M394489 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	75.3226	71.6418%	10000000	200000000	0.2861	8.6061%	75.6086	74.0823%	2.4405%
PrimeNet	2⁴⁰	0.0000	52.5000%	4000	120000	0.0001	17.2719%	0.0001	60.7041%	8.2041%
GPU72	2⁴⁴	0.0000	56.8182%	7000	200000	0.0002	12.8234%	0.0003	62.3556%	5.5374%
Difference	+23	+75.3225	+14.8236%	+9993000	+199800000	+0.2858	-4.2173%	+75.6084	+11.7268%	+11.7268%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
394489	7073438769766952454278993	25	82.549	8965318132783109864 2³ × 13 × 42853 × 2011644039997	2015-10-30	42853	2011644039997	3,764,081	1,540.6	2,877.5
394489	177145721531325633110063778035111	33	107.127	224525552716711534554909995 5 × 11 × 1471 × 2775175239066949317779	2020-05-18	1471	2775175239066949317779	3.351e+11	2.125e+12	3.970e+12

exponent	prime factors	composite factor	digits	bits*
394489	7073438769766952454278993 177145721531325633110063778035111	12530294145780191270976684200902209896371747032377 43723223	58	189.675

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-06-23T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.004	-	-	2.408%
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.685%
2002-08-24T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.403%
2012-07-19T20:04:00	alpertron	Manual testing	10000000	200000000		-		-	-	0.286	-	-	8.606%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-12-01T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.006	-	-
2022-03-07T06:43:18	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.006	-	-
2001-03-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.024	-	-
2002-01-22T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.049	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.097	-	-
2009-01-05T16:57:00	Sturle Sunde	interavia.ifi	2⁵⁸	2⁵⁹		-	-	0.097	-	-
2009-01-11T15:41:00	Sturle Sunde	gowin.ifi	2⁵⁹	2⁶⁰		-	-	0.195	-	-
2011-02-27T23:11:00	monst	yuengling	2⁶⁰	2⁶¹		-	-	0.389	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.779	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.505 GHz-days
Estimated T-Level:	26.117

Digits	B1	Curves	Complete	FacMiss
20	11000	426 / 100	4.260	1.382%
25	50000	426 / 280	1.521	21.781%
30	250000	143 / 640	0.223	79.963%

New Calculation Method

Total ECM effort:	10.505 GHz-days
Estimated T-Level:	26.117

Digits	B1	Complete	FacMiss
20	11000	21.046	0.000%
25	50000	2.548	7.824%
30	250000	0.237	78.918%
35	1000000	0.018	98.236%
40	3000000	0.001	99.888%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		283	2.979
250000	25000000		136	7.158
250000	25000000	7073438769766952454278993	1	0.053
250000	25000000	177145721531325633110063778035111	6	0.316

