M1217 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	24,415.7087	83.5821%	1000000000000	2232843418649100000	2,876,234.7953	43.3652%	2,900,650.5040	90.7017%	18.2017%
PrimeNet	2⁴⁰	0.0001	72.5000%	500	10000	0.0000	1.6875%	0.0001	72.9641%	0.4641%
GPU72	2⁴⁴	0.0019	75.0000%	500	10000	0.0000	0.6463%	0.0019	75.1616%	0.1616%
Difference	+23	+24,415.7068	+8.5821%	+999999999500	+2232843418649090000	+2,876,234.7953	+42.7188%	+2,900,650.5021	+15.5402%	+15.5402%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

24,415.7087

83.5821%

1000000000000

2232843418649100000

2,876,234.7953

43.3652%

2,900,650.5040

90.7017%

18.2017%

PrimeNet

2⁴⁰

0.0001

72.5000%

500

10000

0.0000

1.6875%

0.0001

72.9641%

0.4641%

GPU72

2⁴⁴

0.0019

75.0000%

500

10000

0.0000

0.6463%

0.0019

75.1616%

0.1616%

Difference

+23

+24,415.7068

+8.5821%

+999999999500

+2232843418649090000

+2,876,234.7953

+42.7188%

+2,900,650.5021

+15.5402%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1217	1045741327	10	29.962	429639 3 × 7 × 41 × 499	-	41	499	1.173e-7	1.559e-9	1.973e-9
1217	61167732721678433849767778580632139170105573259183 56879	55	181.997	25130539326901575123158495719240813134800975044857 67 13690409 × 183563101196622943282107172395220720833110063	2011-10-25	13690409	183563101196622943282107172395220720833110063	1.241e+14	2.365e+32	4.416e+32
1217	22053390021902056444354293154701006674049109757797 668799	56	183.847	90605546515620609878201697430981950180974156769916 47 3 × 137 × 503 × 140895565473969308393 × 311062496324160902733961763	2014-05-21	140895565473969308393	311062496324160902733961763	1.537e+14	4.007e+14	7.484e+14

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1217

1045741327

29.962

429639
3 × 7 × 41 × 499

499

1.173e-7

1.559e-9

1.973e-9

1217

61167732721678433849767778580632139170105573259183
56879

181.997

25130539326901575123158495719240813134800975044857
67
13690409 × 183563101196622943282107172395220720833110063

2011-10-25

13690409

183563101196622943282107172395220720833110063

1.241e+14

2.365e+32

4.416e+32

1217

22053390021902056444354293154701006674049109757797
668799

183.847

90605546515620609878201697430981950180974156769916
47
3 × 137 × 503 × 140895565473969308393 × 311062496324160902733961763

2014-05-21

140895565473969308393

311062496324160902733961763

1.537e+14

4.007e+14

7.484e+14

exponent	prime factors	composite factor	digits	bits*
1217	1045741327 61167732721678433849767778580632139170105573259183 56879	63965625985949327081337875414752429714594880910154 34016305038433	64	211.959
1217	1045741327 22053390021902056444354293154701006674049109757797 668799	23062141346352415570147960181744047007555972501287 982767372756273	65	213.809
1217	61167732721678433849767778580632139170105573259183 56879 22053390021902056444354293154701006674049109757797 668799	13489558664666350909215083400593325597948771531529 16605530991595461721676581213506652651276866529157 06725318321	111	365.844
1217	1045741327 61167732721678433849767778580632139170105573259183 56879 22053390021902056444354293154701006674049109757797 668799	14106588978632537812050237843752136898142016819401 13244988314690663988003772703035717266874338648602 59570077205499951967	120	395.806

exponent

prime factors

composite factor

digits

bits*

1217

1045741327
61167732721678433849767778580632139170105573259183
56879

63965625985949327081337875414752429714594880910154
34016305038433

211.959

1217

1045741327
22053390021902056444354293154701006674049109757797
668799

23062141346352415570147960181744047007555972501287
982767372756273

213.809

1217

61167732721678433849767778580632139170105573259183
56879
22053390021902056444354293154701006674049109757797
668799

