M285071 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	104.2334	71.6418%	10000000	500000000	0.3636	9.5558%	104.5970	74.3517%	2.7099%
PrimeNet	2⁴⁰	0.0000	52.5000%	3000	80000	0.0001	15.0489%	0.0001	59.6482%	7.1482%
GPU72	2⁴⁴	0.0000	56.8182%	5000	130000	0.0001	10.8680%	0.0001	61.5112%	4.6930%
Difference	+23	+104.2334	+14.8236%	+9995000	+499870000	+0.3635	-1.3122%	+104.5969	+12.8405%	+12.8405%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
285071	7690780432069605150246570941833	31	102.601	13489236772715578137107196 2² × 3 × 11 × 223 × 379 × 4176727 × 289489811717	2016-01-12	4176727	289489811717	6.627e+11	156.32	291.88

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-06T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.003	-	-	2.290%
2001-07-03T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.006	-	-	2.766%
2002-06-09T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.590%
2002-08-17T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.004	-	-	2.281%
2003-03-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.008	-	-	3.100%
2003-11-28T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.017	-	-	4.036%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	285071	285071		-		-	-	0.003	-	-	1.144%
2011-02-19T12:49:00	Jocelyn Larouche	Manual testing	2000000	2000000		-		-	-	0.020	-	-	2.646%
2012-08-06T00:09:00	markr	Manual testing	10000000	400000000		-		-	-	0.310	-	-	9.263%
2012-08-08T08:27:00	ANONYMOUS	Manual testing	10000000	500000000		-		-	-	0.364	-	-	9.556%

	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	-	-
2022-03-07T06:11:39	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		-	-	0.067	-	-
2004-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.135	-	-
2009-01-02T04:06:00	Sturle Sunde	gollumilla.ifi	2⁵⁸	2⁵⁹		-	-	0.135	-	-
2009-01-23T22:49:00	Sturle Sunde	gorro.ifi	2⁵⁹	2⁶⁰		-	-	0.269	-	-
2013-06-24T20:15:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.539	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	1.078	-	-
2016-01-06T11:11:14	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	3.444	-	-
2016-01-06T11:11:14	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	6.887	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.398 GHz-days
Estimated T-Level:	27.016

Digits	B1	Curves	Complete	FacMiss
20	11000	553 / 100	5.530	0.386%
25	50000	538 / 280	1.921	14.590%
30	250000	258 / 640	0.403	66.802%

New Calculation Method

Total ECM effort:	16.398 GHz-days
Estimated T-Level:	27.016

Digits	B1	Complete	FacMiss
20	11000	31.293	0.000%
25	50000	4.109	1.643%
30	250000	0.409	66.440%
35	1000000	0.032	96.823%
40	3000000	0.002	99.790%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	2000000		15	0.031
50000	5000000		280	2.048
250000	25000000		157	5.742
250000	25000000	7690780432069605150246570941833	1	0.037
250000	125000000		100	8.541

