M260549 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	73.0612%	5,417.9473	73.0612%	73.0612%
PrimeNet	2⁴⁰	0.0000	55.0000%	2800	70000	0.0001	14.4070%	0.0001	61.4832%	6.4832%
GPU72	2⁴⁴	0.0000	59.0909%	5000	120000	0.0001	10.5553%	0.0001	63.4090%	4.3181%
Difference	-44	0.0000	-59.0909%	+29995000	+10035812576910	+5,417.9472	+62.5058%	+5,417.9472	+9.6522%	+9.6522%

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

73.0612%

5,417.9473

73.0612%

PrimeNet

2⁴⁰

0.0000

55.0000%

2800

70000

0.0001

14.4070%

0.0001

61.4832%

6.4832%

GPU72

2⁴⁴

0.0000

59.0909%

5000

120000

0.0001

10.5553%

0.0001

63.4090%

4.3181%

Difference

-44

0.0000

-59.0909%

+29995000

+10035812576910

+5,417.9472

+62.5058%

+5,417.9472

+9.6522%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
260549	545589607	9	29.023	1047 3 × 349	-	3	349	3.367e-10	2.165e-7	3.477e-7

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

260549

545589607

29.023

1047
3 × 349

349

3.367e-10

2.165e-7

3.477e-7

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-09-13T06:47:15	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 545589607	-	-	1.901	-	-	44.102%
2022-05-03T00:16:14	Oliver Kruse	Threadripper-PC	30000000	10035812696910		-	skipped known factor: 545589607	-	-	5,418	-	-	63.208%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-09-13T06:47:15

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 545589607

1.901

-

-

44.102%

2022-05-03T00:16:14

Oliver Kruse

Threadripper-PC

30000000

10035812696910

skipped known factor: 545589607

5,418

-

-

63.208%

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.776 GHz-days
Estimated T-Level:	26.844

Digits	B1	Curves	Complete	FacMiss
20	11000	517 / 100	5.170	0.554%
25	50000	517 / 280	1.846	15.728%
30	250000	236 / 640	0.369	69.140%

New Calculation Method

Total ECM effort:	10.776 GHz-days
Estimated T-Level:	26.844

Digits	B1	Complete	FacMiss
20	11000	28.731	0.000%
25	50000	3.677	2.531%
30	250000	0.359	69.834%
35	1000000	0.028	97.241%
40	3000000	0.002	99.820%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	2.049
250000	25000000	208	7.582
250000	28500000	7	0.267
250000	34719594	14	0.576
250000	38500000	7	0.301

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-22T10:14:00	TJAOI	Manual testing	50000	5000000						50	0.365
2015-01-23T13:29:00	TJAOI	Manual testing	50000	5000000						50	0.365
2015-09-25T10:21:38	TJAOI	Manual testing	50000	5000000						90	0.656
2016-03-18T10:45:39	TJAOI	Manual testing	50000	5000000						91	0.663
2017-05-19T20:17:55	TJAOI	Manual testing	250000	25000000						44	1.604
2020-01-15T03:09:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-17T07:39:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-19T15:34:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-22T00:07:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-24T07:43:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-26T18:56:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-29T08:55:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-01T03:11:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-04T03:37:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-07T08:20:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-10T16:53:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-14T11:12:24	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-02-18T03:46:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-21T09:57:04	kracker	O0	250000	25000000						3	0.109
2020-02-25T04:59:09	kracker	O0	250000	25000000						3	0.109
2020-02-28T06:08:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-03T12:21:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-08T10:31:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-14T07:36:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-19T23:07:28	Hans Loeblich	tomservo	250000	25000000						3	0.109
2020-04-07T05:18:23	MarkS	desktop-i7	250000	25000000						3	0.109
2020-04-18T14:06:34	Oliver Kruse	Melissa	250000	25000000						3	0.109
2020-05-01T04:50:04	Greg	azure3	250000	25000000						3	0.109
2020-05-05T20:44:16	Greg Hogan	azure2	250000	25000000						3	0.109
2020-05-19T15:53:50	kracker	O0	250000	25000000						3	0.109
2020-06-06T01:41:31	kracker	O0	250000	25000000						3	0.109
2020-06-20T16:16:26	nordi	sweet16	250000	25000000						3	0.109
2020-06-29T08:19:17	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.109
2020-07-06T08:19:14	TJAOI	Manual testing	250000	25000000						28	1.021
2020-12-07T14:29:56	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.255
2021-01-22T02:30:46	seatsea	dt	250000	34719594						7	0.288
2021-03-02T14:16:02	MarkS	desktop-i7	250000	25000000						17	0.620
2021-07-07T11:24:12	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.255
2021-07-14T09:02:17	seatsea	Manual testing	250000	34719594						7	0.288
2021-09-18T14:42:39	happy5214	Focus	250000	38500000						7	0.301
2021-10-28T07:24:40	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-12-28T01:36:22	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2022-03-01T17:58:00	storm5510	3570_Ivy_Bridge	250000	28500000						7	0.267
2022-05-01T10:51:49	_p95holder_	TFL17_PRPt12pE_k	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