M282809 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	105.0671	71.6418%	5300000	201400000	0.1584	8.0198%	105.2255	73.9161%	2.2743%
PrimeNet	2⁴⁰	0.0000	52.5000%	3000	80000	0.0001	15.0325%	0.0001	59.6404%	7.1404%
GPU72	2⁴⁴	0.0000	56.8182%	5000	130000	0.0001	10.8552%	0.0001	61.5057%	4.6875%
Difference	+23	+105.0671	+14.8236%	+5295000	+201270000	+0.1583	-2.8353%	+105.2253	+12.4104%	+12.4104%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
282809	86987793386288202324852001106017	32	106.101	153792477230724981038177712 2⁴ × 3² × 1068003314102256812765123	2015-12-27	16	1068003314102256812765123	6.167e+11	5.765e+14	1.077e+15

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-04-29T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.003	-	-	2.288%
2001-07-03T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.006	-	-	2.763%
2002-06-09T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.588%
2002-08-17T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.004	-	-	2.278%
2003-03-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.008	-	-	3.097%
2003-11-28T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.017	-	-	4.032%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	282809	282809		-		-	-	0.003	-	-	1.138%
2011-02-18T00:28:00	Jocelyn Larouche	Manual testing	2000000	2000000		-		-	-	0.020	-	-	2.643%
2012-02-26T15:18:00	Jocelyn Larouche	Manual testing	2135668	2135668		-		-	-	0.021	-	-	2.707%
2012-05-15T07:17:00	Jocelyn Larouche	Manual testing	5125604	5125604		-		-	-	0.051	-	-	3.625%
2013-11-02T06:50:00	David Campeau	i5-2500k	5300000	201400000		-		-	-	0.158	-	-	8.020%

	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	-	-
2022-03-07T06:11:35	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.008	-	-
2001-02-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.034	-	-
2002-03-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.068	-	-
2004-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.136	-	-
2009-01-01T18:32:00	Sturle Sunde	scarpia.ifi	2⁵⁸	2⁵⁹		-	-	0.136	-	-
2009-01-27T00:28:00	Sturle Sunde	goldiek.ifi	2⁵⁹	2⁶⁰		-	-	0.272	-	-
2013-06-24T20:14:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.543	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	1.086	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.934 GHz-days
Estimated T-Level:	26.453

Digits	B1	Curves	Complete	FacMiss
20	11000	466 / 100	4.660	0.925%
25	50000	466 / 280	1.664	18.876%
30	250000	186 / 640	0.291	74.763%

New Calculation Method

Total ECM effort:	8.934 GHz-days
Estimated T-Level:	26.453

Digits	B1	Complete	FacMiss
20	11000	24.532	0.000%
25	50000	3.068	4.650%
30	250000	0.293	74.569%
35	1000000	0.023	97.772%
40	3000000	0.001	99.856%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	2.047
250000	25000000		169	6.179
250000	25000000	86987793386288202324852001106017	3	0.110
250000	36750000		7	0.296
250000	38500000		7	0.302

