M260539 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	73.0611%	5,417.9473	73.0611%	73.0611%
PrimeNet	2⁴⁰	0.0000	55.0000%	2800	70000	0.0001	14.4069%	0.0001	61.4831%	6.4831%
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	+9.6521%	+9.6521%

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

73.0611%

5,417.9473

73.0611%

PrimeNet

2⁴⁰

0.0000

55.0000%

2800

70000

0.0001

14.4069%

0.0001

61.4831%

6.4831%

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

+9.6521%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
260539	15111263	8	23.849	29 29	-	1	29	4.316e-12	2.502e-8	2.502e-8
260539	1020240814976744789915857	25	79.755	1957942601638804152 2³ × 3² × 157 × 7621 × 22727718703	2014-08-22	7621	22727718703	507,761	12.269	22.915

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

260539

15111263

23.849

29
29

4.316e-12

2.502e-8

260539

1020240814976744789915857

79.755

1957942601638804152
2³ × 3² × 157 × 7621 × 22727718703

2014-08-22

7621

22727718703

507,761

12.269

22.915

exponent	prime factors	composite factor	digits	bits*
260539	15111263 1020240814976744789915857	15417127278447929404298262997391	32	103.604

exponent

prime factors

composite factor

digits

bits*

260539

15111263
1020240814976744789915857

15417127278447929404298262997391

103.604

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-09-18T04:32:08	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 15111263	-	-	1.901	-	-	44.102%
2022-05-02T23:40:28	Oliver Kruse	Threadripper-PC	30000000	10035812696910		-	skipped known factor: 15111263 skipped known factor: 1020240814976744789915857	-	-	5,418	-	-	63.208%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-09-18T04:32:08

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 15111263

1.901

-

-

44.102%

2022-05-02T23:40:28

Oliver Kruse

Threadripper-PC

30000000

10035812696910

skipped known factor: 15111263
skipped known factor: 1020240814976744789915857

5,418

-

-

63.208%

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.890 GHz-days
Estimated T-Level:	26.820

Digits	B1	Curves	Complete	FacMiss
20	11000	521 / 100	5.210	0.532%
25	50000	514 / 280	1.836	15.898%
30	250000	233 / 640	0.364	69.465%

New Calculation Method

Total ECM effort:	10.890 GHz-days
Estimated T-Level:	26.820

Digits	B1	Complete	FacMiss
20	11000	28.516	0.000%
25	50000	3.655	2.586%
30	250000	0.357	70.003%
35	1000000	0.028	97.259%
40	3000000	0.002	99.821%

ECM Summary

B1	B2	factor	curves	GHz-days
		1020240814976744789915857	1	0.00000e+0
50000	5000000		281	2.049
250000	250000		7	0.171
250000	25000000		205	7.473
250000	36500000		7	0.294
250000	38500000		21	0.903

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
2014-08-22T10:16:00	TJAOI	Manual testing			1020240814976744789915857	79.755		1		1	-
2015-01-23T13:29:00	TJAOI	Manual testing	50000	5000000						50	0.365
2015-09-18T09:51:00	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
2020-01-15T02:34:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-17T07:10:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-19T15:03:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-22T00:21:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-24T07:27:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-26T18:13:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-29T08:04:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-01T02:29:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-04T03:12:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-07T09:15:37	kracker	O0	250000	25000000						3	0.109
2020-02-10T16:09:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-14T06:55:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-18T03:19:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-21T06:49:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-25T04:34:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-28T05:38:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-03T11:49:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-08T10:31:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-14T10:24:17	Will Hockensmith	bl460g8-1	250000	25000000						3	0.109
2020-03-19T17:06:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-04-17T16:53:48	kracker	O0	250000	25000000						3	0.109
2020-04-18T10:02:43	kracker	O0	250000	25000000						3	0.109
2020-05-01T03:22:03	Greg	azure	250000	25000000						3	0.109
2020-05-05T19:11:33	Greg Hogan	azure3	250000	25000000						3	0.109
2020-05-30T03:27:13	happy5214	Cosmic	250000	25000000						3	0.109
2020-06-06T00:10:11	Chang Chia-Tche	exbpc13	250000	25000000						3	0.109
2020-06-21T00:14:02	nordi	sweet16	250000	25000000						3	0.109
2020-06-29T04:08:00	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-07-06T08:19:14	TJAOI	Manual testing	250000	25000000						28	1.021
2020-12-06T08:39:25	George Woltman	x64-debug	250000	38500000						7	0.301
2021-01-25T11:39:19	Mr. P-1	trombone	250000	250000						7	0.171
2021-02-12T13:32:01	mnd9	consult	250000	25000000						7	0.255
2021-03-09T11:33:38	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-04-26T22:20:24	nordi	sweet16	250000	38500000						7	0.301
2021-06-23T21:04:12	Jonathan Webb	Desktop2021	250000	25000000						7	0.255
2021-08-02T10:04:03	MarkS	desktop-i7	250000	25000000						7	0.255
2021-09-05T19:44:32	Dylan Delgado	laptop-ryzen73700	250000	38500000						7	0.301
2021-10-14T03:57:57	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-12-03T20:24:30	Luminescence	W-2295	250000	36500000						7	0.294
2022-02-22T02:56:43	Corey	tab	250000	25000000						7	0.255
2022-04-14T00:34:54	Corey	tab	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