M9 929 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,992.6395	79.1045%	100000000000	1000000000000	26.3522	21.3989%	3,018.9917	83.5759%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.2611%	0.0002	68.5831%
Difference	+23	+2,992.6393	+10.9227%	+99999999500	+999999990000	+26.3522	+20.1379%	+3,018.9915	+14.9928%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-02-11	ANONYMOUS	v4_computers	1000000	100000000		-		-	-	0.001	-	-	4.174%
2001-05-27	ANONYMOUS	v4_computers	1000000	100000000		-		-	-	0.001	-	-	4.174%
2001-05-27	ANONYMOUS	v4_computers	3000000000	4290000000		-		-	-	0.543	-	-	11.442%
2002-06-23	ANONYMOUS	v4_computers	1073741824	4290000000		-		-	-	0.221	-	-	11.496%
2002-09-14	ANONYMOUS	v4_computers	2147483648	4290000000		-		-	-	0.400	-	-	11.481%
2002-11-16	ANONYMOUS	v4_computers	3221225472	4290000000		-		-	-	0.580	-	-	11.431%
2003-03-16	ANONYMOUS	v4_computers	4290000000	2147483647		-		-	-	0.759	-	-	11.378%
2004-09-02	ANONYMOUS	v4_computers	1000	100000		-		-	-	1.13055e-6	-	-	0.017%
2004-09-02	ANONYMOUS	v4_computers	10000	1000000		-		-	-	1.13055e-5	-	-	0.339%
2004-09-02	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.000	-	-	1.631%
2004-09-02	ANONYMOUS	v4_computers	1000000	100000000		-		-	-	0.001	-	-	4.174%
2004-09-02	ANONYMOUS	v4_computers	10000000	1000000000		-		-	-	0.011	-	-	7.748%
2005-04-11	ANONYMOUS	v4_computers	1000000	100000000		-		-	-	0.001	-	-	4.174%
2005-04-11	ANONYMOUS	v4_computers	10000000	50000000		-		-	-	0.002	-	-	4.633%
2015-02-12	Jayder	HPJared	1359491973	80210026404		-		-	-	1.000	-	-	16.339%
2016-05-19	ANONYMOUS	Manual testing	10000000000	100000000000	12	-		-	-	2.635	-	-	17.119%
2016-10-30	ANONYMOUS	Manual testing	20000000000	200000000000	12	-		-	-	5.270	-	-	18.407%
2016-10-30	ANONYMOUS	Manual testing	40000000000	400000000000	12	-		-	-	10.54	-	-	19.697%
2016-11-03	ANONYMOUS	Manual testing	100000000000	1000000000000	12	-		-	-	26.35	-	-	21.399%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-05-11	ATH	5960X	1000000000	241000000000	2	7			-	-	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		-	-	0.060	-	-
1999-12-30	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.121	-	-
2000-03-01	ANONYMOUS	v4_computers	2⁵⁴	2⁵⁵		-	-	0.242	-	-
2000-05-31	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.967	-	-
2002-12-09	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	1.934	-	-
2016-02-23	LaurV	Manual testing	2⁵⁷	2⁵⁸		-	-	1.934	-	-
2010-07-20	George Woltman	Manual testing	2⁵⁸	2⁵⁹		-	-	3.867	-	-
2010-07-20	George Woltman	Manual testing	2⁵⁹	2⁶⁰		-	-	7.734	-	-
2012-11-08	bcp19	Manual testing	2⁶⁰	2⁶¹		-	-	15.47	-	-
2015-01-05	LaurV	Manual testing	2⁶¹	2⁶²		-	-	30.94	-	-
2015-01-20	LaurV	Manual testing	2⁶²	2⁶³		-	-	98.87	-	-
2018-07-31	Anton Repko	Manual testing	2⁶³	2⁶⁴		-	-	197.7	-	-
2019-08-27	monsted	Manual testing	2⁶⁴	2⁶⁵		-	-	376.3	-	-
2022-06-15	Anton Repko	Manual testing	2⁶⁵	2⁶⁶		-	-	752.6	-	-

ECM factoring results:

