M12 637 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,351.3427	79.1045%	1000000000000	1400138873880026280	21,815,211.9016	45.6421%	21,817,563.2443	88.6416%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3576%	0.0002	68.6138%
Difference	+23	+2,351.3425	+10.9227%	+999999999500	+1400138873880016280	+21,815,211.9016	+44.2845%	+21,817,563.2441	+20.0278%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-04-29	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.000	-	-	1.697%
2001-07-17	Alex Kruppa	v4_computers	1000000	100000000		-		-	-	0.002	-	-	4.296%
2001-09-30	ANONYMOUS	v4_computers	43000000	4290000000		-		-	-	0.078	-	-	10.612%
2002-04-28	ANONYMOUS	v4_computers	16384	1638400		-		-	-	2.99573e-5	-	-	0.542%
2002-06-09	ANONYMOUS	v4_computers	32768	3276800		-		-	-	5.99146e-5	-	-	0.890%
2002-07-14	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.000	-	-	1.354%
2003-02-02	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.000	-	-	1.940%
2003-03-27	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.000	-	-	2.642%
2003-04-03	ANONYMOUS	v4_computers	524288	52428800		-		-	-	0.001	-	-	3.452%
2003-04-27	ANONYMOUS	v4_computers	1048576	104857600		-		-	-	0.002	-	-	4.361%
2003-05-19	ANONYMOUS	v4_computers	2097152	209715200		-		-	-	0.004	-	-	5.362%
2003-07-06	ANONYMOUS	v4_computers	4194304	419430400		-		-	-	0.008	-	-	6.449%
2003-09-29	ANONYMOUS	v4_computers	8388608	838860800		-		-	-	0.015	-	-	7.616%
2003-09-29	ANONYMOUS	v4_computers	16777216	1677721600		-		-	-	0.031	-	-	8.854%
2011-05-13	Jocelyn Larouche	Manual testing	400000000	400000000		-		-	-	0.114	-	-	7.772%
2012-10-12	Jocelyn Larouche	Manual testing	724033085	724033085		-		-	-	0.207	-	-	8.681%
2013-02-06	bcp19	Toshiba-740Q	10000000000	100000000000		-		-	-	4.262	-	-	17.342%
2018-07-18	James Hintz	3_1_2018	25568222595	1917616694625	12	-		-	-	36.79	-	-	22.754%
2022-03-16	-Anonymous-	T5810	100000000000	100013732677278420		-		-	-	1,558,297	-	-	40.343%
2022-10-19	-Anonymous-	T5810	1000000000000	1400138873880026280		-		-	-	21,815,212	-	-	45.642%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-05-10	ATH	5960X	1000000000	241000000000	2	7			-	-	4.099

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-09-14	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.047	-	-
2000-01-19	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.095	-	-
2000-07-17	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.380	-	-
2000-09-08	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.760	-	-
2002-08-24	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	1.519	-	-
2016-02-23	LaurV	Manual testing	2⁵⁷	2⁵⁸		-	-	1.519	-	-
2010-07-11	George Woltman	Manual testing	2⁵⁸	2⁵⁹		-	-	3.039	-	-
2010-07-11	George Woltman	Manual testing	2⁵⁹	2⁶⁰		-	-	6.077	-	-
2012-11-22	bcp19	Manual testing	2⁶⁰	2⁶¹		-	-	12.15	-	-
2015-09-14	Sid & Andy	Woody	2⁶¹	2⁶²		-	-	24.31	-	-
2016-10-23	Sid & Andy	Woody	2⁶²	2⁶³		-	-	77.68	-	-
2018-10-12	snme2pm1	g10	2⁶³	2⁶⁴		-	-	155.4	-	-
2019-03-27	Anton Repko	Manual testing	2⁶⁴	2⁶⁵		-	-	295.7	-	-
2021-10-29	Ruslan Borisov	Manual testing	2⁶⁵	2⁶⁶		-	-	591.3	-	-

ECM factoring results:

Total ECM effort:	9,833.987 GHz-days
Estimated T-Level:	47.842

Digits	B1	Complete	FacMiss
20	11000	4,377.019	0.000%
25	50000	1,589.795	0.000%
30	250000	444.649	0.000%
35	1000000	103.695	0.000%
40	3000000	20.599	0.000%
45	11000000	3.618	2.683%
50	44000000	0.568	56.641%
55	110000000	0.081	92.196%
60	260000000	0.011	98.935%
65	800000000	0.001	99.884%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	280	0.058
1000000	100000000	1,915	7.880
3000000	300000000	100	1.235
11000000	1100000000	8,731	395.2
43000000	240490660426	2,748	9,174
44000000	4400000000	1,411	255.5

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-26	Jayson King	atlas	1000000	100000000						30	0.123
2008-10-27	Jayson King	atlas	1000000	100000000						30	0.123
2008-11-14	Jayson King	atlas	1000000	100000000						10	0.041
2008-11-17	Jayson King	atlas	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						5	0.021
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-01-14	Matt	Dell	1000000	100000000						10	0.041
2009-04-24	Carsten Kossendey	durandal	11000000	1100000000						1	0.045
2009-05-15	unconnected	Q6600-turk	3000000	300000000						100	1.235
2009-05-20	unconnected	Q6600-turk	44000000	4400000000						50	9.053
2009-09-26	James Hintz	08_091909	11000000	1100000000						3	0.136
2009-09-26	James Hintz	01_091909	11000000	1100000000						3	0.136
2009-09-26	James Hintz	03_091909	11000000	1100000000						3	0.136
2009-09-26	James Hintz	05_091909	11000000	1100000000						3	0.136
2009-09-26	James Hintz	07_091909	11000000	1100000000						3	0.136
2009-09-26	James Hintz	12_091909	11000000	1100000000						3	0.136
2009-09-26	James Hintz	02_091909	11000000	1100000000						3	0.136
2009-09-26	James Hintz	11_091909	11000000	1100000000						3	0.136
2009-09-27	James Hintz	06_091909	11000000	1100000000						3	0.136
2009-09-27	James Hintz	10_091909	11000000	1100000000						3	0.136
2009-09-27	James Hintz	19_091909	11000000	1100000000						3	0.136
2009-09-27	James Hintz	09_091909	11000000	1100000000						3	0.136
2009-09-28	James Hintz	20_091909	11000000	1100000000						3	0.136
2009-09-30	James Hintz	17_091909	11000000	1100000000						3	0.136
2009-09-30	James Hintz	13_091909	11000000	1100000000						3	0.136
2009-09-30	James Hintz	18_091909	11000000	1100000000						3	0.136
2009-09-30	James Hintz	15_091909	11000000	1100000000						3	0.136
2009-09-30	James Hintz	16_091909	11000000	1100000000						3	0.136
2009-11-20	Carsten Kossendey	Manual testing	11000000	1100000000						10	0.453
2010-03-22	Bud	annan	11000000	1100000000						10	0.453
2010-04-10	James Hintz	OMFG	11000000	1100000000						11	0.498
2011-04-01	Bud	annan	11000000	1100000000						150	6.790
2011-05-10	Bud	annan	11000000	1100000000						150	6.790
2011-06-11	Bud	annan	11000000	1100000000						150	6.790
2013-03-10	Sergiosi	Manual testing	11000000	1100000000						500	22.63
2013-05-19	Sergiosi	Manual testing	11000000	1100000000						300	13.58
2013-08-29	Sergiosi	Manual testing	11000000	1100000000						350	15.84
2014-06-17	Carsten Kossendey	mother	11000000	1100000000						221	10.00
2014-06-23	Carsten Kossendey	mother	11000000	1100000000						221	10.00
2014-07-07	Carsten Kossendey	mother	11000000	1100000000						221	10.00
2014-07-22	Carsten Kossendey	mother	11000000	1100000000						221	10.00
2014-11-09	Carsten Kossendey	leela	11000000	1100000000						221	10.00
2014-11-10	Carsten Kossendey	leela	11000000	1100000000						221	10.00
2014-11-12	Carsten Kossendey	leela	11000000	1100000000						221	10.00
2014-11-18	Andres Aitsen	S761	11000000	1100000000						2	0.091
2015-02-11	Carsten Kossendey	mother	11000000	1100000000						365	16.52
2015-02-14	Carsten Kossendey	mother	11000000	1100000000						365	16.52
2015-06-15	Carsten Kossendey	leela	11000000	1100000000						800	36.21
2015-07-04	Carsten Kossendey	mother	11000000	1100000000						800	36.21
2015-08-20	Carsten Kossendey	mother	11000000	1100000000						800	36.21
2015-11-18	Carsten Kossendey	tycho	11000000	1100000000						1611	72.92
2015-11-25	BloodIce	URM2	11000000	1100000000						755	34.18
2015-12-07	ATH	xps	44000000	4400000000						1	0.181
2017-01-18	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	18.11
2017-03-09	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	18.11
2017-04-21	James Hintz	11_04_2016	44000000	4400000000						10	1.811
2017-05-25	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	18.11
2017-07-10	Ismo Laitela	6600K	44000000	4400000000						100	18.11
2017-07-15	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	18.11
2017-08-07	Sid & Andy	Woody	44000000	4400000000						100	18.11
2017-08-07	Sid & Andy	Woody	44000000	4400000000						100	18.11
2017-08-14	Sid & Andy	Bullseye	44000000	4400000000						100	18.11
2017-08-19	Sid & Andy	Bullseye	44000000	4400000000						100	18.11
2017-08-26	Sid & Andy	Mr_Mike	44000000	4400000000						100	18.11
2017-09-19	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	18.11
2018-04-08	Hexaflexagon	apollo	44000000	4400000000						150	27.16
2019-03-03	nordi	nordiputer	44000000	4400000000						100	18.11
2019-09-02	_p95holder_	TFL16_PRPt11-E_b	50000	5000000						280	0.058
2019-11-19	Ryan Propper	Manual testing	43000000	240490660426						2748	9,174
2021-05-06	_p95holder_	TFL16_PRPt11-E_b	1000000	100000000						1580	6.502