13489558664666350909215083400593325597948771531529
16605530991595461721676581213506652651276866529157
06725318321

111

365.844

1217

1045741327
61167732721678433849767778580632139170105573259183
56879
22053390021902056444354293154701006674049109757797
668799

14106588978632537812050237843752136898142016819401
13244988314690663988003772703035717266874338648602
59570077205499951967

120

395.806

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-07T20:58:12	kkmrkkblmbrbk	Manual testing	1000000000	100000000000	12	-		-	-	0.151	-	-	14.608%
2021-03-27T16:37:18	nordi	Manual testing	1000000000000	2.2328434186491E+18		-		-	-	2,876,235	-	-	43.365%
unknown			1000000000000	2232843418649100000		-		-	-	2,876,235	-	-	43.365%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-09-07T20:58:12

kkmrkkblmbrbk

Manual testing

1000000000

100000000000

0.151

-

-

14.608%

2021-03-27T16:37:18

nordi

Manual testing

1000000000000

2.2328434186491E+18

2,876,235

-

-

43.365%

unknown

1000000000000

2232843418649100000

2,876,235

-

-

43.365%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2020-12-22T17:00:38	Ruslan Borisov	Manual testing	2³⁰	2⁵¹		-	-	0.246	-	-
2020-12-22T17:00:38	Ruslan Borisov	Manual testing	2⁵¹	2⁵²		-	-	0.246	-	-
2020-12-22T17:00:39	Ruslan Borisov	Manual testing	2⁵²	2⁵³		-	-	0.493	-	-
2020-12-22T17:00:39	Ruslan Borisov	Manual testing	2⁵³	2⁵⁴		-	-	0.986	-	-
2020-12-22T17:00:39	Ruslan Borisov	Manual testing	2⁵⁴	2⁵⁵		-	-	1.972	-	-
2020-12-22T17:00:39	Ruslan Borisov	Manual testing	2⁵⁵	2⁵⁶		-	-	3.944	-	-
2020-12-22T17:00:39	Ruslan Borisov	Manual testing	2⁵⁶	2⁵⁷		-	-	7.888	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2020-12-22T17:00:38

Ruslan Borisov

Manual testing

2³⁰

2⁵¹

0.246

-

-

2020-12-22T17:00:38

Ruslan Borisov

Manual testing

2⁵¹

2⁵²

0.246

-

-

2020-12-22T17:00:39

Ruslan Borisov

Manual testing

2⁵²

2⁵³

0.493

-

-

2020-12-22T17:00:39

Ruslan Borisov

Manual testing

2⁵³

2⁵⁴

0.986

-

-

2020-12-22T17:00:39

Ruslan Borisov

Manual testing

2⁵⁴

2⁵⁵

1.972

-

-

2020-12-22T17:00:39

Ruslan Borisov

Manual testing

2⁵⁵

2⁵⁶

3.944

-

-

2020-12-22T17:00:39

Ruslan Borisov

Manual testing

2⁵⁶

2⁵⁷

7.888

-

-

ECM factoring results:

Total ECM effort:	2,069,891.666 GHz-days
Estimated T-Level:	57.082

Digits	B1	Curves	Complete	FacMiss
20	11000	504064 / 100	5,040.640	0.000%
25	50000	504064 / 280	1,800.229	0.000%
30	250000	503773 / 640	787.145	0.000%
35	1000000	503133 / 1580	318.439	0.000%
40	3000000	501543 / 4700	106.711	0.000%
45	11000000	70741 / 9700	7.293	0.068%
50	44000000	61041 / 17100	3.570	2.816%
55	110000000	46895 / 46500	1.008	36.476%
60	260000000	46632 / 112000	0.416	65.944%
65	800000000	33728 / 360000	0.094	91.057%

