M289019 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	102.8096	71.6418%	12000000	500000000	0.3823	9.6738%	103.1919	74.3851%	2.7433%
PrimeNet	2⁴⁰	0.0000	52.5000%	3000	80000	0.0001	15.0772%	0.0001	59.6617%	7.1617%
GPU72	2⁴⁴	0.0000	56.8182%	5000	130000	0.0001	10.8902%	0.0001	61.5208%	4.7026%
Difference	+23	+102.8096	+14.8236%	+11995000	+499870000	+0.3822	-1.2164%	+103.1918	+12.8643%	+12.8643%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
289019	2603285043383033201851147543	28	91.072	4503657274059894335409 3 × 97 × 1495265623 × 10350325213	2015-12-21	1495265623	10350325213	3.046e+9	19.596	30.152

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-20T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.003	-	-	2.295%
2001-07-07T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.006	-	-	2.772%
2002-06-09T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.594%
2002-08-17T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.004	-	-	2.286%
2003-03-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.008	-	-	3.106%
2003-12-02T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.017	-	-	4.043%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	289019	289019		-		-	-	0.003	-	-	1.155%
2011-07-26T07:33:00	Jocelyn Larouche	Manual testing	1661088	1661088		-		-	-	0.016	-	-	2.476%
2012-08-09T23:58:00	markr	Manual testing	12000000	500000000		-		-	-	0.382	-	-	9.674%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-24T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-05-05T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.008	-	-
2022-03-07T06:11:45	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.008	-	-
2001-02-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.033	-	-
2002-03-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.066	-	-
2004-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.133	-	-
2009-01-05T07:22:00	Sturle Sunde	agrell.ifi	2⁵⁸	2⁵⁹		-	-	0.133	-	-
2009-01-26T01:38:00	Sturle Sunde	ghibu.ifi	2⁵⁹	2⁶⁰		-	-	0.266	-	-
2013-06-27T20:29:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.531	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	1.063	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.134 GHz-days
Estimated T-Level:	26.289

Digits	B1	Curves	Complete	FacMiss
20	11000	446 / 100	4.460	1.131%
25	50000	446 / 280	1.593	20.276%
30	250000	165 / 640	0.258	77.258%

New Calculation Method

Total ECM effort:	8.134 GHz-days
Estimated T-Level:	26.289

Digits	B1	Complete	FacMiss
20	11000	22.815	0.000%
25	50000	2.810	6.018%
30	250000	0.265	76.688%
35	1000000	0.020	98.001%
40	3000000	0.001	99.872%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	2.056
250000	25000000		155	5.671
250000	25000000	2603285043383033201851147543	3	0.110
250000	36750000		7	0.296

