M864011 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	68.9862	70.5882%	15000000	1101081888270	2,109.8963	20.1619%	2,178.8826	76.5182%	5.9300%
Target	2⁴⁴	0.0000	54.5455%	14000	550000	0.0015	17.6003%	0.0015	62.5456%	8.0002%
Difference	+24	+68.9862	+16.0428%	+14986000	+1101081338270	+2,109.8948	+2.5615%	+2,178.8811	+13.9726%	-2.0702%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
864011	14255549732847674846159125765780951183553	41	133.389	8249634398663717734009824970851616 2⁵ × 137 × 239 × 100417 × 307627 × 1416937 × 179880473477	2022-12-07	1416937	179880473477	2.145e+11	344.65	643.63

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-08T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.167%
2002-02-17T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.366%
2002-04-14T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.674%
2002-05-25T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.004	-	-	1.112%
2002-06-29T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.007	-	-	1.690%
2002-12-16T00:00:00	ANONYMOUS	v4_computers	65537	6553700		-		-	-	0.015	-	-	2.406%
2003-08-25T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.029	-	-	3.248%
2009-08-30T19:54:00	Carsten Kossendey	leela	864011	864011		-		-	-	0.030	-	-	2.002%
2012-03-29T23:12:00	Jocelyn Larouche	Manual testing	1204648	1204648		-		-	-	0.042	-	-	2.285%
2012-08-29T21:06:00	Jocelyn Larouche	Manual testing	1728022	1728022		-		-	-	0.061	-	-	2.617%
2012-10-19T21:36:00	Jocelyn Larouche	Manual testing	1954038	1954038		-		-	-	0.069	-	-	2.735%
2013-11-08T08:36:00	David Campeau	i5-2500k	2030000	73080000		-		-	-	0.207	-	-	6.502%
2015-12-02T15:43:01	Sid & Andy	Bullseye	8640110	259203300	12	-		-	-	0.784	-	-	8.840%
2022-11-25T10:33:16	Jocelyn Larouche	Manual testing	2031000	4637653020		-		-	-	8.952	-	-	11.086%
2022-12-07T07:56:24	lycorn	colab_A_1	15000000	1101081888270			14255549732847674846159125765780951183553	41	133.389	2,110	0.042	4,220	20.162%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.006	-	-
2000-12-31T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.011	-	-
2001-12-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.022	-	-
2003-09-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.044	-	-
2022-03-07T09:21:38	LordJulius	Manual testing	2⁵⁸	2⁵⁹		-	-	0.044	-	-
2004-04-29T00:00:00	Sturle Sunde	v4_computers	2¹	2⁶⁰		-	-	0.178	-	-
2010-05-20T15:40:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.178	-	-
2015-02-06T11:10:00	TJAOI	Manual testing	2⁶¹	2⁶²		-	-	0.356	-	-
2015-10-06T15:21:30	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.136	-	-
2015-10-06T15:21:30	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	2.272	-	-
2016-02-15T23:42:34	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	4.324	-	-
2018-05-28T04:27:00	Smok_bmv	Manual testing	2⁶⁵	2⁶⁶		-	-	8.649	-	-
2018-05-18T04:21:49	BloodERazor	Manual testing	2⁶⁵	2⁶⁶		-	-	8.649	-	-
2018-05-28T04:27:00	Smok_bmv	Manual testing	2⁶⁶	2⁶⁷		-	-	17.30	-	-
2018-05-28T04:27:00	Smok_bmv	Manual testing	2⁶⁷	2⁶⁸		-	-	34.60	-	-

ECM factoring results:

Total ECM effort:	14.428 GHz-days
Estimated T-Level:	25.672

Digits	B1	Complete	FacMiss
20	11000	15.486	0.000%
25	50000	1.677	18.697%
30	250000	0.134	87.421%
35	1000000	0.009	99.122%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		301	8.416
250000	25000000		43	6.012

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-06T00:12:00	Team_Bundu	bundu1	50000	5000000						1	0.028
2008-01-25T12:56:00	Team_Bundu	bundu1	50000	5000000						3	0.084
2008-10-16T04:58:00	Sturle Sunde	v23	50000	5000000						3	0.084
2009-02-04T16:59:00	Sturle Sunde	v21	50000	5000000						3	0.084
2009-05-02T14:10:00	bladerunner	Nebuchadnezzar	50000	5000000						3	0.084
2009-08-18T06:54:00	maxybo	CB418E216	50000	5000000						3	0.084
2009-10-18T05:50:00	James Hintz	chris3	50000	5000000						3	0.084
2010-01-22T20:08:00	maxybo	CB418E216	50000	5000000						3	0.084
2010-06-15T01:31:00	Geoff Wing	GW1	50000	5000000						3	0.084
2010-12-25T13:50:00	Eric Christenson	HP_DC7900_SFF_PC	50000	5000000						3	0.084
2011-03-21T09:51:00	Eric Christenson	HP_DC7900_SFF_PC	50000	5000000						3	0.084
2011-11-19T21:26:00	OS1	Tina	50000	5000000						3	0.084
2012-05-29T11:01:00	Pool Party	sts	50000	5000000						3	0.084
2012-09-05T01:04:00	alpertron	core2quad	50000	5000000						3	0.084
2013-01-28T19:35:00	gucs	echo3	50000	5000000						3	0.084
2013-04-14T08:02:00	gucs	echo3	50000	5000000						3	0.084
2013-06-24T10:34:00	gucs	echo3	50000	5000000						3	0.084
2013-09-09T09:14:00	gucs	echo3	50000	5000000						3	0.084
2013-11-26T01:48:00	gucs	echo3	50000	5000000						3	0.084
2014-02-09T14:18:00	Ryan Schulz	wenn-old	50000	5000000						15	0.419
2015-02-22T09:08:00	Bruce	desk16	50000	5000000						3	0.084
2015-02-26T09:31:00	Bruce	desk16	50000	5000000						3	0.084
2015-05-18T14:14:00	guru	h1	50000	5000000						3	0.084
2016-01-08T03:34:13	westicles	Manual testing	50000	5000000						201	5.620
2016-01-08T13:41:42	TJAOI	Manual testing	50000	5000000						21	0.587
2019-08-11T08:51:54	OS1	Tina	250000	25000000						3	0.419
2019-12-30T12:48:26	TJAOI	Manual testing	250000	25000000						40	5.592

date	userid	compid	res64	spent (GHz-days)
2002-01-08T00:00:00	ANONYMOUS	v4_computers	1C3FA94BBC248212	0.021
2015-04-11T21:29:00	MadPoo	Manual testing	1C3FA94BBC248212	0.021

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 = 15000000, B2 = 1101081888270 (P-1 stage 2)

B1 = 2031000, B2 = 4637653020 (P-1 stage 2)

B1 = 8640110, B2 = 259203300 (P-1 stage 2)

B1 = 15000000 (P-1 stage 1)

B1 = 8640110 (P-1 stage 1)

B1 = 2030000, B2 = 73080000 (P-1 stage 2)

B1 = 2031000 (P-1 stage 1)

B1 = 2030000 (P-1 stage 1)

B1 = 1954038 (P-1 stage 1)

B1 = 1728022 (P-1 stage 1)

B1 = 1204648 (P-1 stage 1)

B1 = 864011 (P-1 stage 1)

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

B1 = 65537, B2 = 6553700 (P-1 stage 2)

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

B1 = 131072 (P-1 stage 1)

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

B1 = 65537 (P-1 stage 1)

B1 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 32768 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

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10¹⁰

10¹¹

10¹²

10¹³

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