Total ECM effort:	2,513.859 GHz-days
Estimated T-Level:	50.780

Digits	B1	Complete	FacMiss
20	11000	6,815.684	0.000%
25	50000	2,201.308	0.000%
30	250000	656.712	0.000%
35	1000000	156.778	0.000%
40	3000000	33.077	0.000%
45	11000000	6.192	0.205%
50	44000000	1.028	35.770%
55	110000000	0.156	85.556%
60	260000000	0.022	97.868%
65	800000000	0.003	99.724%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	280	0.036
50000	50000000	10,000	4.997
250000	25000000	640	0.407
250000	250000000	4,000	9.99
1000000	100000000	1,582	4.025
1000000	1000000000	1,000	9.99
11000000	1100000000	500	13.99
44000000	4400000000	14,028	1,570
110000000	11000000000	110	30.79
110000000	149140361370	200	284.6
110000000	149153279192	100	142.3
110000000	149164461544	100	142.3
110000000	149178813612	100	142.4
110000000	149205675954	100	142.4
various		118	15.1236

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2001-05-27	ANONYMOUS	v4_computers	2000	200000						25	0.000
2001-05-27	ANONYMOUS	v4_computers	11000	1100000						90	0.003
2008-06-26	George Woltman	Manual testing	11000000	1100000000						500	13.99
2009-04-27	Carsten Kossendey	durandal	44000000	4400000000						1	0.112
2009-05-11	unconnected	X3210-gr	110000000	1100000000						1	0.198
2009-05-11	unconnected	saudi-Q6700	1000000	100000000						1	0.003
2009-05-11	unconnected	saudi-Q6700	1000000	100000000						1	0.003
2009-06-02	unconnected	Q6600-cz	110000000	11000000000						100	27.99
2009-09-25	James Hintz	01_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	03_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	08_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	04_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	07_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	05_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	12_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	11_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	02_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	10_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	19_091909	44000000	4400000000						3	0.336
2009-09-25	James Hintz	09_091909	44000000	4400000000						3	0.336
2009-09-26	Carsten Kossendey	Manual testing	44000000	4400000000						10	1.120
2009-09-26	James Hintz	20_091909	44000000	4400000000						3	0.336
2009-09-28	James Hintz	17_091909	44000000	4400000000						3	0.336
2009-09-28	James Hintz	15_091909	44000000	4400000000						3	0.336
2009-09-28	James Hintz	13_091909	44000000	4400000000						3	0.336
2009-09-28	James Hintz	18_091909	44000000	4400000000						3	0.336
2009-09-29	James Hintz	16_091909	44000000	4400000000						3	0.336
2011-04-23	kurly	slice	44000000	4400000000						3	0.336
2011-05-11	kurly	kk	44000000	4400000000						10	1.120
2011-05-15	kurly	kk	44000000	4400000000						10	1.120
2015-11-01	Sid & Andy	Bullseye	44000000	4400000000						10	1.120
2015-12-05	ATH	xps	44000000	4400000000						1	0.112
2016-04-08	Carsten Kossendey	tycho	44000000	4400000000						758	84.86
2016-09-02	Bruno Victal	5820K-factoring	44000000	4400000000						150	16.79
2016-09-10	Bruno Victal	5820K-factoring	44000000	4400000000						150	16.79
2016-10-10	Carsten Kossendey	leela	44000000	4400000000						700	78.37
2016-11-25	Carsten Kossendey	leela	44000000	4400000000						500	55.98
2016-11-25	Carsten Kossendey	leela	44000000	4400000000						500	55.98
2016-11-26	Carsten Kossendey	leela	44000000	4400000000						500	55.98
2016-11-26	Carsten Kossendey	leela	44000000	4400000000						500	55.98
2016-12-17	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	11.20
2017-01-27	Carsten Kossendey	leela	44000000	4400000000						475	53.18
2017-01-27	Carsten Kossendey	leela	44000000	4400000000						475	53.18
2017-01-28	Carsten Kossendey	leela	44000000	4400000000						475	53.18
2017-01-28	Carsten Kossendey	leela	44000000	4400000000						475	53.18
2017-02-23	Sid & Andy	Etch	44000000	4400000000						100	11.20
2017-03-14	Sid & Andy	Etch	44000000	4400000000						100	11.20
2017-04-17	James Hintz	11_04_2016	44000000	4400000000						10	1.120
2017-05-04	Sid & Andy	Etch	44000000	4400000000						100	11.20
2017-05-14	James Hintz	11_04_2016	44000000	4400000000						100	11.20
2017-05-14	James Hintz	11_04_2016	44000000	4400000000						100	11.20
2017-05-19	James Hintz	11_04_2016	44000000	4400000000						100	11.20
2017-06-05	Sid & Andy	Etch	44000000	4400000000						100	11.20
2017-06-23	Carsten Kossendey	leela	44000000	4400000000						873	97.73
2017-06-23	Carsten Kossendey	leela	44000000	4400000000						835	93.48
2017-06-23	Carsten Kossendey	leela	44000000	4400000000						858	96.06
2017-06-23	Carsten Kossendey	leela	44000000	4400000000						855	95.72
2017-07-06	Sid & Andy	Etch	44000000	4400000000						100	11.20
2017-07-09	Sid & Andy	Woody	44000000	4400000000						100	11.20
2017-08-18	Sid & Andy	Etch	44000000	4400000000						100	11.20
2017-09-12	Sid & Andy	Etch	44000000	4400000000						100	11.20
2017-09-22	Sid & Andy	Mr_Mike	44000000	4400000000						100	11.20
2017-10-13	Carsten Kossendey	leela	44000000	4400000000						885	99.08
2017-10-13	Carsten Kossendey	leela	44000000	4400000000						885	99.08
2017-10-13	Carsten Kossendey	leela	44000000	4400000000						885	99.08
2017-10-15	Carsten Kossendey	leela	44000000	4400000000						885	99.08
2019-09-02	_p95holder_	TFL16_PRPt11-E_b	50000	5000000						280	0.036
2020-01-01	Yuji HASEGAWA	gl235	110000000	11000000000						10	2.799
2021-03-12	_p95holder_	TFL16_PRPt11-E_b	250000	25000000						640	0.407
2021-04-19	_p95holder_	TFL16_PRPt11-E_b	1000000	100000000						1580	4.020
2022-11-08	Gordon Spence	Manual testing	50000	50000000						10000	4.997
2022-11-08	Gordon Spence	Manual testing	250000	250000000						4000	9.99
2022-11-08	Gordon Spence	Manual testing	1000000	1000000000						1000	9.99
2022-11-08	Gordon Spence	Manual testing	2900000000	300000000000						2	14.92
2023-03-18	kracker	T	110000000	149205675954						100	142.4
2023-03-18	kracker	T	110000000	149140361370						100	142.3
2023-03-18	kracker	T	110000000	149140361370						100	142.3
2023-03-18	kracker	T	110000000	149178813612						100	142.4
2023-03-18	kracker	T	110000000	149164461544						100	142.3
2023-03-18	kracker	T	110000000	149153279192						100	142.3

