M14 243 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,086.2120	79.1045%	1000000000000	1401075893663576130	26,380,250.7062	45.7937%	26,382,336.9182	88.6733%
Target	2⁴⁴	0.0002	68.1818%	500	80000	0.0000	1.4079%	0.0002	68.6298%
Difference	+23	+2,086.2118	+10.9227%	+999999999500	+1401075893663496130	+26,380,250.7062	+44.3858%	+26,382,336.9180	+20.0435%

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	-	-	1.730%
2001-07-17	Alex Kruppa	v4_computers	1000000	100000000		-		-	-	0.002	-	-	4.357%
2001-09-30	ANONYMOUS	v4_computers	43000000	4290000000		-		-	-	0.095	-	-	10.714%
2002-04-28	ANONYMOUS	v4_computers	16384	1638400		-		-	-	3.62019e-5	-	-	0.556%
2002-06-09	ANONYMOUS	v4_computers	32768	3276800		-		-	-	7.24038e-5	-	-	0.911%
2002-07-14	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.000	-	-	1.383%
2003-02-02	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.000	-	-	1.976%
2003-03-27	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.001	-	-	2.687%
2003-04-03	ANONYMOUS	v4_computers	524288	52428800		-		-	-	0.001	-	-	3.505%
2003-04-27	ANONYMOUS	v4_computers	1048576	104857600		-		-	-	0.002	-	-	4.423%
2003-05-19	ANONYMOUS	v4_computers	2097152	209715200		-		-	-	0.005	-	-	5.432%
2003-07-06	ANONYMOUS	v4_computers	4194304	419430400		-		-	-	0.009	-	-	6.527%
2003-09-29	ANONYMOUS	v4_computers	8388608	838860800		-		-	-	0.019	-	-	7.702%
2003-09-29	ANONYMOUS	v4_computers	16777216	1677721600		-		-	-	0.037	-	-	8.947%
2011-05-18	Jocelyn Larouche	Manual testing	400000000	400000000		-		-	-	0.138	-	-	7.850%
2012-10-12	Jocelyn Larouche	Manual testing	612375670	612375670		-		-	-	0.212	-	-	8.502%
2013-03-13	bcp19	Toshiba-740Q	10000000000	100000000000		-		-	-	5.150	-	-	17.453%
2018-05-17	James Hintz	3_1_2018	23946356892	1795976766900	12	-		-	-	41.64	-	-	22.749%
2022-03-23	-Anonymous-	T5810	100000000000	100013732677278420		-		-	-	1,883,125	-	-	40.495%
2023-01-08	-Anonymous-	T5810	1000000000000	1401075893663576130		-		-	-	26,380,251	-	-	45.794%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-05-10	ATH	5960X	1000000000	241000000000	2	7			-	-	4.954

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-09-14	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.042	-	-
2000-03-01	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.084	-	-
2000-09-15	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.674	-	-
2002-08-31	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	1.348	-	-
2016-02-23	LaurV	Manual testing	2⁵⁷	2⁵⁸		-	-	1.348	-	-
2010-07-04	George Woltman	Manual testing	2⁵⁸	2⁵⁹		-	-	2.696	-	-
2010-07-11	George Woltman	Manual testing	2⁵⁹	2⁶⁰		-	-	5.392	-	-
2012-12-25	bcp19	Manual testing	2⁶⁰	2⁶¹		-	-	10.78	-	-
2015-08-17	snme2pm1	G1	2⁶¹	2⁶²		-	-	21.57	-	-
2016-07-18	Sid & Andy	Woody	2⁶²	2⁶³		-	-	68.92	-	-
2018-08-09	Anton Repko	Manual testing	2⁶³	2⁶⁴		-	-	137.8	-	-
2019-01-07	Anton Repko	Manual testing	2⁶⁴	2⁶⁵		-	-	262.3	-	-
2021-11-13	Ruslan Borisov	Manual testing	2⁶⁵	2⁶⁶		-	-	524.7	-	-

ECM factoring results:

Total ECM effort:	376,639.492 GHz-days
Estimated T-Level:	51.121

Digits	B1	Complete	FacMiss
20	11000	5,307.019	0.000%
25	50000	2,101.384	0.000%
30	250000	663.928	0.000%
35	1000000	172.481	0.000%
40	3000000	38.621	0.000%
45	11000000	7.650	0.048%
50	44000000	1.370	25.408%
55	110000000	0.224	79.915%
60	260000000	0.034	96.669%
65	800000000	0.005	99.540%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	280	0.070
1000000	100000000	1,581	7.862
3000000	300000000	250	3.730
11000000	1100000000	7,991	437.1
43000000	240490660426	2,596	10,473
44000000	4400000000	1,311	286.9
110000000	9013725115395	2,500	365,431

