M272659 Mersenne number exponent details

Residue

Status

L-L

C937F4ABC7032C__

double-checked

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	108.9783	71.6418%	262144	26214400	0.0166	4.0125%	108.9949	72.7797%	1.1379%
PrimeNet	2⁴⁰	0.0000	52.5000%	2800	80000	0.0001	14.8477%	0.0001	59.5527%	7.0527%
GPU72	2⁴⁴	0.0000	56.8182%	5000	130000	0.0001	10.7964%	0.0001	61.4803%	4.6621%
Difference	+23	+108.9783	+14.8236%	+257144	+26084400	+0.0165	-6.7839%	+108.9948	+11.2994%	+11.2994%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

108.9783

71.6418%

262144

26214400

0.0166

4.0125%

108.9949

72.7797%

1.1379%

PrimeNet

2⁴⁰

0.0000

52.5000%

2800

80000

0.0001

14.8477%

0.0001

59.5527%

7.0527%

GPU72

2⁴⁴

0.0000

56.8182%

5000

130000

0.0001

10.7964%

0.0001

61.4803%

4.6621%

Difference

+23

+108.9783

+14.8236%

+257144

+26084400

+0.0165

-6.7839%

+108.9948

+11.2994%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
272659	2758216133539984529	19	61.258	5057995763096 2³ × 79 × 8003157853	2008-01-30	79	8003157853	1.9450	4.3204	8.0693
272659	808787571110917828605031	24	79.420	1483148495209983585 3 × 5 × 98876566347332239	2015-10-16	5	98876566347332239	791,642	53,376,866	99,693,122

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

272659

2758216133539984529

61.258

5057995763096
2³ × 79 × 8003157853

2008-01-30

8003157853

1.9450

4.3204

8.0693

272659

808787571110917828605031

79.420

1483148495209983585
3 × 5 × 98876566347332239

2015-10-16

98876566347332239

791,642

53,376,866

99,693,122

exponent	prime factors	composite factor	digits	bits*
272659	2758216133539984529 808787571110917828605031	2230810927244751062943108359602113391565399	43	140.679

exponent

prime factors

composite factor

digits

bits*

272659

2758216133539984529
808787571110917828605031

2230810927244751062943108359602113391565399

140.679

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-04-01T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.003	-	-	2.275%
2001-06-30T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.006	-	-	2.748%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.577%
2002-08-10T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.004	-	-	2.265%
2003-03-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.008	-	-	3.080%
2003-11-28T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.017	-	-	4.012%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	272659	272659		-		-	-	0.003	-	-	1.110%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2001-04-01T00:00:00

ANONYMOUS

v4_computers

100000

4000000

0.003

-

-

2.275%

2001-06-30T00:00:00

ANONYMOUS

v4_computers

100000

10000000

0.006

-

-

2.748%

2002-06-02T00:00:00

ANONYMOUS

v4_computers

32768

3276800

0.002

-

-

1.577%

2002-08-10T00:00:00

ANONYMOUS

v4_computers

65536

6553600

0.004

-

-

2.265%

2003-03-16T00:00:00

ANONYMOUS

v4_computers

131072

13107200

0.008

-

-

3.080%

2003-11-28T00:00:00

ANONYMOUS

v4_computers

262144

26214400

0.017

-

-

4.012%

2006-01-15T00:00:00

Jocelyn Larouche

v4_computers

272659

0.003

-

-

1.110%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-24T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.009	-	-
2022-03-07T06:11:17	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.009	-	-
2001-02-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.035	-	-
2002-03-31T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.070	-	-
2004-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.141	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

1999-11-24T00:00:00

ANONYMOUS

v4_computers

2⁵²

2⁵³

0.002

-

-

2000-04-27T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁴

0.009

-

-

2022-03-07T06:11:17

LordJulius

Manual testing

2⁵⁴

2⁵⁵

0.009

-

-

2001-02-25T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁶

0.035

-

-

2002-03-31T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁷

0.070

-

-

2004-02-07T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.141

-

-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.130 GHz-days
Estimated T-Level:	26.727

Digits	B1	Curves	Complete	FacMiss
20	11000	500 / 100	5.000	0.657%
25	50000	500 / 280	1.786	16.714%
30	250000	221 / 640	0.345	70.781%