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-10T21:37:00	ANONYMOUS	Bayes	50000	5000000						1	0.007
2007-08-19T03:38:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-09-01T15:57:00	Team_Bundu	bundu1	50000	5000000						1	0.007
2007-09-22T01:02:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-11-11T03:49:00	Andi47	Core2Duo	50000	5000000						1	0.007
2008-01-10T14:51:00	Steve Scott	Gigabyte-2	50000	5000000						3	0.022
2008-01-26T04:46:00	Steve Scott	Abit-2	50000	5000000						3	0.022
2008-04-14T21:22:00	arnaud	chamot24	50000	5000000						3	0.022
2008-09-11T16:23:00	Sturle Sunde	v23	50000	5000000						3	0.022
2008-10-03T05:11:00	Sturle Sunde	v22	50000	5000000						3	0.022
2008-11-11T02:42:00	Sturle Sunde	v22	50000	5000000						3	0.022
2008-12-05T06:16:00	Sturle Sunde	v17	50000	5000000						3	0.022
2009-01-14T04:08:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-02-16T15:54:00	Dalos Lee	dalosdesk	50000	5000000						3	0.022
2009-03-07T14:35:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-03-26T17:54:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-04-13T14:26:00	linded	kctz73a	50000	5000000						3	0.022
2009-04-18T14:28:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-22T03:28:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-26T15:28:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-30T01:19:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-05T03:02:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-09T03:58:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-12T22:30:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-05-17T05:29:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-22T03:20:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-27T01:53:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-30T21:03:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-04T04:47:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-09T02:53:00	ANONYMOUS	v21	50000	5000000						3	0.022
2009-06-13T04:29:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-19T07:33:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-06-30T00:46:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-07-14T07:08:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-07-29T16:11:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-12T18:06:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-23T19:20:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-28T00:20:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-31T19:37:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-08T16:21:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-09T16:14:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-11T23:43:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-15T15:54:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-19T00:00:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-23T00:46:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-26T17:32:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-01T07:41:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-10-06T22:26:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-10-13T05:51:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-16T21:31:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-21T02:23:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-24T03:15:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-27T19:00:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-30T00:22:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-02T06:01:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-05T17:08:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-08T16:50:00	ANONYMOUS	v21	50000	5000000						3	0.022
2009-11-12T00:34:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-16T01:29:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-20T02:25:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-24T15:57:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-27T15:48:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-01T02:27:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-12-04T03:42:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-08T03:53:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-11T19:33:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-15T21:00:00	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.022
2009-12-19T19:24:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-27T06:52:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-01-04T04:52:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-08T16:54:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-13T01:57:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-16T19:39:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-21T14:00:00	BOM	C2Q-2667	50000	5000000						3	0.022
2010-01-25T01:44:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-28T01:41:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-31T20:52:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-04T16:16:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-02-07T20:25:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-11T15:31:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-18T16:31:00	WileECoyote	MathOffice	50000	5000000						3	0.022
2010-02-19T02:59:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-28T06:52:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-03-09T09:38:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-03-14T19:32:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-13T23:43:00	James Hintz	NEW_OMFG	50000	5000000						5	0.037
2010-04-14T00:25:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-14T01:02:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-14T07:41:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-14T13:35:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-14T15:20:00	BOM	C2Q-2667	50000	5000000						3	0.022
2010-04-18T22:26:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-23T04:40:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-27T16:50:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-05-01T02:18:00	ANONYMOUS	v21	50000	5000000						3	0.022
2010-05-03T17:40:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-05-06T14:47:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-05-23T02:24:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-06-04T18:48:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-06-21T04:56:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-07-29T15:45:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-09-18T17:12:00	WileECoyote	ScoobyDoo	250000	25000000						3	0.110
2010-09-27T20:13:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-10-20T05:56:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-11-13T23:18:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-12-08T05:29:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-01-02T21:29:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-02-02T18:40:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-02-17T19:07:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-03-20T19:49:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-04-27T17:59:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-05-20T22:20:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-06-06T02:51:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-08-21T18:22:00	Sturle Sunde	001CC4F0E697	250000	25000000						3	0.110
2011-09-21T18:18:00	Helmut Kirrmaier	SunX4170M2226	250000	25000000						3	0.110
2011-10-24T15:14:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-11-29T00:25:00	Sturle Sunde	v21	250000	25000000						3	0.110
2012-01-27T15:44:00	Sturle Sunde	v23	250000	25000000						3	0.110
2012-03-06T05:11:00	Sturle Sunde	v23	250000	25000000						3	0.110
2012-04-22T05:54:00	Sturle Sunde	v21	250000	25000000						3	0.110
2012-06-13T02:14:00	Sturle Sunde	v23	250000	25000000						3	0.110
2013-02-18T14:06:00	KevinChen	HomeOfKevin	250000	25000000						3	0.110
2013-06-05T03:52:00	Sturle Sunde	v23	250000	25000000						3	0.110
2014-08-04T03:57:00	wuxiao	DNE_World_Trade	250000	25000000						3	0.110
2015-10-29T02:50:52	Bruce	Desk8	250000	25000000						3	0.110
2015-11-15T19:19:17	Bruce	Desk7	250000	25000000						3	0.110
2015-11-22T16:12:39	Bruce	Desk8	250000	25000000						3	0.110
2015-11-27T16:35:50	Bruce	Desk7	250000	25000000						3	0.110
2015-12-03T06:53:21	Bruce	Desk7	250000	25000000						3	0.110
2015-12-08T01:42:36	Bruce	Desk8	250000	25000000						3	0.110
2015-12-15T04:28:20	Bruce	Desk8	250000	25000000						3	0.110
2015-12-27T13:39:33	Bruce	Desk8	250000	25000000	86987793386288202324852001106017	106.101	3	2		3	0.110
2021-01-29T12:49:53	TJAOI	Manual testing	250000	25000000						36	1.316
2021-09-02T13:13:31	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.256
2021-10-04T13:26:37	Stef42	AMD-DESKTOP	250000	38500000						7	0.302
2021-12-01T07:53:03	volki	home	250000	25000000						7	0.256
2022-02-08T23:27:50	MarkS	desktop-i7	250000	25000000						7	0.256
2022-03-31T10:04:04	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2022-05-20T15:20:30	debrouxl	o9020	250000	36750000						7	0.296

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