M14 867 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,998.6492	79.1045%	1000000000000	1401075893663576130	26,380,250.7062	45.8478%	26,382,249.3554	88.6846%
Target	2⁴⁴	0.0002	68.1818%	500	80000	0.0000	1.4263%	0.0002	68.6356%
Difference	+23	+1,998.6490	+10.9227%	+999999999500	+1401075893663496130	+26,380,250.7062	+44.4215%	+26,382,249.3552	+20.0490%

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	-	-	1.742%
2001-07-17	Alex Kruppa	v4_computers	1000000	100000000		-		-	-	0.002	-	-	4.379%
2001-10-06	ANONYMOUS	v4_computers	43000000	4290000000		-		-	-	0.095	-	-	10.750%
2002-04-28	ANONYMOUS	v4_computers	16384	1638400		-		-	-	3.62019e-5	-	-	0.561%
2002-06-09	ANONYMOUS	v4_computers	32768	3276800		-		-	-	7.24038e-5	-	-	0.918%
2002-07-14	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.000	-	-	1.393%
2003-02-02	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.000	-	-	1.989%
2003-03-27	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.001	-	-	2.703%
2003-04-03	ANONYMOUS	v4_computers	524288	52428800		-		-	-	0.001	-	-	3.524%
2003-04-27	ANONYMOUS	v4_computers	1048576	104857600		-		-	-	0.002	-	-	4.445%
2003-05-19	ANONYMOUS	v4_computers	2097152	209715200		-		-	-	0.005	-	-	5.457%
2003-07-06	ANONYMOUS	v4_computers	4194304	419430400		-		-	-	0.009	-	-	6.556%
2003-09-29	ANONYMOUS	v4_computers	8388608	838860800		-		-	-	0.019	-	-	7.734%
2003-09-29	ANONYMOUS	v4_computers	16777216	1677721600		-		-	-	0.037	-	-	8.981%
2011-05-18	Jocelyn Larouche	Manual testing	400000000	400000000		-		-	-	0.138	-	-	7.877%
2012-10-12	Jocelyn Larouche	Manual testing	576696497	576696497		-		-	-	0.199	-	-	8.438%
2013-03-21	Le Comte	Manual testing	1500000000	150000000000		-		-	-	3.314	-	-	17.768%
2013-03-22	Le Comte	S761	2000000000	200000000000		-		-	-	4.419	-	-	18.345%
2013-04-02	bcp19	Toshiba-740Q	10000000000	100000000000		-		-	-	5.150	-	-	17.493%
2018-06-25	James Hintz	3_1_2018	23390249707	1754268728025	12	-		-	-	40.67	-	-	22.748%
2022-03-26	-Anonymous-	T5810	100000000000	100013732677278420		-		-	-	1,883,125	-	-	40.549%
2023-04-14	-Anonymous-	T5810	1000000000000	1401075893663576130		-		-	-	26,380,251	-	-	45.848%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-05-11	ATH	5960X	1000000000	241000000000	2	7			-	-	4.954

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-09-14	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.040	-	-
2000-03-01	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.081	-	-
2000-09-15	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.646	-	-
2002-09-07	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	1.291	-	-
2016-02-23	LaurV	Manual testing	2⁵⁷	2⁵⁸		-	-	1.291	-	-
2010-07-04	George Woltman	Manual testing	2⁵⁸	2⁵⁹		-	-	2.583	-	-
2010-07-04	George Woltman	Manual testing	2⁵⁹	2⁶⁰		-	-	5.165	-	-
2012-12-25	bcp19	Manual testing	2⁶⁰	2⁶¹		-	-	10.33	-	-
2015-08-02	snme2pm1	G1	2⁶¹	2⁶²		-	-	20.66	-	-
2016-07-31	Sid & Andy	Woody	2⁶²	2⁶³		-	-	66.03	-	-
2018-08-28	Anton Repko	Manual testing	2⁶³	2⁶⁴		-	-	132.1	-	-
2018-12-24	Anton Repko	Manual testing	2⁶⁴	2⁶⁵		-	-	251.3	-	-
2021-11-21	Ruslan Borisov	Manual testing	2⁶⁵	2⁶⁶		-	-	502.6	-	-

ECM factoring results:

Total ECM effort:	10,709.171 GHz-days
Estimated T-Level:	47.540

Digits	B1	Complete	FacMiss
20	11000	4,018.053	0.000%
25	50000	1,446.730	0.000%
30	250000	401.814	0.000%
35	1000000	93.319	0.000%
40	3000000	18.482	0.000%
45	11000000	3.239	3.922%
50	44000000	0.508	60.173%
55	110000000	0.072	93.007%
60	260000000	0.010	99.050%
65	800000000	0.001	99.897%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	280	0.070
1000000	100000000	2,153	10.71
3000000	300000000	111	1.656
11000000	1100000000	7,997	437.4
43000000	240490660426	2,480	10,005
44000000	4400000000	1,161	254.0

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-29	GrunwalderGIMP	GWPrime02	1000000	100000000						563	2.800
2009-02-15	Jayson King	atlas	1000000	100000000						10	0.050
2009-04-24	Carsten Kossendey	durandal	3000000	300000000						1	0.015
2009-05-15	unconnected	X3210-gr	44000000	4400000000						50	10.94
2009-05-17	unconnected	Q6600-turk	3000000	300000000						100	1.492
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
2009-09-29	James Hintz	10_091909	11000000	1100000000						3	0.164
2009-09-29	James Hintz	19_091909	11000000	1100000000						3	0.164
2009-09-29	James Hintz	09_091909	11000000	1100000000						3	0.164
2009-09-30	James Hintz	20_091909	11000000	1100000000						3	0.164
2009-10-03	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	3000000	300000000						10	0.149
2010-03-25	Bud	annan	11000000	1100000000						10	0.547
2013-01-02	Sergiosi	Manual testing	11000000	1100000000						200	10.94
2014-08-23	Carsten Kossendey	mother	11000000	1100000000						183	10.01
2014-08-24	Carsten Kossendey	mother	11000000	1100000000						183	10.01
2014-08-27	Carsten Kossendey	mother	11000000	1100000000						183	10.01
2015-01-13	Carsten Kossendey	leela	11000000	1100000000						183	10.01
2015-01-15	Carsten Kossendey	leela	11000000	1100000000						183	10.01
2015-01-15	Carsten Kossendey	leela	11000000	1100000000						183	10.01
2015-01-16	Carsten Kossendey	leela	11000000	1100000000						183	10.01
2015-04-30	Carsten Kossendey	mother	11000000	1100000000						710	38.84
2015-05-01	Carsten Kossendey	mother	11000000	1100000000						710	38.84
2015-05-04	Carsten Kossendey	mother	11000000	1100000000						709	38.78
2015-05-09	Carsten Kossendey	mother	11000000	1100000000						309	16.90
2015-11-15	Carsten Kossendey	tycho	11000000	1100000000						900	49.23
2015-11-21	Carsten Kossendey	tycho	11000000	1100000000						700	38.29
2015-11-23	Carsten Kossendey	leela	11000000	1100000000						1611	88.12
2015-11-30	Carsten Kossendey	tycho	11000000	1100000000						800	43.76
2015-12-08	ATH	xps	44000000	4400000000						1	0.219
2017-01-26	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-02-07	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-03-27	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-04-23	James Hintz	11_04_2016	44000000	4400000000						10	2.188
2017-05-14	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-07-02	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-07-16	Ismo Laitela	6600K	44000000	4400000000						100	21.88
2017-08-06	Sid & Andy	Mr_Mike	44000000	4400000000						100	21.88
2017-08-15	Sid & Andy	Bullseye	44000000	4400000000						100	21.88
2017-08-19	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-08-25	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	21.88
2017-09-01	Sid & Andy	Bullseye	44000000	4400000000						100	21.88
2019-09-03	_p95holder_	TFL16_PRPt11-E_b	50000	5000000						280	0.070
2019-11-19	Ryan Propper	Manual testing	43000000	240490660426						2480	10,005
2021-05-19	_p95holder_	TFL16_PRPt11-E_b	1000000	100000000						1580	7.857

date	userid	compid	res64	spent (GHz-days)
1997-01-01	George Woltman		4DC3F73474687DC3	3.54330e-6
2015-04-11	MadPoo	Manual testing	4DC3F73474687DC3	3.54330e-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 = 23390249707, B2 = 1754268728025 (P-1 stage 2)

B1 = 100000000000 (P-1 stage 1)

B1 = 23390249707 (P-1 stage 1)

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

B1 = 2000000000, B2 = 200000000000 (P-1 stage 2)

B1 = 10000000000 (P-1 stage 1)

B1 = 1500000000, B2 = 150000000000 (P-1 stage 2)

B1 = 2000000000 (P-1 stage 1)

B1 = 1500000000 (P-1 stage 1)

B1 = 576696497 (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)

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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