New Calculation Method

Total ECM effort:	12.130 GHz-days
Estimated T-Level:	26.727

Digits	B1	Complete	FacMiss
20	11000	31.424	0.000%
25	50000	4.207	1.490%
30	250000	0.419	65.755%
35	1000000	0.033	96.731%
40	3000000	0.002	99.783%

ECM Summary

B1	B2	factor	curves	GHz-days
		2758216133539984529	1	0.00000e+0
50000	5000000		208	1.519
50000	5000000	808787571110917828605031	71	0.518
250000	25000000		174	6.353
250000	35000000		19	0.786
250000	38500000		21	0.905
250000	551335785		7	2.049

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-10T20:59:00	George Woltman	D_P4Debug	50000	5000000						1	0.007
2007-08-18T13:36:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-08-31T05:54:00	Team_Bundu	bundu1	50000	5000000						1	0.007
2007-09-16T17:45:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-11-04T23:51:00	ANONYMOUS	minister	50000	5000000						1	0.007
2008-01-12T04:20:00	Steve Scott	Gigabyte-2	50000	5000000						3	0.022
2008-01-30T17:02:00	Team_Bundu	bundu4			2758216133539984529	61.258		1		1	-
2014-08-22T10:15:00	TJAOI	Manual testing	50000	5000000						40	0.292
2015-01-09T16:38:00	TJAOI	Manual testing	50000	5000000						50	0.365
2015-10-16T10:38:38	TJAOI	Manual testing	50000	5000000						19	0.139
2015-10-16T10:38:38	TJAOI	Manual testing	50000	5000000	808787571110917828605031	79.420	71	2		71	0.518
2016-05-20T14:51:33	TJAOI	Manual testing	50000	5000000						91	0.665
2017-08-11T11:12:25	TJAOI	Manual testing	250000	25000000						44	1.607
2020-02-12T00:20:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-02-15T17:55:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-02-18T21:36:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-02-22T10:51:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-02-26T04:14:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-02-29T10:12:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-05T05:55:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-10T15:38:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-16T10:59:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-22T03:27:19	Hans Loeblich	tomservo	250000	25000000						3	0.110
2020-04-11T05:24:22	Oliver Kruse	IOS-2	250000	25000000						3	0.110
2020-04-28T09:05:12	Greg	azure	250000	25000000						3	0.110
2020-05-02T21:36:19	Oliver Kruse	Melissa	250000	25000000						3	0.110
2020-05-08T06:52:27	Greg Hogan	azure	250000	25000000						3	0.110
2020-05-26T14:21:38	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.110
2020-06-12T15:25:22	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.110
2020-06-24T04:21:55	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.110
2020-07-03T05:13:54	nordi	sweet16	250000	25000000						3	0.110
2020-07-18T13:19:15	argusdusty	Argus-PC	250000	25000000						3	0.110
2020-07-27T01:18:14	Ahmed Azhad	c5.large.az	250000	25000000						3	0.110
2020-08-31T22:40:43	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2020-10-18T17:57:16	MarkS	desktop-i7	250000	25000000						7	0.256
2020-11-03T06:41:22	nordi	sweet16	250000	25000000						7	0.256
2020-12-09T01:23:29	codest	wks	250000	25000000						7	0.256
2021-01-22T14:28:28	nordi	sweet16	250000	38500000						7	0.302
2021-02-26T17:47:39	TJAOI	Manual testing	250000	35000000						19	0.786
2021-07-24T15:42:47	MarkS	desktop-i7	250000	25000000						7	0.256
2021-08-27T06:16:51	happy5214	Focus	250000	38500000						7	0.302
2021-11-21T13:57:17	LordJulius	surface7	250000	38500000						7	0.302
2021-12-03T15:05:47	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.256
2022-02-07T04:45:44	Barney_Jr	CANinetHEWIE8G2	250000	25000000						7	0.256
2022-03-30T04:51:03	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.256
2022-05-20T11:36:47	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.256
2022-06-11T18:24:30	Corey	tab	250000	25000000						7	0.256
2022-07-03T19:43:09	Luminescence	TyrantECM309b1	250000	551335785						7	2.049

date	userid	compid	res64	spent (GHz-days)
2001-11-17T00:00:00	ANONYMOUS	v4_computers	C937F4ABC7032C__	0.002

date

userid

compid

res64

spent (GHz-days)

2001-11-17T00:00:00

ANONYMOUS

v4_computers

C937F4ABC7032C__

0.002

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