M8 681 Mersenne number exponent details

Residue

Status

L-L

884327EF030E3A31

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	3,422.8681	79.1045%	50000000000	4000000000000	46.8937	23.7915%	3,469.7618	84.0758%
Target	2⁴⁴	0.0003	68.1818%	500	10000	0.0000	1.2099%	0.0003	68.5668%
Difference	+23	+3,422.8678	+10.9227%	+49999999500	+3999999990000	+46.8937	+22.5815%	+3,469.7615	+15.5090%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

3,422.8681

79.1045%

50000000000

4000000000000

46.8937

23.7915%

3,469.7618

84.0758%

Target

2⁴⁴

0.0003

68.1818%

500

10000

0.0000

1.2099%

0.0003

68.5668%

Difference

+23

+3,422.8678

+10.9227%

+49999999500

+3999999990000

+46.8937

+22.5815%

+3,469.7615

+15.5090%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-02-11	ANONYMOUS	v4_computers	1000000	100000000		-		-	-	0.001	-	-	4.108%
2001-06-23	ANONYMOUS	v4_computers	43000000	4290000000		-		-	-	0.049	-	-	10.299%
2001-09-10	ANONYMOUS	v4_computers	3000000000	4290000000		-		-	-	0.543	-	-	11.339%
2002-06-15	ANONYMOUS	v4_computers	1073741824	4290000000		-		-	-	0.221	-	-	11.390%
2002-08-31	ANONYMOUS	v4_computers	2147483648	4290000000		-		-	-	0.400	-	-	11.377%
2002-10-26	ANONYMOUS	v4_computers	3221225472	4290000000		-		-	-	0.580	-	-	11.328%
2003-02-24	ANONYMOUS	v4_computers	4290000000	2147483647		-		-	-	0.759	-	-	11.276%
2015-02-02	Jayder	HPJared	1308096280	81101969375		-		-	-	1.000	-	-	16.216%
2016-05-18	ANONYMOUS	Manual testing	10000000000	100000000000	12	-		-	-	2.635	-	-	16.995%
2016-06-21	mikr	S052	50000000000	4000000000000	12	-		-	-	46.89	-	-	23.791%
2016-11-12	ANONYMOUS	Manual testing	100000000000	1000000000000	12	-		-	-	26.35	-	-	21.269%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2001-02-11

ANONYMOUS

v4_computers

1000000

100000000

0.001

-

-

4.108%

2001-06-23

ANONYMOUS

v4_computers

43000000

4290000000

0.049

-

-

10.299%

2001-09-10

ANONYMOUS

v4_computers

3000000000

4290000000

0.543

-

-

11.339%

2002-06-15

ANONYMOUS

v4_computers

1073741824

4290000000

0.221

-

-

11.390%

2002-08-31

ANONYMOUS

v4_computers

2147483648

4290000000

0.400

-

-

11.377%

2002-10-26

ANONYMOUS

v4_computers

3221225472

4290000000

0.580

-

-

11.328%

2003-02-24

ANONYMOUS

v4_computers

4290000000

2147483647

0.759

-

-

11.276%

2015-02-02

Jayder

HPJared

1308096280

81101969375

1.000

-

-

16.216%

2016-05-18

ANONYMOUS

Manual testing

10000000000

100000000000

2.635

-

-

16.995%

2016-06-21

mikr

S052

50000000000

4000000000000

46.89

-

-

23.791%

2016-11-12

ANONYMOUS

Manual testing

100000000000

1000000000000

26.35

-

-

21.269%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-05-12	ATH	5960X	1000000000	241000000000	2	7			-	-	2.725

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2021-05-12

ATH

5960X

1000000000

241000000000

2.725

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-09-22	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.069	-	-
1999-12-30	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.138	-	-
2000-02-23	ANONYMOUS	v4_computers	2⁵⁴	2⁵⁵		-	-	0.276	-	-
2000-07-25	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	1.106	-	-
2002-12-16	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	2.212	-	-
2016-02-23	LaurV	Manual testing	2⁵⁷	2⁵⁸		-	-	2.212	-	-
2010-07-20	George Woltman	Manual testing	2⁵⁸	2⁵⁹		-	-	4.423	-	-
2010-07-20	George Woltman	Manual testing	2⁵⁹	2⁶⁰		-	-	8.846	-	-
2012-11-08	bcp19	Manual testing	2⁶⁰	2⁶¹		-	-	17.69	-	-
2015-07-29	Sid & Andy	Woody	2⁶¹	2⁶²		-	-	35.39	-	-
2016-10-31	snme2pm1	G1	2⁶²	2⁶³		-	-	113.1	-	-
2018-11-06	snme2pm1	g10	2⁶³	2⁶⁴		-	-	226.2	-	-
2021-01-06	Ruslan Borisov	Manual testing	2⁶⁴	2⁶⁵		-	-	430.4	-	-
2022-02-28	Anton Repko	Manual testing	2⁶⁴	2⁶⁶		-	-	1,291	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