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-11T00:45:00	ANONYMOUS	Bayes	50000	5000000						1	0.007
2007-08-19T16:58:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-09-02T13:17:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-09-24T15:03:00	Team_Bundu	bundu4	50000	5000000						1	0.007
2007-11-27T06:50:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-27T09:25:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-27T13:33:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-27T14:50:00	Andi47	Core2Duo	50000	5000000						1	0.007
2007-11-27T16:01:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-30T14:57:00	Sturle Sunde	minister	50000	5000000						1	0.007
2008-01-03T12:14:00	Steve Scott	Abit	50000	5000000						1	0.007
2008-08-09T16:24:00	Sturle Sunde	v17	50000	5000000						3	0.022
2008-09-18T05:53:00	Sturle Sunde	v23	50000	5000000						3	0.022
2008-10-21T16:26:00	Sturle Sunde	v23	50000	5000000						3	0.022
2008-11-25T02:16:00	Sturle Sunde	v23	50000	5000000						3	0.022
2008-12-19T21:11:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-02-02T06:39:00	Sturle Sunde	v22	50000	5000000						3	0.022
2009-02-28T10:16:00	linded	kctz74z	50000	5000000						3	0.022
2009-03-18T17:00:00	Sturle Sunde	v17	50000	5000000						3	0.022
2009-04-11T11:01:00	James Hintz	08_060209	50000	5000000						3	0.022
2009-04-17T00:30:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-25T03:21:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-04-27T04:28:00	wuxiao	DNE_Black_Sheep	50000	5000000						3	0.022
2009-04-29T01:08:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-03T16:43:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-08T17:07:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-12T01:18:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-16T00:25:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-21T03:35:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-26T00:01:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-30T01:54:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-03T22:44:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-08T20:29:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-13T02:29:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-30T18:10:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-07-14T18:53:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-07-30T05:23:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-12T14:12:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-13T22:13:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-25T17:16:00	ANONYMOUS	v21	50000	5000000						3	0.022
2009-08-30T12:13:00	Tymoteusz_M	Siec	50000	5000000						3	0.022
2009-09-01T04:12:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-05T04:04:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-09T16:58:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-13T10:59:00	linded	23G4692-Lib1	50000	5000000						3	0.022
2009-09-16T14:48:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-20T16:56:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-23T20:22:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-28T01:35:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-02T08:50:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-09T05:26:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-15T15:41:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-10-18T16:52:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-22T16:05:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-25T22:11:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-28T19:05:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-31T15:00:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-04T01:28:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-11-07T02:44:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-10T16:31:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-14T04:29:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-18T23:51:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-23T00:03:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-26T17:38:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-30T03:53:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-03T17:19:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-07T00:10:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-10T22:48:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-14T18:35:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-19T02:26:00	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.022
2009-12-26T05:55:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-03T04:44:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-07T22:14:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-12T21:34:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-16T15:15:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-21T15:21:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-24T19:17:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-28T06:33:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-01T00:04:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-04T17:23:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-08T01:24:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-11T21:32:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-17T12:24:00	BOM	C2Q-2667	50000	5000000						3	0.022
2010-02-19T22:06:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-03-04T18:10:00	WileECoyote	MathOffice	50000	5000000						3	0.022
2010-03-10T00:14:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-03-16T02:18:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-11T14:35:00	James Hintz	NEW_OMFG	50000	5000000						6	0.044
2010-04-11T23:01:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-12T02:42:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-04-13T16:31:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-14T13:33:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-17T15:49:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-21T19:07:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-26T19:14:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-30T01:49:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-05-03T05:24:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-05-03T06:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-05-09T17:01:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-05-16T12:14:00	Beat Bucheli	I7	50000	5000000						3	0.022
2010-05-20T02:56:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-06-02T01:43:00	ANONYMOUS	v23	250000	25000000						3	0.110
2010-06-17T04:43:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-07-21T16:53:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-09-06T21:09:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-09-18T20:47:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-10-14T23:57:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-11-07T19:49:00	ANONYMOUS	v21	250000	25000000						3	0.110
2010-12-04T01:02:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-12-27T05:47:00	ANONYMOUS	v21	250000	25000000						3	0.110
2011-01-21T23:40:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-02-12T19:52:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-03-17T03:15:00	Sturle Sunde	001CC4F0E697	250000	25000000						3	0.110
2011-04-22T20:02:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-05-19T03:43:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-06-04T19:55:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-08-20T00:57:00	Sturle Sunde	PRE002264498208	250000	25000000						3	0.110
2011-09-21T00:37:00	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.110
2011-10-25T10:57:00	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.110
2012-01-12T19:40:00	Sturle Sunde	v23	250000	25000000						3	0.110
2012-01-29T05:13:00	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.110
2012-03-10T02:44:00	Sturle Sunde	v21	250000	25000000						3	0.110
2012-04-26T19:29:00	Sturle Sunde	v21	250000	25000000						3	0.110
2012-09-03T17:40:00	Sturle Sunde	v23	250000	25000000						3	0.110
2013-01-04T23:53:00	Ehran Pierce		250000	25000000						3	0.110
2013-10-14T02:16:00	ANONYMOUS		250000	25000000						3	0.110
2015-04-03T14:31:00	Lackó	Iroda_Laci_uj	250000	25000000						3	0.110
2015-11-09T08:48:18	Bruce	Desk7	250000	25000000						3	0.110
2015-11-17T09:40:28	Bruce	Desk7	250000	25000000						3	0.110
2015-11-24T02:29:47	Bruce	Desk7	250000	25000000						3	0.110
2015-11-29T12:11:29	Bruce	Desk7	250000	25000000						3	0.110
2015-12-04T18:42:58	Bruce	Desk7	250000	25000000						3	0.110
2015-12-09T21:05:50	Bruce	Desk8	250000	25000000						3	0.110
2015-12-21T03:30:20	Bruce	Desk8	250000	25000000	2603285043383033201851147543	91.072	3	2		3	0.110
2020-11-06T10:13:05	TJAOI	Manual testing	250000	25000000						42	1.537
2021-12-03T17:06:59	Luminescence	W-2295	250000	36750000						7	0.296
2022-02-18T18:22:32	Corey	tab	250000	25000000						7	0.256
2022-04-09T15:14:32	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256

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