M289381 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	102.6810	71.6418%	262144	26214400	0.0166	4.0438%	102.6976	72.7885%	1.1468%
PrimeNet	2⁴⁰	0.0000	52.5000%	3000	80000	0.0001	15.0798%	0.0001	59.6629%	7.1629%
GPU72	2⁴⁴	0.0000	56.8182%	5500	140000	0.0001	11.1848%	0.0001	61.6480%	4.8298%
Difference	+23	+102.6809	+14.8236%	+256644	+26074400	+0.0165	-7.1410%	+102.6974	+11.1406%	+11.1406%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
289381	27612231407138337248332981378729	32	104.445	47709129844631018014888644 2² × 3² × 7 × 941 × 1597 × 2633 × 556891 × 85918237	2010-05-17	556891	85918237	4.477e+11	0.0516	0.0866

	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	-	-	2.296%
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	-	-	4.044%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	289381	289381		-		-	-	0.003	-	-	1.156%

	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	-	-
2009-01-05T18:14:00	Sturle Sunde	agrell.ifi	2⁵⁸	2⁵⁹		-	-	0.133	-	-
2009-01-26T23:52:00	Sturle Sunde	ghibu.ifi	2⁵⁹	2⁶⁰		-	-	0.265	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.576 GHz-days
Estimated T-Level:	26.375

Digits	B1	Curves	Complete	FacMiss
20	11000	457 / 100	4.570	1.012%
25	50000	457 / 280	1.632	19.494%
30	250000	176 / 640	0.275	75.941%

New Calculation Method

Total ECM effort:	8.576 GHz-days
Estimated T-Level:	26.375

Digits	B1	Complete	FacMiss
20	11000	26.935	0.000%
25	50000	3.497	3.029%
30	250000	0.339	71.252%
35	1000000	0.026	97.401%
40	3000000	0.002	99.830%

ECM Summary

B1	B2	factor	curves	GHz-days
		27612231407138337248332981378729	1	0.00000e+0
50000	5000000		281	2.056
250000	25000000		162	5.928
250000	36500000		7	0.296
250000	36750000		7	0.296

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-11T00:48:00	ANONYMOUS	Bayes	50000	5000000						1	0.007
2007-08-19T17:10:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-09-02T14:55:00	Team_Bundu	bundu1	50000	5000000						1	0.007
2007-09-24T20:00:00	Team_Bundu	bundu4	50000	5000000						1	0.007
2007-11-29T10:15:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-29T13:15:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-29T14:55:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-29T16:26:00	Sturle Sunde	minister	50000	5000000						1	0.007
2007-11-29T23:49:00	Andi47	Core2Duo	50000	5000000						1	0.007
2007-12-02T20:26:00	Sturle Sunde	minister	50000	5000000						1	0.007
2008-01-03T19:17:00	Steve Scott	805D	50000	5000000						1	0.007
2008-08-11T17:31:00	Sturle Sunde	v17	50000	5000000						3	0.022
2008-09-18T20:04:00	Sturle Sunde	v22	50000	5000000						3	0.022
2008-10-22T23:43:00	arnaud	chamot24	50000	5000000						3	0.022
2008-11-25T15:35:00	Sturle Sunde	v21	50000	5000000						3	0.022
2008-12-21T10:28:00	Sturle Sunde	v17	50000	5000000						3	0.022
2009-02-02T17:15:00	Sturle Sunde	v22	50000	5000000						3	0.022
2009-02-27T06:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-03-19T00:18:00	Sturle Sunde	v22	50000	5000000						3	0.022
2009-04-09T11:16:00	Walt Cooney	P4	50000	5000000						3	0.022
2009-04-16T20:06:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-04-21T04:43:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-25T05:39:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-04-29T03:46:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-03T19:16:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-08T18:04:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-05-12T04:28:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-16T04:52:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-21T14:59:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-26T04:08:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-30T05:47:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-04T04:42:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-08T20:26:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-06-13T04:35:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-19T17:32:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-06-30T23:57:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-07-15T05:11:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-07-30T19:50:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-14T15:47:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-25T17:30:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-08-28T20:23:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-01T16:05:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-05T17:11:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-09T18:38:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-13T01:52:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-16T16:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-20T20:36:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-24T01:26:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-28T15:41:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-10-02T15:36:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-09T19:41:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-10-15T14:07:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-19T11:45:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-22T18:47:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-25T23:56:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-28T20:52:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-31T18:46:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-04T05:37:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-07T06:38:00	ANONYMOUS	v21	50000	5000000						3	0.022
2009-11-10T19:43:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-14T06:48:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-19T05:17:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-11-24T16:21:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-26T20:36:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-30T17:18:00	ANONYMOUS	v21	50000	5000000						3	0.022
2009-12-03T18:28:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-07T19:34:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-11T05:32:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-15T02:06:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-19T04:00:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-26T22:12:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-04T02:13:00	ANONYMOUS	v21	50000	5000000						3	0.022
2010-01-08T04:57:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-13T02:36:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-17T03:50:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-21T21:41:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-25T01:14:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-28T17:37:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-01T06:53:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-04T18:39:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-08T18:30:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-12T13:10:00	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.022
2010-02-17T00:24:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-20T20:06:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-03-04T11:48:00	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.022
2010-03-10T13:26:00	BOM	C2Q-2667	50000	5000000						3	0.022
2010-03-16T19:51:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-11T16:47:00	James Hintz	NEW_OMFG	50000	5000000						6	0.044
2010-04-11T18:17:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-12T05:07:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-13T18:41:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-14T16:39:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-17T21:38:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-26T14:38:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-27T05:32:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-30T15:39:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-05-03T20:46:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-05-06T05:55:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-05-09T17:31:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-05-13T04:12:00	rwhitworth	desktop	50000	5000000						3	0.022
2010-05-17T01:42:00	Sturle Sunde	v23			27612231407138337248332981378729	104.445		1		1	-
2019-03-10T06:26:23	King	No.1_FactorFinder	250000	25000000						3	0.110
2019-03-15T12:26:35	TJAOI	Manual testing	250000	25000000						41	1.500
2020-06-06T08:20:21	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.110
2020-06-21T13:10:28	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.110
2020-06-29T13:12:46	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.110
2020-07-14T10:01:31	kracker	O0	250000	25000000						3	0.110
2020-07-24T18:08:36	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.110
2020-08-10T14:50:07	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.110
2020-09-23T12:11:44	nordi	sweet16	250000	25000000						7	0.256
2020-10-27T07:05:28	Chang Chia-Tche	exbpc13	250000	25000000						7	0.256
2020-11-10T16:36:57	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.256
2020-12-04T09:20:54	TJAOI	Manual testing	250000	25000000						72	2.635
2022-04-10T13:05:45	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2022-05-25T20:19:06	debrouxl	z400	250000	36500000						7	0.296
2022-06-19T21:58:44	debrouxl	dl380g9-1	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