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T03:54:00	ANONYMOUS	Bayes	50000	5000000						1	0.011
2007-08-31T00:17:00	Team_Bundu	bundu1	50000	5000000						1	0.011
2007-10-02T17:35:00	Chad Davis	Bayes	50000	5000000						1	0.011
2008-01-15T10:41:00	Team_Bundu	bundu1	50000	5000000						3	0.032
2008-03-10T22:30:00	Steve Scott	Celeron	50000	5000000						3	0.032
2008-09-09T07:15:00	Sturle Sunde	v1	50000	5000000						3	0.032
2008-10-17T05:11:00	Sturle Sunde	v22	50000	5000000						3	0.032
2008-12-01T02:21:00	Sturle Sunde	v22	50000	5000000						3	0.032
2009-01-20T21:33:00	Sturle Sunde	v22	50000	5000000						3	0.032
2009-02-28T15:59:00	Sturle Sunde	v21	50000	5000000						3	0.032
2009-03-28T03:10:00	Sturle Sunde	v22	50000	5000000						3	0.032
2009-05-20T20:40:00	JPH	diablo	50000	5000000						3	0.032
2009-07-06T12:43:00	Architects Cubed	m1_67	50000	5000000						3	0.032
2009-07-08T16:24:00	Architects Cubed	m1_03	50000	5000000						3	0.032
2009-07-26T11:20:00	JimBa	CIT3srvr	50000	5000000						3	0.032
2009-08-22T18:12:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2009-08-22T19:23:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2009-10-02T01:13:00	Sturle Sunde	TOR-ST-0027	50000	5000000						3	0.032
2009-10-19T21:48:00	David Bessell	L301	50000	5000000						3	0.032
2009-10-29T10:32:00	JimBa	ISAserv	50000	5000000						3	0.032
2009-11-11T06:35:00	David Bessell	G810	50000	5000000						3	0.032
2009-11-23T02:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-12-07T22:19:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-12-22T00:28:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-01-04T09:46:00	James Hintz	02_122109	50000	5000000						3	0.032
2010-01-18T11:24:00	James Hintz	11_122109	50000	5000000						3	0.032
2010-01-27T13:37:00	James Hintz	09_122109	50000	5000000						3	0.032
2010-02-05T21:51:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-15T22:29:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2010-03-02T19:54:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-15T16:06:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2010-03-26T15:16:00	Sturle Sunde	PRECZC44710WB	50000	5000000						3	0.032
2010-04-18T02:26:00	Sturle Sunde	TOR-ST-0027	50000	5000000						3	0.032
2010-04-24T14:28:00	James Hintz	05_122109	50000	5000000						3	0.032
2010-05-10T22:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-23T02:20:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-05T16:40:00	Sturle Sunde	PRECZC44710WB	50000	5000000						3	0.032
2010-06-19T04:27:00	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.032
2010-07-05T21:24:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-12T02:50:00	Sturle Sunde	PRE6S2CKN9ZD4EE	50000	5000000						3	0.032
2010-07-25T17:39:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-11T05:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-26T21:02:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-07T12:47:00	sannerud.com	Jim2010	50000	5000000						3	0.032
2010-09-20T14:16:00	James Hintz	06_122109	50000	5000000						3	0.032
2010-09-29T14:44:00	josibo	Ziben	50000	5000000						3	0.032
2010-10-10T23:24:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2010-10-19T17:59:00	josibo	Ziben	50000	5000000						3	0.032
2010-10-29T06:57:00	sannerud.com	Jim2010	50000	5000000						3	0.032
2010-11-07T18:44:00	Kamil_Górski	thefault	50000	5000000						3	0.032
2010-11-19T04:57:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-12-01T06:59:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2010-12-08T20:11:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-17T21:49:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-30T06:58:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-01-10T03:04:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.032
2011-01-18T18:51:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.032
2011-02-01T08:03:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.032
2011-02-05T20:12:00	Sturle Sunde	0020ED7F6D0F	50000	5000000						3	0.032
2011-02-13T04:12:00	Carsten Kossendey	mother	50000	5000000						10	0.105
2011-03-17T19:10:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-03-24T19:11:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-04-06T10:06:00	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-04-20T04:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-07T04:38:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-05-16T01:41:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-25T16:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-06-04T16:17:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-06-17T05:22:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-07-01T16:49:00	Carsten Kossendey	mother	50000	5000000						3	0.032
2011-07-21T03:35:00	Netanias	NCS2009Fermat	50000	5000000						3	0.032
2011-08-08T05:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-08-30T20:00:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-10-07T11:43:00	Sturle Sunde	0020ED4DAA74	50000	5000000						3	0.032
2011-11-17T21:39:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-12-15T18:12:00	ANONYMOUS	HYDRA	50000	5000000						3	0.032
2012-01-26T00:38:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2012-03-19T02:28:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2012-04-27T16:19:00	Sturle Sunde	TOR-ST-0035	50000	5000000						3	0.032
2012-05-13T19:14:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2012-05-27T11:10:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-05-31T20:41:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-09-22T20:40:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2013-02-06T09:24:00	Sorin Mischie	work	50000	5000000						3	0.032
2013-02-06T14:21:00	Le Comte	N200	50000	5000000						30	0.316
2015-10-28T14:04:36	Bruce	Desk7	250000	25000000						3	0.158
2015-10-29T08:16:15	Bruce	Desk7	250000	25000000						3	0.158
2015-10-30T04:46:21	Bruce	Desk7	250000	25000000						3	0.158
2015-10-30T18:32:45	Bruce	Desk7	250000	25000000	7073438769766952454278993	82.549	1	2		1	0.053
2018-11-30T11:49:56	TJAOI	Manual testing	250000	25000000						33	1.737
2020-05-18T10:33:17	TJAOI	Manual testing	250000	25000000	177145721531325633110063778035111	107.127	6	2		6	0.316
2020-05-18T10:33:17	TJAOI	Manual testing	250000	25000000						94	4.947

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