M245261 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	2⁶⁷	121.1522	73.1343%	30000000	10120247026890	4,486.3114	23.3926%	4,607.4636	79.4189%	6.2846%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	65000	0.0000	13.9765%	0.0000	61.2894%	6.2894%
GPU72	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.1303%	0.0001	63.2351%	4.1442%
Difference	+23	+121.1522	+14.0434%	+29995500	+10120246916890	+4,486.3113	+13.2624%	+4,607.4635	+16.1838%	+16.1838%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

121.1522

73.1343%

30000000

10120247026890

4,486.3114

23.3926%

4,607.4636

79.4189%

6.2846%

PrimeNet

2⁴⁰

0.0000

55.0000%

2600

65000

0.0000

13.9765%

0.0000

61.2894%

6.2894%

GPU72

2⁴⁴

0.0000

59.0909%

4500

110000

0.0001

10.1303%

0.0001

63.2351%

4.1442%

Difference

+23

+121.1522

+14.0434%

+29995500

+10120246916890

+4,486.3113

+13.2624%

+4,607.4635

+16.1838%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
245261	48561679	8	25.533	99 3² × 11	-	9	11	1.862e-11	7.411e-8	1.490e-7
245261	76521433	8	26.189	156 2² × 3 × 13	2008-07-21	4	13	3.768e-11	3.653e-8	6.623e-8
245261	328454111101294019627725259352463	33	108.017	669601182212610279717780771 3 × 31² × 3023 × 76830458015041151119	2022-02-20	3023	76830458015041151119	7.677e+11	3.406e+10	6.361e+10

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

245261

48561679

25.533

99
3² × 11

1.862e-11

7.411e-8

1.490e-7

245261

76521433

26.189

156
2² × 3 × 13

2008-07-21

3.768e-11

3.653e-8

6.623e-8

245261

328454111101294019627725259352463

108.017

669601182212610279717780771
3 × 31² × 3023 × 76830458015041151119

2022-02-20

3023

76830458015041151119

7.677e+11

3.406e+10

6.361e+10

exponent	prime factors	composite factor	digits	bits*
245261	48561679 76521433	3716009265966007	16	51.723
245261	48561679 328454111101294019627725259352463	15950283109531376665781293544866056065377	41	133.551
245261	76521433 328454111101294019627725259352463	25133779256212226536243663375947120839479	41	134.207
245261	48561679 76521433 328454111101294019627725259352463	1220538520297036900928346646646800403180989725241	49	159.740

exponent

prime factors

composite factor

digits

bits*

245261

48561679
76521433

3716009265966007

51.723

245261

48561679
328454111101294019627725259352463

15950283109531376665781293544866056065377

133.551

245261

76521433
328454111101294019627725259352463

25133779256212226536243663375947120839479

134.207

245261

48561679
76521433
328454111101294019627725259352463

1220538520297036900928346646646800403180989725241

159.740

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-07-28T15:24:13	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 48561679 skipped known factor: 76521433	-	-	1.561	-	-	12.550%
2022-04-12T20:53:28	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 48561679 skipped known factor: 76521433	-	-	4,486	-	-	23.393%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-07-28T15:24:13

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 48561679
skipped known factor: 76521433

1.561

-

-

12.550%

2022-04-12T20:53:28

Oliver Kruse

Threadripper-PC

30000000

10120247026890

skipped known factor: 48561679
skipped known factor: 76521433

4,486

-

-

23.393%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21T09:14:00	J Feitsma	Manual testing	?	?	76521433	26.189	8	1.23083e-12	0.003	2.56003e-12

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2008-07-21T09:14:00

J Feitsma

Manual testing

76521433

26.189

1.23083e-12

0.003

2.56003e-12

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.087 GHz-days
Estimated T-Level:	27.289

Digits	B1	Curves	Complete	FacMiss
20	11000	597 / 100	5.970	0.248%
25	50000	567 / 280	2.025	13.152%
30	250000	293 / 640	0.458	63.244%