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-11T00:15:00	ANONYMOUS	Bayes	50000	5000000						1	0.007
2007-08-19T07:44:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-09-02T00:35:00	Team_Bundu	bundu1	50000	5000000						1	0.007
2007-09-23T02:07:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-11-15T01:33:00	ANONYMOUS	minister	50000	5000000						1	0.007
2008-01-10T21:50:00	Sturle Sunde	minister	50000	5000000						3	0.022
2008-01-29T07:16:00	Scott Kurowski	v5_node.1	50000	5000000						3	0.022
2008-04-23T13:53:00	Sturle Sunde	v17	50000	5000000						3	0.022
2008-09-11T23:05:00	Sturle Sunde	v23	50000	5000000						3	0.022
2008-10-05T03:24:00	Sturle Sunde	v21	50000	5000000						3	0.022
2008-11-12T18:06:00	Jayson King	atlas	50000	5000000						3	0.022
2008-11-25T10:30:00	Matthias Wurtinger	WUR_E6600	11000	2000000						15	0.031
2008-12-08T10:48:00	Jayson King	atlas	50000	5000000						3	0.022
2009-01-17T01:25:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-02-28T07:56:00	Carsten Kossendey	durandal	50000	5000000						1	0.007
2009-02-28T19:46:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-03-15T04:06:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-06T20:48:00	James Hintz	08_060209	50000	5000000						3	0.022
2009-04-07T10:34:00	Carsten Kossendey	Manual testing	50000	5000000						1	0.007
2009-04-17T15:41:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-21T21:00:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-25T16:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-29T15:08:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-04T04:19:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-08T16:16:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-12T01:36:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-16T04:45:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-21T18:55:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-26T04:51:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-05-30T04:16:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-03T20:22:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-08T16:12:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-13T02:33:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-18T19:29:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-29T01:11:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-07-13T15:28:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-07-28T21:06:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-11T16:57:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-21T22:42:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-28T02:12:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-31T17:12:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-07T14:22:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-08T15:11:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-11T19:08:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-15T05:15:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-19T01:46:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-09-23T03:58:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-29T16:00:00	Lackó	Iroda_Andras	50000	5000000						3	0.022
2009-10-01T05:36:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-07T02:05:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-13T05:22:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-17T03:18:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-23T16:54:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-24T15:35:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-27T20:21:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-30T05:46:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-02T15:55:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-06T02:11:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-09T02:29:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-12T15:47:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-17T00:36:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-20T23:58:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-25T00:21:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-28T04:04:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-12-01T19:39:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-05T02:21:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-09T00:04:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-12T04:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-16T05:22:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-21T00:06:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-29T00:06:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-01-05T17:57:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-09T18:43:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-13T23:55:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-17T21:07:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-22T06:54:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-27T17:21:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-29T07:00:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-02-02T01:23:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-05T05:04:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-08T20:33:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-15T15:18:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-17T18:23:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-21T03:11:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-03-04T03:54:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-03-10T19:28:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-12T16:00:00	James Hintz	NEW_OMFG	50000	5000000						3	0.022
2010-04-12T17:53:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-04-12T20:28:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-13T15:28:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-13T18:02:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-13T21:03:00	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.022
2010-04-15T14:59:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-17T19:00:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-27T04:46:00	ANONYMOUS	v21	50000	5000000						3	0.022
2010-04-30T02:12:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-05-03T04:26:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-05-05T21:46:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-05-09T04:35:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-05-28T04:12:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-06-11T14:51:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-07-02T21:05:00	Dmitry B. Khachaturov	dix-dubna	250000	25000000						3	0.110
2010-07-21T22:59:00	WileECoyote	MathOffice	250000	25000000						3	0.110
2010-08-09T02:11:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-09-08T17:07:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-10-03T14:40:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-10-25T19:53:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-11-19T17:49:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-12-14T15:38:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-01-09T15:42:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-01-30T20:34:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-02-25T02:59:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-04-01T19:20:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-05-06T18:14:00	Dmitry B. Khachaturov	dix-dubna	250000	25000000						3	0.110
2011-05-25T04:59:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-06-12T21:38:00	Sturle Sunde	001CC4F0E4FD	250000	25000000						3	0.110
2011-09-01T03:45:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-09-29T16:13:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-11-03T18:29:00	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.110
2012-01-05T15:53:00	Sturle Sunde	v21	250000	25000000						3	0.110
2012-02-09T15:16:00	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.110
2012-03-22T17:19:00	Sturle Sunde	v21	250000	25000000						3	0.110
2012-05-04T16:18:00	Sturle Sunde	v21	250000	25000000						3	0.110
2012-10-10T12:51:00	TURKIYE TURKIYE TURKIYE	456	250000	25000000						3	0.110
2013-01-21T21:36:00	Sturle Sunde	v23	250000	25000000						3	0.110
2013-10-26T00:27:00	Sturle Sunde	v23	250000	25000000						3	0.110
2015-03-08T09:25:00	driveByUpgrades	rebuild_quad	250000	25000000						3	0.110
2015-11-11T12:26:19	Bruce	Desk7	250000	25000000						3	0.110
2015-11-18T13:14:09	Bruce	Desk7	250000	25000000						3	0.110
2015-11-25T01:14:40	Bruce	Desk8	250000	25000000						3	0.110
2015-11-30T09:18:04	Bruce	Desk7	250000	25000000						3	0.110
2015-12-05T11:00:48	Bruce	Desk8	250000	25000000						3	0.110
2015-12-11T10:27:26	XZT	Tablet	250000	25000000						3	0.110
2015-12-22T02:35:01	Bruce	Desk8	250000	25000000						3	0.110
2016-01-01T12:35:58	Bruce	Desk8	250000	25000000						3	0.110
2016-01-12T10:18:24	Bruce	Desk8	250000	25000000	7690780432069605150246570941833	102.601	1	2		1	0.037
2021-01-01T10:27:57	TJAOI	Manual testing	250000	25000000						35	1.280
2021-09-27T23:28:57	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.256
2021-11-06T23:53:32	mnd9	f4	250000	25000000						7	0.256
2022-01-21T20:07:33	Oliver Kruse	11700K	250000	125000000						100	8.541

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