1999-09-22

ANONYMOUS

v4_computers

2⁵²

2⁵³

0.069

-

-

1999-12-30

ANONYMOUS

v4_computers

2⁵³

2⁵⁴

0.138

-

-

2000-02-23

ANONYMOUS

v4_computers

2⁵⁴

2⁵⁵

0.276

-

-

2000-07-25

ANONYMOUS

v4_computers

2¹

2⁵⁶

1.106

-

-

2002-12-16

ANONYMOUS

v4_computers

2¹

2⁵⁷

2.212

-

-

2016-02-23

LaurV

Manual testing

2⁵⁷

2⁵⁸

2.212

-

-

2010-07-20

George Woltman

Manual testing

2⁵⁸

2⁵⁹

4.423

-

-

2010-07-20

George Woltman

Manual testing

2⁵⁹

2⁶⁰

8.846

-

-

2012-11-08

bcp19

Manual testing

2⁶⁰

2⁶¹

17.69

-

-

2015-07-29

Sid & Andy

Woody

2⁶¹

2⁶²

35.39

-

-

2016-10-31

snme2pm1

2⁶²

2⁶³

113.1

-

-

2018-11-06

snme2pm1

g10

2⁶³

2⁶⁴

226.2

-

-

2021-01-06

Ruslan Borisov

Manual testing

2⁶⁴

2⁶⁵

430.4

-

-

2022-02-28

Anton Repko

Manual testing

2⁶⁴

2⁶⁶

1,291

-

-

ECM factoring results:

Total ECM effort:	4,946.680 GHz-days
Estimated T-Level:	50.853

Digits	B1	Complete	FacMiss
20	11000	9,982.118	0.000%
25	50000	3,249.132	0.000%
30	250000	974.367	0.000%
35	1000000	223.870	0.000%
40	3000000	44.381	0.000%
45	11000000	7.756	0.043%
50	44000000	1.203	30.030%
55	110000000	0.171	84.314%
60	260000000	0.022	97.819%
65	800000000	0.002	99.771%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	280	0.036
250000	25000000	640	0.407
1000000	100000000	1,580	4.020
11000000	1100000000	42	1.176
11000000	36578884662	9,600	3,088
44000000	4400000000	14,203	1,590
110000000	11000000000	200	55.98
110000000	2483118087450	10	207.4