New Calculation Method

Total ECM effort:	12.087 GHz-days
Estimated T-Level:	27.289

Digits	B1	Complete	FacMiss
20	11000	38.066	0.000%
25	50000	5.215	0.543%
30	250000	0.531	58.819%
35	1000000	0.043	95.821%
40	3000000	0.003	99.719%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	1100000		30	0.039
50000	5000000		274	1.637
250000	25000000		240	7.170
250000	25000000	328454111101294019627725259352463	4	0.119
250000	33000000		7	0.231
250000	33720924		7	0.233
250000	38392042		14	0.493
250000	38500000		14	0.493
250000	551335785		7	1.671

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-11T18:37:00	Matthias Wurtinger	WUR_E6600	11000	1100000						30	0.039
2014-08-15T10:41:00	TJAOI	Manual testing	50000	5000000						43	0.257
2014-12-26T10:48:00	TJAOI	Manual testing	50000	5000000						50	0.299
2015-08-14T10:08:00	TJAOI	Manual testing	50000	5000000						90	0.538
2016-04-01T10:49:48	TJAOI	Manual testing	50000	5000000						91	0.544
2017-08-11T11:12:06	TJAOI	Manual testing	250000	25000000						44	1.314
2019-12-20T00:32:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-21T07:10:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-22T15:45:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-24T00:24:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-26T08:37:06	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.090
2019-12-27T14:41:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-29T12:09:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-31T10:31:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-02T12:06:18	kracker	O0	250000	25000000						3	0.090
2020-01-04T13:57:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-06T16:44:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-08T22:25:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-11T01:44:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-13T07:49:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-15T12:46:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-17T16:48:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-20T01:50:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-22T10:07:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-24T16:31:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-27T04:37:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-29T19:30:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-01T17:01:41	kracker	O0	250000	25000000						3	0.090
2020-02-04T16:30:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-07T21:37:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-11T07:57:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-14T22:41:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-04-06T09:17:03	TJAOI	Manual testing	250000	25000000						22	0.657
2020-04-27T00:10:05	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.090
2020-04-27T06:24:40	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-29T03:40:24	Greg	azure4	250000	25000000						3	0.090
2020-05-03T06:14:05	Greg Hogan	azure3	250000	25000000						3	0.090
2020-05-09T06:29:14	Greg Hogan	azure	250000	25000000						3	0.090
2020-05-28T01:26:48	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.090
2020-06-14T16:36:08	nordi	sweet16	250000	25000000						3	0.090
2020-06-25T08:29:44	nordi	sweet16	250000	25000000						3	0.090
2020-07-04T00:16:35	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.090
2020-07-19T14:56:01	kracker	O0	250000	25000000						3	0.090
2020-07-29T02:22:40	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.090
2020-09-14T12:24:32	LaurV	3tits	250000	25000000						7	0.209
2020-10-20T09:04:50	nordi	sweet16	250000	25000000						7	0.209
2020-11-04T11:35:45	nordi	sweet16	250000	25000000						7	0.209
2020-12-15T20:44:33	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-01-24T00:35:28	seatsea	dt	250000	38392042						7	0.246
2021-03-07T07:02:30	Deufo	Ryzen2600	250000	38500000						7	0.247
2021-05-01T16:28:12	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-06-22T04:22:37	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-07-14T09:02:45	seatsea	Manual testing	250000	38392042						7	0.246
2021-09-10T19:45:45	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-10-13T04:39:58	Eric	miniPCWindows	250000	38500000						7	0.247
2021-12-09T18:28:50	mnd9	f4	250000	25000000						7	0.209
2022-02-20T03:47:58	Corey	tab	250000	25000000	328454111101294019627725259352463	108.017	4	2	4337141788341671	4	0.119
2022-03-20T12:56:47	nullcure	NETOPS-CMD	250000	33000000						7	0.231
2022-05-17T18:34:22	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-06-08T08:13:41	debrouxl	dl380g9-1	250000	33720924						7	0.233
2022-07-03T18:27:21	Luminescence	TyrantECM309b1	250000	551335785						7	1.671

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