M444463 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	2⁶⁷	66.8535	71.6418%	20000000	1000000000	1.2534	11.2932%	68.1069	74.8443%	3.2026%
PrimeNet	2⁴⁰	0.0000	52.5000%	4500	150000	0.0002	18.3298%	0.0002	61.2067%	8.7067%
GPU72	2⁴⁴	0.0000	56.8182%	8000	240000	0.0004	13.6295%	0.0004	62.7037%	5.8855%
Difference	+23	+66.8535	+14.8236%	+19992000	+999760000	+1.2530	-2.3363%	+68.1066	+12.1407%	+12.1407%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
444463	155271667183212329826697	24	77.039	174673332969462396 2² × 3² × 29 × 167311621618259	2016-07-24	29	167311621618259	128,430	155,674	290,756
444463	57544340692218118597051683551	29	95.539	64734680605830090015425 5² × 646873 × 4002929824298129	2020-07-04	646873	4002929824298129	2.511e+10	3,724,504	6,956,336

exponent	prime factors	composite factor	digits	bits*
444463	155271667183212329826697 57544340692218118597051683551	89350057162394739287304036915189429835765359155610 47	52	172.578

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2002-06-23T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.004	-	-	1.721%
2002-09-07T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.007	-	-	2.449%
2009-08-27T14:28:00	Carsten Kossendey	leela	444463	444463		-		-	-	0.008	-	-	1.525%
2010-09-06T14:16:00	Rob_Dee	twopc	500000	1000000		-		-	-	0.009	-	-	2.127%
2010-09-07T12:59:00	Rob_Dee	twopc	1000000	2000000		-		-	-	0.018	-	-	2.776%
2012-11-02T07:16:00	markr	Manual testing	20000000	1000000000		-		-	-	1.253	-	-	11.293%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2001-03-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.022	-	-
2002-02-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.043	-	-
2004-01-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.086	-	-
2016-02-23T16:28:09	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.259	-	-
2010-04-11T00:05:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.346	-	-
2015-07-16T06:04:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.691	-	-
2015-12-02T22:14:48	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	2.209	-	-
2015-12-02T22:14:48	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	4.417	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.853 GHz-days
Estimated T-Level:	26.359

Digits	B1	Curves	Complete	FacMiss
20	11000	458 / 100	4.580	1.002%
25	50000	458 / 280	1.636	19.424%
30	250000	174 / 640	0.272	76.179%

New Calculation Method

Total ECM effort:	14.853 GHz-days
Estimated T-Level:	26.359

Digits	B1	Complete	FacMiss
20	11000	23.661	0.000%
25	50000	2.924	5.370%
30	250000	0.277	75.786%
35	1000000	0.021	97.906%
40	3000000	0.001	99.865%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		284	3.655
250000	25000000		112	7.208
250000	25000000	155271667183212329826697	31	1.995
250000	25000000	57544340692218118597051683551	31	1.995