date	userid	compid	res64	spent (GHz-days)
1997-01-01	George Woltman		ECA5D56647C5498A	1.21079e-6
2015-04-11	MadPoo	Manual testing	ECA5D56647C5498A	1.21079e-6

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 100000000000, B2 = 1000000000000 (P-1 stage 2)

B1 = 100000000000 (P-1 stage 1)

B1 = 40000000000, B2 = 400000000000 (P-1 stage 2)

B1 = 40000000000 (P-1 stage 1)

B1 = 20000000000, B2 = 200000000000 (P-1 stage 2)

B1 = 20000000000 (P-1 stage 1)

B1 = 10000000000, B2 = 100000000000 (P-1 stage 2)

B1 = 10000000000 (P-1 stage 1)

B1 = 1359491973, B2 = 80210026404 (P-1 stage 2)

B1 = 4290000000 (P-1 stage 1)

B1 = 3221225472, B2 = 4290000000 (P-1 stage 2)

B1 = 3221225472 (P-1 stage 1)

B1 = 3000000000, B2 = 4290000000 (P-1 stage 2)

B1 = 3000000000 (P-1 stage 1)

B1 = 2147483648, B2 = 4290000000 (P-1 stage 2)

B1 = 2147483648 (P-1 stage 1)

B1 = 1359491973 (P-1 stage 1)

B1 = 1073741824, B2 = 4290000000 (P-1 stage 2)

B1 = 1073741824 (P-1 stage 1)

B1 = 10000000, B2 = 1000000000 (P-1 stage 2)

B1 = 10000000, B2 = 50000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 1000000, B2 = 100000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 100000, B2 = 10000000 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 10000, B2 = 1000000 (P-1 stage 2)

B1 = 10000 (P-1 stage 1)

B1 = 1000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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