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-08	Jayson King	atlas	11000000	1100000000						3	0.084
2008-12-14	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2008-12-14	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2008-12-17	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2008-12-17	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2008-12-18	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2008-12-21	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2008-12-21	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2008-12-25	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2008-12-25	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2009-01-01	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2009-01-04	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2009-01-04	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2009-01-05	Matthias Wurtinger	WUR_E6600	11000000	1100000000						3	0.084
2009-04-26	Carsten Kossendey	durandal	44000000	4400000000						1	0.112
2009-05-24	unconnected	Q6600-cz	110000000	11000000000						100	27.99
2009-07-13	eteo	stephanie	110000000	11000000000						100	27.99
2009-09-01	James Hintz	19_071509	44000000	4400000000						3	0.336
2009-09-01	James Hintz	20_071509	44000000	4400000000						3	0.336
2009-09-01	James Hintz	17_071509	44000000	4400000000						3	0.336
2009-09-11	James Hintz	18_071509	44000000	4400000000						3	0.336
2009-09-22	James Hintz	01_091909	44000000	4400000000						3	0.336
2009-09-22	James Hintz	03_091909	44000000	4400000000						3	0.336
2009-09-22	James Hintz	08_091909	44000000	4400000000						3	0.336
2009-09-22	James Hintz	07_091909	44000000	4400000000						3	0.336
2009-09-22	James Hintz	04_091909	44000000	4400000000						3	0.336
2009-09-22	James Hintz	05_091909	44000000	4400000000						3	0.336
2009-09-22	James Hintz	12_091909	44000000	4400000000						3	0.336
2009-09-22	James Hintz	11_091909	44000000	4400000000						3	0.336
2009-09-22	James Hintz	02_091909	44000000	4400000000						3	0.336
2009-09-23	James Hintz	10_091909	44000000	4400000000						3	0.336
2009-09-23	James Hintz	19_091909	44000000	4400000000						3	0.336
2009-09-23	James Hintz	09_091909	44000000	4400000000						3	0.336
2009-09-24	James Hintz	20_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	17_091909	44000000	4400000000						3	0.336
2009-09-26	Carsten Kossendey	Manual testing	44000000	4400000000						10	1.120
2009-09-26	James Hintz	15_091909	44000000	4400000000						3	0.336
2009-09-26	James Hintz	13_091909	44000000	4400000000						3	0.336
2009-09-26	James Hintz	18_091909	44000000	4400000000						3	0.336
2009-09-26	James Hintz	16_091909	44000000	4400000000						3	0.336
2010-10-13	Mr. P-1	cuica2	44000000	4400000000						3	0.336
2010-12-18	Carsten Kossendey	leela	44000000	4400000000						10	1.120
2015-01-24	mognuts	hallowes	44000000	4400000000						1	0.112
2015-10-30	Sid & Andy	Bullseye	44000000	4400000000						10	1.120
2015-12-05	ATH	xps	44000000	4400000000						1	0.112
2016-04-11	Carsten Kossendey	leela	44000000	4400000000						930	104.1
2016-05-13	mognuts	Manual testing	44000000	4400000000						1	0.112
2016-05-26	Carsten Kossendey	leela	44000000	4400000000						999	111.8
2016-07-11	lycorn	asteroid	44000000	4400000000						500	55.98
2016-09-24	mikr	MSI	44000000	4400000000						500	55.98
2016-10-17	Carsten Kossendey	leela	44000000	4400000000						490	54.86
2016-10-17	Carsten Kossendey	leela	44000000	4400000000						510	57.10
2016-11-03	lycorn	asteroid	44000000	4400000000						500	55.98
2016-12-09	Carsten Kossendey	durandal	44000000	4400000000						425	47.58
2016-12-09	Carsten Kossendey	durandal	44000000	4400000000						295	33.03
2016-12-09	Carsten Kossendey	durandal	44000000	4400000000						410	45.90
2016-12-09	Carsten Kossendey	durandal	44000000	4400000000						370	41.42
2017-01-01	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-01-19	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-02-06	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-02-22	Carsten Kossendey	leela	44000000	4400000000						950	106.4
2017-02-22	Carsten Kossendey	leela	44000000	4400000000						950	106.4
2017-02-22	Carsten Kossendey	leela	44000000	4400000000						950	106.4
2017-02-22	Carsten Kossendey	leela	44000000	4400000000						950	106.4
2017-02-23	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-03-13	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-03-31	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-04-15	James Hintz	11_04_2016	44000000	4400000000						10	1.120
2017-04-18	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-04-29	James Hintz	11_04_2016	44000000	4400000000						100	11.20
2017-04-30	James Hintz	11_04_2016	44000000	4400000000						100	11.20
2017-05-05	James Hintz	11_04_2016	44000000	4400000000						100	11.20
2017-05-07	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-05-17	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-05-23	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-07-16	Carsten Kossendey	leela	44000000	4400000000						712	79.71
2017-07-16	Carsten Kossendey	leela	44000000	4400000000						735	82.29
2017-07-16	Carsten Kossendey	leela	44000000	4400000000						805	90.12
2017-07-16	Carsten Kossendey	leela	44000000	4400000000						809	90.57
2019-09-02	_p95holder_	TFL16_PRPt11-E_b	50000	5000000						280	0.036
2021-03-12	_p95holder_	TFL16_PRPt11-E_b	250000	25000000						640	0.407
2021-04-13	_p95holder_	TFL16_PRPt11-E_b	1000000	100000000						1580	4.020
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2023-04-17	trebor	Desktop	110000000	2483118087450						10	207.4

date	userid	compid	res64	spent (GHz-days)
1997-01-01	George Woltman		884327EF030E3A31	1.05860e-6
2015-04-11	MadPoo	Manual testing	884327EF030E3A31	1.05860e-6

date

userid

compid

res64

spent (GHz-days)

1997-01-01

George Woltman

884327EF030E3A31

1.05860e-6

2015-04-11

MadPoo

Manual testing

884327EF030E3A31

1.05860e-6

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