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-15T18:08:00	ANONYMOUS	Bayes	50000	5000000						1	0.013
2007-09-05T04:04:00	Team_Bundu	bundu1	50000	5000000						1	0.013
2007-11-07T14:47:00	Andi47	Core2Duo	50000	5000000						1	0.013
2008-01-13T20:50:00	Team_Bundu	bundu3	50000	5000000						3	0.039
2008-04-16T11:56:00	Sturle Sunde	v17	50000	5000000						3	0.039
2008-09-22T19:22:00	Sturle Sunde	v21	50000	5000000						3	0.039
2008-11-19T01:43:00	Ryan Schulz	lap_08	50000	5000000						3	0.039
2009-01-11T00:49:00	Sturle Sunde	v21	50000	5000000						3	0.039
2009-02-25T04:39:00	Sturle Sunde	v21	50000	5000000						3	0.039
2009-03-29T14:00:00	Sturle Sunde	v21	50000	5000000						3	0.039
2009-05-29T18:31:00	linded	KCPB8P0-NET214	50000	5000000						3	0.039
2009-07-04T05:41:00	Architects Cubed	m1_51	50000	5000000						3	0.039
2009-07-11T01:11:00	Architects Cubed	m1_70	50000	5000000						3	0.039
2009-08-05T00:58:00	linded	KCPB8P0-NET214	50000	5000000						3	0.039
2009-09-09T09:44:00	David Bessell	L301	50000	5000000						3	0.039
2009-09-30T20:32:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.039
2009-10-19T23:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-10-31T06:42:00	JimBa	ISAserv	50000	5000000						3	0.039
2009-11-13T22:34:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-11-29T21:40:00	David Bessell	L301	50000	5000000						3	0.039
2009-12-14T20:57:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-01T13:58:00	James Hintz	11_122109	50000	5000000						3	0.039
2010-01-16T17:15:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2010-01-27T03:47:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-02-08T12:52:00	James Hintz	11_122109	50000	5000000						3	0.039
2010-02-19T06:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-03-07T07:54:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-03-22T00:06:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-04-02T23:11:00	Sturle Sunde	PRE6S33KN9ZE3B5	50000	5000000						3	0.039
2010-04-15T16:20:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-04-28T01:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-05-11T22:12:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-05-25T19:21:00	James Hintz	17_051310	50000	5000000						3	0.039
2010-06-14T18:10:00	Sturle Sunde	PRE6S32KN9Z73PR	50000	5000000						3	0.039
2010-06-26T22:15:00	Sturle Sunde	0020ED5D97C1	50000	5000000						3	0.039
2010-07-18T21:29:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-08-07T05:32:00	josibo	Ziben	50000	5000000						3	0.039
2010-08-25T11:32:00	sannerud.com	Jim2010	50000	5000000						3	0.039
2010-09-07T17:45:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2010-09-20T13:57:00	Sturle Sunde	000461A92481	50000	5000000						3	0.039
2010-10-02T18:47:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-10-14T18:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-10-24T21:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-11-05T04:16:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.039
2010-11-15T09:54:00	sannerud.com	Jim2010	50000	5000000						3	0.039
2010-12-01T01:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-12-09T06:49:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-12-21T19:00:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2011-01-04T16:20:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-01-15T01:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-01-23T23:57:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-02-03T23:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-02-17T20:16:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2011-03-30T19:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-04-15T21:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-05-02T02:15:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-05-15T16:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-05-26T01:59:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.039
2011-06-06T15:08:00	Lukasz Wrobel	w-l	50000	5000000						3	0.039
2011-06-23T17:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-07-11T21:43:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-08-01T22:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-08-23T09:44:00	Lukasz Wrobel	w-l	50000	5000000						3	0.039
2011-10-04T03:06:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-11-19T03:03:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-12-29T02:09:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2012-02-05T23:08:00	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.039
2012-03-08T04:15:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2012-04-22T05:17:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2012-05-26T07:26:00	MadPoo	IntLAVH03	50000	5000000						3	0.039
2012-05-31T06:36:00	MadPoo	IntLAVH03	50000	5000000						3	0.039
2012-09-24T06:53:00	driveByUpgrades	rh	50000	5000000						3	0.039
2012-10-25T05:05:00	Carsten Kossendey	mother	50000	5000000						10	0.129
2013-02-22T22:51:00	HVer	dell	50000	5000000						3	0.039
2013-09-24T07:52:00	lopper	Surface_staples	50000	5000000						3	0.039
2013-11-30T21:45:00	Bruce	bfc-ws	50000	5000000						3	0.039
2014-02-25T00:16:00	dragon325	6005x64	50000	5000000						3	0.039
2014-03-26T02:56:00	Bruce	snowflake	50000	5000000						3	0.039
2014-03-26T23:46:00	Bruce	snowflake	50000	5000000						3	0.039
2014-05-17T00:50:00	dragon325	6005x64	50000	5000000						3	0.039
2014-07-13T16:17:00	Richard Otter	rjobio	50000	5000000						3	0.039
2015-01-22T21:45:00	thelegendarymudkip	i5-4670k	50000	5000000						40	0.515
2015-11-09T13:22:17	Richard Otter	rjobio	250000	25000000						3	0.193
2016-04-19T22:52:41	Bruce	wft	250000	25000000						3	0.193
2016-07-25T00:37:50	SRJ2877	Manual testing	250000	25000000	155271667183212329826697	77.039	31	2		31	1.995
2018-03-23T17:14:11	TJAOI	Manual testing	250000	25000000						6	0.386
2020-07-04T14:43:44	nordi	sweet16	250000	25000000	57544340692218118597051683551	95.539	31	2	3488879619845114	31	1.995
2020-08-07T11:03:31	TJAOI	Manual testing	250000	25000000						100	6.436

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