ECM Summary

B1	B2	factor	curves	GHz-days
		61167732721678433849767778580632139170105573259183 56879	1	0.00000e+0
		22053390021902056444354293154701006674049109757797 668799	1	0.00000e+0
50000	5000000		280	0.005
250000	25000000		640	0.054
1000000	100000000		1,580	0.538
3000000	300000000		4,700	4.797
10000000	1000000000000		426,101	472,526
11000000	1100000000		9,700	36.30
44000000	4400000000		13,690	204.9
100000000	1000000000000		455	514.0
200000000	20000000000		252	17.15
260000000	26000000000		9,512	841.4
260000000	3178559884516		3,392	12,134
800000000	80000000000		12	3.266
850000000	85000000000		15,868	4,589
1000000000	100000000000		21	7.145
1000000000	214000000000		12	5.597
2900000000	290000000000		5,052	4,984
2900000000	81051862041166		132	11,928
2900000000	105101237217912		8,547	999,801
2900000000	1323843357957408		377	552,572
7600000000	760000000000		3,696	9,557
various			45	165.8098

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13T09:17:00	Carsten Kossendey	durandal	44000000	4400000000						1	0.015
2010-12-30T05:12:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2010-12-30T18:51:00	ANONYMOUS	13_052010	44000000	4400000000						3	0.045
2011-01-01T08:32:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-04T01:54:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-06T04:31:00	James Hintz	13_052010	44000000	4400000000						3	0.045
2011-01-06T04:46:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-09T19:43:00	James Hintz	lappy_010411	44000000	4400000000						3	0.045
2011-01-10T07:59:00	James Hintz	NEW_OMFG	44000000	4400000000						11	0.165
2011-01-10T17:53:00	James Hintz	17_051310	44000000	4400000000						3	0.045
2011-02-01T19:21:00	James Hintz	OMFG	44000000	4400000000						111	1.662
2011-02-05T16:19:00	James Hintz	OMFG	44000000	4400000000						111	1.662
2011-07-27T15:34:00	Carsten Kossendey	leela	44000000	4400000000						100	1.497
2011-10-25T23:11:00	Michael Kenn	Manual testing			61167732721678433849767778580632139170105573259183 56879	181.997		1		1	-
2011-10-29T20:33:00	Michael Kenn	Edkar-V	44000000	4400000000						283	4.236
2011-12-13T19:44:00	Michael Kenn	Manual testing	44000000	4400000000						12280	183.8
2012-02-04T13:39:00	Michael Kenn	Manual testing	44000000	4400000000						769	11.51
2012-09-01T12:06:00	BloodIce	URM2	110000000	11000000000						10	0.374
2013-04-01T21:41:00	Never Odd Or Even	Manual testing	200000000	20000000000						252	17.15
2013-04-14T11:47:00	Never Odd Or Even	Dad	1000000	1000000						10	0.002
2013-04-14T11:53:00	Never Odd Or Even	Dad	1000000	10000000000						10	0.113
2013-04-18T19:50:00	Never Odd Or Even	Dad	100000000	1000000000000						91	102.8
2013-04-19T00:04:00	Never Odd Or Even	Manual testing	100000000	1000000000000						91	102.8
2013-04-19T22:48:00	Never Odd Or Even	Manual testing	100000000	1000000000000						91	102.8
2013-04-20T12:30:00	Never Odd Or Even	Manual testing	100000000	1000000000000						91	102.8
2013-04-21T14:25:00	Never Odd Or Even	Manual testing	100000000	1000000000000						91	102.8
2013-05-02T05:19:00	Never Odd Or Even	Note	200000000	2000000000000						1	2.259
2014-05-21T01:54:00	ANONYMOUS	Manual testing			22053390021902056444354293154701006674049109757797 668799	183.847		1		1	-
2015-02-10T17:16:00	ANONYMOUS	Notebook	100000	10000000						1	3.40218e-5
2015-02-10T17:39:00	ANONYMOUS	Notebook	10000000	1000000000						1	0.003
