0.0001	61.4218%	6.4218%
GPU72	2⁴⁴	0.0000	59.0909%	4500	120000	0.0001	10.3902%	0.0001	63.3414%	4.2505%
Difference	-44	0.0000	-59.0909%	+29995500	+10035812576910	+5,417.9472	+62.6517%	+5,417.9472	+9.7004%	+9.7004%

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

73.0418%

5,417.9473

73.0418%

PrimeNet

2⁴⁰

0.0000

55.0000%

2600

70000

0.0001

14.2706%

0.0001

61.4218%

6.4218%

GPU72

2⁴⁴

0.0000

59.0909%

4500

120000

0.0001

10.3902%

0.0001

63.3414%

4.2505%

Difference

-44

0.0000

-59.0909%

+29995500

+10035812576910

+5,417.9472

+62.6517%

+5,417.9472

+9.7004%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
258157	61957681	8	25.885	120 2³ × 3 × 5	-	8	8	1.777e-11	7.927e-8	1.613e-7
258157	30800260893987481546217	23	74.705	59654126934360644 2² × 7 × 1056707 × 2016173389	2017-05-12	1056707	2016173389	15,538	1.0983	2.0328
258157	7048228197804210755328787001	28	92.509	13651049938224047295500 2² × 5³ × 27302099876448094591	2020-11-01	125	27302099876448094591	5.517e+9	1.474e+10	2.753e+10

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

258157

61957681

25.885

120
2³ × 3 × 5

1.777e-11

7.927e-8

1.613e-7

258157

30800260893987481546217

74.705

59654126934360644
2² × 7 × 1056707 × 2016173389

2017-05-12

1056707

2016173389

15,538

1.0983

2.0328

258157

7048228197804210755328787001

92.509

13651049938224047295500
2² × 5³ × 27302099876448094591

2020-11-01

125

27302099876448094591

5.517e+9

1.474e+10

2.753e+10

exponent	prime factors	composite factor	digits	bits*
258157	61957681 30800260893987481546217	1908312739186451199633899642777	31	100.590
258157	61957681 7048228197804210755328787001	436691874294758190435430035124904681	36	118.394
258157	30800260893987481546217 7048228197804210755328787001	21708726733272889627694119098493246395295853032521 7	51	167.215
258157	61957681 30800260893987481546217 7048228197804210755328787001	13450223658562937815008809966804521408141403628118 621141777	59	193.099

exponent

prime factors

composite factor

digits

bits*

258157

61957681
30800260893987481546217

1908312739186451199633899642777

100.590

258157

61957681
7048228197804210755328787001

436691874294758190435430035124904681

118.394

258157

30800260893987481546217
7048228197804210755328787001

21708726733272889627694119098493246395295853032521
7

167.215

258157

61957681
30800260893987481546217
7048228197804210755328787001

13450223658562937815008809966804521408141403628118
621141777

193.099

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-22T02:07:19	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 61957681 skipped known factor: 30800260893987481546217	-	-	1.901	-	-	44.084%
2022-04-29T21:17:52	Oliver Kruse	Threadripper-PC	30000000	10035812696910		-	skipped known factor: 61957681 skipped known factor: 30800260893987481546217	-	-	5,418	-	-	63.188%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-08-22T02:07:19

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 61957681
skipped known factor: 30800260893987481546217

1.901

-

-

44.084%

2022-04-29T21:17:52

Oliver Kruse

Threadripper-PC

30000000

10035812696910

skipped known factor: 61957681
skipped known factor: 30800260893987481546217

5,418

-

-

63.188%

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.953 GHz-days
Estimated T-Level:	26.875

Digits	B1	Curves	Complete	FacMiss
20	11000	520 / 100	5.200	0.537%
25	50000	520 / 280	1.857	15.560%
30	250000	240 / 640	0.375	68.709%

New Calculation Method

Total ECM effort:	10.953 GHz-days
Estimated T-Level:	26.875

Digits	B1	Complete	FacMiss
20	11000	29.032	0.000%
25	50000	3.730	2.400%
30	250000	0.365	69.421%
35	1000000	0.028	97.192%
40	3000000	0.002	99.816%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	2.041
250000	25000000		200	7.288
250000	25000000	30800260893987481546217	10	0.364
250000	25000000	7048228197804210755328787001	2	0.073
250000	35250000		7	0.290
250000	36750000		7	0.295
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
2015-01-23T13:28:00	TJAOI	Manual testing	50000	5000000						50	0.364
2015-09-04T10:44:00	TJAOI	Manual testing	50000	5000000						90	0.656
2015-09-18T09:51:00	TJAOI	Manual testing	50000	5000000						90	0.656
2017-05-12T15:30:03	TJAOI	Manual testing	250000	25000000						34	1.239
2017-05-12T15:30:03	TJAOI	Manual testing	250000	25000000	30800260893987481546217	74.705	10	2		10	0.364
2020-01-10T07:37:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-12T13:02:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-14T17:34:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-16T22:14:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-19T05:39:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-21T14:58:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-23T21:51:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-26T07:52:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-28T21:21:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-31T15:12:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-03T15:12:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-06T17:56:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-10T02:31:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-13T15:43:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-17T13:04:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-20T19:35:50	-Anonymous-	aws-nano	250000	25000000						3	0.109
2020-02-24T10:52:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-27T15:33:22	kracker	O0	250000	25000000						3	0.109
2020-03-02T14:24:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-07T07:08:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-13T06:38:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-18T19:38:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-30T01:15:10	Hans Loeblich	crow	250000	25000000						3	0.109
2020-04-15T18:04:39	kracker	O0	250000	25000000						3	0.109
2020-04-30T10:50:26	Greg	azure2	250000	25000000						3	0.109
2020-05-04T15:58:52	Greg Hogan	azure2	250000	25000000						3	0.109
2020-05-15T21:30:59	-Anonymous-	aws-nano	250000	25000000						3	0.109
2020-06-02T22:24:37	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.109
2020-06-15T09:53:03	TJAOI	Manual testing	250000	25000000						19	0.692
2020-10-12T21:11:43	nordi	sweet16	250000	25000000						7	0.255
2020-11-01T13:50:27	Chang Chia-Tche	exbpc13	250000	25000000	7048228197804210755328787001	92.509	2	2	4923899753883122	2	0.073
2020-11-04T06:56:27	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.255
2020-12-14T17:00:55	ZacHFX	Ryzen	250000	25000000						7	0.255
2021-01-23T13:40:06	nordi	sweet16	250000	38500000						7	0.301
2021-03-07T07:20:02	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-04-26T01:30:07	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-12-10T12:03:50	mnd9	f4	250000	25000000						7	0.255
2021-12-11T23:27:07	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-12-12T12:13:55	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.255
2021-12-13T02:14:49	Dylan Delgado	colab	250000	38500000						7	0.301
2021-12-14T19:17:25	debrouxl	z210	250000	36750000						7	0.295
2022-02-11T20:29:09	happy5214	Focus	250000	35250000						7	0.290
2022-04-07T20:56:14	Massimo Cappelli (ik5pwa)	maxlinux_8	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