M289181 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	102.7520	71.6418%	12000000	500000000	0.3823	9.6743%	103.1343	74.3852%	2.7435%
PrimeNet	2⁴⁰	0.0000	52.5000%	3000	80000	0.0001	15.0784%	0.0001	59.6622%	7.1622%
GPU72	2⁴⁴	0.0000	56.8182%	5000	130000	0.0001	10.8911%	0.0001	61.5212%	4.7030%
Difference	+23	+102.7520	+14.8236%	+11995000	+499870000	+0.3822	-1.2169%	+103.1342	+12.8641%	+12.8641%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
289181	1800631303165364082435007	25	80.575	3113329200682901163 3 × 17 × 74099 × 823839331187	2020-11-05	74099	823839331187	1,122,231	444.74	830.64
289181	311697831357330490585003529	27	88.010	538932072572766693844 2² × 134733018143191673461	2012-09-06	4	134733018143191673461	264,816,495	7.273e+10	1.358e+11

exponent	prime factors	composite factor	digits	bits*
289181	1800631303165364082435007 311697831357330490585003529	56125287227076788574309064575432530325775600813970 3	51	168.585

	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	-	-	3.107%
2003-12-02T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.017	-	-	4.043%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	289181	289181		-		-	-	0.003	-	-	1.155%
2011-07-26T07:33:00	Jocelyn Larouche	Manual testing	1659882	1659882		-		-	-	0.016	-	-	2.476%
2012-08-10T07:18:00	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	-	-
2022-03-07T06:11:46	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	-	-
2009-01-05T16:43:00	Sturle Sunde	agrell.ifi	2⁵⁸	2⁵⁹		-	-	0.133	-	-
2009-01-26T21:12:00	Sturle Sunde	ghibu.ifi	2⁵⁹	2⁶⁰		-	-	0.266	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.138 GHz-days
Estimated T-Level:	26.297

Digits	B1	Curves	Complete	FacMiss
20	11000	448 / 100	4.480	1.108%
25	50000	448 / 280	1.600	20.132%
30	250000	166 / 640	0.259	77.138%

New Calculation Method

Total ECM effort:	8.138 GHz-days
Estimated T-Level:	26.297

Digits	B1	Complete	FacMiss
20	11000	22.930	0.000%
25	50000	2.822	5.948%
30	250000	0.266	76.606%
35	1000000	0.020	97.993%
40	3000000	0.001	99.871%

ECM Summary

B1	B2	factor	curves	GHz-days
		311697831357330490585003529	1	0.00000e+0
50000	5000000		282	2.064
250000	25000000		163	5.964
250000	25000000	1800631303165364082435007	3	0.110