date	userid	compid	res64	spent (GHz-days)
1997-01-01	George Woltman		2ED5CBECD3183A44	2.49230e-6
2015-04-11	MadPoo	Manual testing	2ED5CBECD3183A44	2.49230e-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 = 1000000000000, B2 = 1400138873880026280 (P-1 stage 2)

B1 = 100000000000, B2 = 100013732677278420 (P-1 stage 2)

B1 = 1000000000000 (P-1 stage 1)

B1 = 25568222595, B2 = 1917616694625 (P-1 stage 2)

B1 = 100000000000 (P-1 stage 1)

B1 = 25568222595 (P-1 stage 1)

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

B1 = 10000000000 (P-1 stage 1)

B1 = 724033085 (P-1 stage 1)

B1 = 400000000 (P-1 stage 1)

B1 = 43000000, B2 = 4290000000 (P-1 stage 2)

B1 = 16777216, B2 = 1677721600 (P-1 stage 2)

B1 = 8388608, B2 = 838860800 (P-1 stage 2)

B1 = 43000000 (P-1 stage 1)

B1 = 4194304, B2 = 419430400 (P-1 stage 2)

B1 = 16777216 (P-1 stage 1)

B1 = 2097152, B2 = 209715200 (P-1 stage 2)

B1 = 8388608 (P-1 stage 1)

B1 = 1048576, B2 = 104857600 (P-1 stage 2)

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

B1 = 4194304 (P-1 stage 1)

B1 = 524288, B2 = 52428800 (P-1 stage 2)

B1 = 2097152 (P-1 stage 1)

B1 = 262144, B2 = 26214400 (P-1 stage 2)

B1 = 1048576 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

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

B1 = 524288 (P-1 stage 1)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 262144 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 16384 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

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