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-05-13	Max Dettweiler	Core2Duo	1000000	100000000						1	0.005
2008-12-22	Jayson King	atlas	3000000	300000000						150	2.238
2009-04-25	Carsten Kossendey	durandal	11000000	1100000000						1	0.055
2009-05-10	unconnected	Q6600-turk	3000000	300000000						100	1.492
2009-05-20	unconnected	X3210-gr	44000000	4400000000						50	10.94
2009-09-28	James Hintz	08_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	01_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	04_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	03_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	05_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	07_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	12_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	02_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	11_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	06_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	10_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	19_091909	11000000	1100000000						3	0.164
2009-09-28	James Hintz	09_091909	11000000	1100000000						3	0.164
2009-09-29	James Hintz	20_091909	11000000	1100000000						3	0.164
2009-10-01	James Hintz	17_091909	11000000	1100000000						3	0.164
2009-10-03	James Hintz	13_091909	11000000	1100000000						3	0.164
2009-10-03	James Hintz	18_091909	11000000	1100000000						3	0.164
2009-10-03	James Hintz	15_091909	11000000	1100000000						3	0.164
2009-10-03	James Hintz	16_091909	11000000	1100000000						3	0.164
2009-11-20	Carsten Kossendey	Manual testing	11000000	1100000000						10	0.547
2010-03-23	Bud	annan	11000000	1100000000						10	0.547
2013-01-12	Sergiosi	Manual testing	11000000	1100000000						200	10.94
2013-01-20	Sergiosi	Manual testing	11000000	1100000000						250	13.68
2013-02-01	Sergiosi	Manual testing	11000000	1100000000						300	16.41
2014-07-20	Carsten Kossendey	mother	11000000	1100000000						183	10.01
2014-08-07	Carsten Kossendey	mother	11000000	1100000000						183	10.01
2014-08-08	Carsten Kossendey	mother	11000000	1100000000						183	10.01
2014-11-20	Andres Aitsen	S761	11000000	1100000000						3	0.164
2014-12-23	Carsten Kossendey	leela	11000000	1100000000						183	10.01
2014-12-25	Carsten Kossendey	leela	11000000	1100000000						183	10.01
2014-12-26	Carsten Kossendey	leela	11000000	1100000000						183	10.01
2014-12-27	Carsten Kossendey	leela	11000000	1100000000						183	10.01
2015-03-10	Carsten Kossendey	mother	11000000	1100000000						467	25.55
2015-03-13	Carsten Kossendey	mother	11000000	1100000000						467	25.55
2015-03-15	Carsten Kossendey	mother	11000000	1100000000						467	25.55
2015-03-20	Carsten Kossendey	mother	11000000	1100000000						467	25.55
2015-08-09	Carsten Kossendey	mother	11000000	1100000000						800	43.76
2015-08-10	Carsten Kossendey	mother	11000000	1100000000						800	43.76
2015-09-16	Carsten Kossendey	mother	11000000	1100000000						800	43.76
2015-11-19	Carsten Kossendey	leela	11000000	1100000000						1611	88.12
2015-12-08	ATH	xps	44000000	4400000000						1	0.219
2016-12-25	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-01-01	volki	Manual testing	44000000	4400000000						150	32.82
2017-03-06	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-04-22	James Hintz	11_04_2016	44000000	4400000000						10	2.188
2017-04-26	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-06-12	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-07-13	Ismo Laitela	6600K	44000000	4400000000						100	21.88
2017-07-28	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-08-15	Sid & Andy	Bullseye	44000000	4400000000						100	21.88
2017-08-21	Sid & Andy	Rocky	44000000	4400000000						100	21.88
2017-09-06	Sid & Andy	Mr_Mike	44000000	4400000000						100	21.88
2017-09-18	Sid & Andy	Rocky	44000000	4400000000						100	21.88
2017-09-19	Sid & Andy	Bullseye	44000000	4400000000						100	21.88
2019-09-02	_p95holder_	TFL16_PRPt11-E_b	50000	5000000						280	0.070
2019-11-19	Ryan Propper	Manual testing	43000000	240490660426						2596	10,473
2021-05-14	_p95holder_	TFL16_PRPt11-E_b	1000000	100000000						1580	7.857
2023-05-25	-Anonymous-	2650v4	110000000	9013725115395						2500	365,431

date	userid	compid	res64	spent (GHz-days)
1997-01-01	George Woltman		79F442938793EA6F	3.39458e-6
2015-04-11	MadPoo	Manual testing	79F442938793EA6F	3.39458e-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 = 1401075893663576130 (P-1 stage 2)

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

B1 = 1000000000000 (P-1 stage 1)

B1 = 23946356892, B2 = 1795976766900 (P-1 stage 2)

B1 = 100000000000 (P-1 stage 1)

B1 = 23946356892 (P-1 stage 1)

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

B1 = 10000000000 (P-1 stage 1)

B1 = 612375670 (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