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-11T01:04:00	ANONYMOUS	bundu1	50000	5000000						1	0.007
2007-08-19T16:58:00	George Woltman	D_P4DUAL	50000	5000000						1	0.007
2007-09-02T14:16:00	Team_Bundu	bundu1	50000	5000000						1	0.007
2007-09-24T17:48:00	Team_Bundu	bundu4	50000	5000000						1	0.007
2007-11-28T06:06:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-28T10:21:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-28T10:55:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-28T12:10:00	Andi47	Core2Duo	50000	5000000						1	0.007
2007-11-28T12:17:00	Andi47	Core2Duo	50000	5000000						1	0.007
2007-11-28T19:54:00	James Heinrich	WHS	50000	5000000						1	0.007
2007-12-01T20:15:00	Sturle Sunde	minister	50000	5000000						1	0.007
2008-01-03T14:24:00	Steve Scott	Asus-1	50000	5000000						1	0.007
2008-08-10T19:48:00	Sturle Sunde	v17	50000	5000000						3	0.022
2008-09-18T14:57:00	Sturle Sunde	v23	50000	5000000						3	0.022
2008-10-22T00:31:00	Sturle Sunde	v21	50000	5000000						3	0.022
2008-11-25T14:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2008-12-20T14:35:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-02-02T23:22:00	Sturle Sunde	v22	50000	5000000						3	0.022
2009-02-28T20:07:00	linded	kctz73a	50000	5000000						3	0.022
2009-03-18T19:39:00	James Heinrich	WHS	50000	5000000						3	0.022
2009-04-12T05:09:00	James Hintz	12_060209	50000	5000000						3	0.022
2009-04-17T04:14:00	linded	kctz74z	50000	5000000						3	0.022
2009-04-21T10:27:00	linded	kctz73a	50000	5000000						3	0.022
2009-04-25T04:18:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-29T02:33:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-03T21:17:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-08T17:45:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-12T00:41:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-16T01:52:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-21T15:28:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-26T05:30:00	ANONYMOUS	v21	50000	5000000						3	0.022
2009-05-30T15:11:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-04T01:18:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-08T18:59:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-13T03:49:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-30T17:14:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-07-15T14:02:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-07-30T18:46:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-14T15:35:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-14T18:02:00	linded	23G4692-Lib1	50000	5000000						3	0.022
2009-08-25T17:14:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-29T10:27:00	linded	23G4692-Lib1	50000	5000000						3	0.022
2009-09-01T04:42:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-05T15:32:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-09T17:51:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-12T18:36:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-16T19:24:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-20T15:41:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-23T21:54:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-28T06:39:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-10-02T15:19:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-09T09:09:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-10-15T08:31:00	Lackó	Iroda_Andras	50000	5000000						3	0.022
2009-10-18T18:28:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-22T20:48:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-25T17:40:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-28T18:38:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-31T17:12:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-03T23:43:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-07T05:07:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-10T21:32:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-14T10:00:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-11-19T02:48:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-23T02:25:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-26T12:27:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-11-30T04:24:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-03T19:05:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-07T07:49:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-12-11T03:41:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-14T21:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-18T22:55:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-12-26T06:49:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-03T19:46:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-08T01:37:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-13T02:05:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-16T18:41:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-22T05:29:00	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.022
2010-01-25T03:29:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-28T06:38:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-01T00:25:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-04T15:34:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-08T01:35:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-11T18:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-17T01:30:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-20T01:51:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-03-03T15:50:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-03-10T04:19:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-03-16T18:18:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-11T16:25:00	James Hintz	NEW_OMFG	50000	5000000						6	0.044
2010-04-11T18:41:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-11T23:38:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-13T23:47:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-14T15:01:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-17T14:37:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-21T23:45:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-27T05:21:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-30T05:16:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-05-03T17:01:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-05-06T03:22:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-05-09T14:17:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-05-12T20:50:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-05-16T22:19:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-05-31T19:42:00	Beat Bucheli	I7	250000	25000000						3	0.110
2010-06-13T23:17:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-07-14T04:20:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-08-26T03:12:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-09-24T17:51:00	Beat Bucheli	I7	250000	25000000						3	0.110
2010-10-15T15:05:00	Sturle Sunde	v23	250000	25000000						3	0.110
2010-11-07T22:13:00	Sturle Sunde	v21	250000	25000000						3	0.110
2010-12-04T17:46:00	ANONYMOUS	v23	250000	25000000						3	0.110
2010-12-27T20:55:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-01-22T05:42:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-02-13T19:37:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-03-17T15:44:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-04-25T10:39:00	Dmitry B. Khachaturov	dix-dubna	250000	25000000						3	0.110
2011-05-19T20:30:00	Sturle Sunde	001CC4F0E4FD	250000	25000000						3	0.110
2011-06-05T15:46:00	Sturle Sunde	001CC4F0E683	250000	25000000						3	0.110
2011-08-21T02:15:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-08-21T04:39:00	Sturle Sunde	v21	250000	25000000						3	0.110
2011-10-27T16:14:00	Sturle Sunde	v23	250000	25000000						3	0.110
2011-12-02T21:53:00	Sturle Sunde	v21	250000	25000000						3	0.110
2012-01-30T02:05:00	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.110
2012-03-11T19:45:00	Sturle Sunde	v23	250000	25000000						3	0.110
2012-04-27T18:41:00	Sturle Sunde	v23	250000	25000000						3	0.110
2012-09-06T22:10:00	Sturle Sunde	v23			311697831357330490585003529	88.010		1		1	-
2020-10-20T17:31:44	nordi	sweet16	250000	25000000						7	0.256
2020-11-05T00:38:29	nordi	sweet16	250000	25000000	1800631303165364082435007	80.575	3	2	5938660242183431	3	0.110
2020-11-13T10:34:13	TJAOI	Manual testing	250000	25000000						73	2.671
2022-03-14T02:15:09	Corey	tab	250000	25000000						7	0.256
2022-05-11T07:58:24	Corey	tab	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