2015-02-28T10:20:00	ANONYMOUS	Notebook	10000000	1000000000000						1	1.109
2015-04-14T17:08:00	Never Odd Or Even	Manual testing	10000000	1000000000000						176100	195,287
2015-07-11T13:05:00	Never Odd Or Even	Manual testing	10000000	1000000000000						250000	277,238
2016-10-21T18:25:53	Bruno Victal	Manual testing	260000000	3178559884516						3072	10,989
2017-04-09T15:23:57	YarBer	Manual testing	100000000	10000000000						1	0.034
2017-04-09T15:23:57	YarBer	Manual testing	1000000000	100000000000						1	0.340
2017-04-09T15:23:57	YarBer	Manual testing	10000000000	1000000000000						1	3.402
2017-04-09T15:23:57	YarBer	Manual testing	100000000000	10000000000000						1	34.02
2018-06-04T06:22:13	Hexaflexagon	Manual testing	260000000	3178559884516						320	1,145
2019-11-16T04:38:03	Ryan Propper	Manual testing	260000000	26000000000						4096	362.3
2019-11-16T04:38:03	Ryan Propper	Manual testing	850000000	85000000000						3868	1,119
2019-11-16T04:38:03	Ryan Propper	Manual testing	2900000000	290000000000						1152	1,137
2019-11-16T04:38:03	Ryan Propper	Manual testing	7600000000	760000000000						948	2,451
2019-11-19T03:23:55	Ryan Propper	Manual testing	260000000	26000000000						5416	479.1
2019-11-19T03:23:55	Ryan Propper	Manual testing	850000000	85000000000						12000	3,470
2019-11-19T03:23:55	Ryan Propper	Manual testing	2900000000	290000000000						3900	3,848
2019-11-19T03:23:55	Ryan Propper	Manual testing	7600000000	760000000000						2748	7,105
2020-08-22T14:05:45	Ensigma	T470	800000000	80000000000						2	0.544
2020-08-26T17:56:42	Ensigma	T470	800000000	80000000000						5	1.361
2020-08-26T19:17:55	-Anonymous-	vps_sing	800000000	80000000000						2	0.544
2020-08-26T22:01:33	Ensigma	jpbetatesting	800000000	80000000000						1	0.272
2020-08-29T13:19:07	Ensigma	jpbetatesting	800000000	80000000000						2	0.544
2020-12-07T08:21:43	nordi	sweet16	1000000000	100000000000						10	3.402
2020-12-07T08:21:50	nordi	sweet16	1000000000	100000000000						10	3.402
2021-01-20T13:13:37	nordi	sweet16	1000000000	214000000000						2	0.933
2021-01-20T15:48:40	nordi	sweet16	1000000000	214000000000						2	0.933
2021-01-20T20:48:14	nordi	sweet16	1000000000	214000000000						2	0.933
2021-01-21T05:09:59	nordi	sweet16	1000000000	214000000000						2	0.933
2021-01-21T11:15:36	nordi	sweet16	1000000000	214000000000						2	0.933
2021-01-22T05:41:24	nordi	sweet16	1000000000	214000000000						2	0.933
2021-02-04T08:44:15	Marcel PERRIN	Manual testing	800000000	8000123456789						6	54.22
2021-02-04T08:44:42	Marcel PERRIN	Manual testing	800000000	16000123456789						2	35.78
2021-02-14T10:02:58	Marcel PERRIN	Manual testing	800000000	32000123456789						1	35.60
2021-03-12T16:55:00	_p95holder_	TFL16_PRPt11-E_b	50000	5000000						280	0.005
2021-03-12T17:32:59	_p95holder_	TFL16_PRPt11-E_b	250000	25000000						640	0.054
2021-03-13T02:34:11	_p95holder_	TFL16_PRPt11-E_b	1000000	100000000						1580	0.538
2021-03-15T11:26:29	_p95holder_	TFL16_PRPt11-E_b	3000000	300000000						4700	4.797
2021-03-20T14:22:42	Bruno Victal	Manual testing	2900000000	81051862041166						132	11,928
2021-03-20T14:22:42	Bruno Victal	Manual testing	2900000000	1323843357957408						377	552,572
2021-03-27T16:37:18	nordi	Manual testing	2900000000	105101237217912						8547	999,801
2021-05-28T15:44:36	_p95holder_	TFL16_PRPt11-E_b	11000000	1100000000						9700	36.30

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