M299771 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	99.1221	71.6418%	10000000	400000000	0.3222	9.3048%	99.4443	74.2805%	2.6387%
PrimeNet	2⁴⁰	0.0000	52.5000%	3200	90000	0.0001	15.5660%	0.0001	59.8939%	7.3939%
GPU72	2⁴⁴	0.0000	56.8182%	5500	140000	0.0001	11.2422%	0.0001	61.6728%	4.8546%
Difference	+23	+99.1220	+14.8236%	+9994500	+399860000	+0.3221	-1.9374%	+99.4441	+12.6077%	+12.6077%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
299771	1003600575574983026723281	25	79.731	1673945404283574840 2³ × 3 × 5 × 11 × 23² × 53 × 45230961151	2015-12-03	529	45230961151	758,499	25.410	47.458

	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	10000000		-		-	-	0.007	-	-	2.787%
2002-06-09T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.604%
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.604%
2002-08-17T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.004	-	-	2.299%
2003-03-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.009	-	-	3.123%
2003-12-13T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.017	-	-	4.062%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	299771	299771		-		-	-	0.003	-	-	1.184%
2008-11-15T21:08:00	Jayson King	atlas	10000000	400000000		-		-	-	0.322	-	-	9.305%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-04-23T16:33:40	nordi	sweet16	10000000	500000000	2	7			-	-	0.418
2021-04-30T09:41:14	nordi	sweet16	10000000	500000000	6	5			-	-	0.418

	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	-	-
2022-03-07T06:12:00	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.008	-	-
2001-03-05T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.032	-	-
2002-02-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.064	-	-
2004-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.128	-	-
2009-01-02T09:50:00	Sturle Sunde	goldiek.ifi	2⁵⁸	2⁵⁹		-	-	0.128	-	-
2009-01-24T08:53:00	Sturle Sunde	ghibu.ifi	2⁵⁹	2⁶⁰		-	-	0.256	-	-
2013-06-11T20:53:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.512	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	1.025	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.694 GHz-days
Estimated T-Level:	27.375

Digits	B1	Curves	Complete	FacMiss
20	11000	585 / 100	5.850	0.280%
25	50000	585 / 280	2.089	12.331%
30	250000	304 / 640	0.475	62.165%

New Calculation Method

Total ECM effort:	14.694 GHz-days
Estimated T-Level:	27.375

Digits	B1	Complete	FacMiss
20	11000	34.398	0.000%
25	50000	4.554	1.052%
30	250000	0.455	63.439%
35	1000000	0.036	96.482%
40	3000000	0.002	99.767%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	2.143
250000	25000000		141	5.376
250000	25000000	1003600575574983026723281	3	0.114
250000	36750000		160	7.060

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-11T04:58:00	ANONYMOUS	bundu1	50000	5000000						1	0.008
2007-08-20T22:46:00	Chad Davis	Bayes	50000	5000000						1	0.008
2007-09-04T06:51:00	Chad Davis	Bayes	50000	5000000						1	0.008
2007-10-01T13:13:00	ANONYMOUS	minister	50000	5000000						1	0.008
2007-12-24T10:52:00	Steve Scott	Abit	50000	5000000						1	0.008
2007-12-24T12:57:00	Steve Scott	Asus-1	50000	5000000						1	0.008
2007-12-24T14:07:00	Steve Scott	Abit	50000	5000000						1	0.008
2007-12-24T17:14:00	Steve Scott	805D	50000	5000000						1	0.008
2007-12-24T18:55:00	James Heinrich	WHS	50000	5000000						1	0.008
2008-01-10T06:16:00	Team_Bundu	bundu2	50000	5000000						3	0.023
2008-08-29T17:08:00	Sturle Sunde	v21	50000	5000000						3	0.023
2008-09-23T21:46:00	Sturle Sunde	v23	50000	5000000						3	0.023
2008-10-31T06:06:00	Sturle Sunde	v22	50000	5000000						3	0.023
2008-12-02T07:09:00	J.Kampmeier	Big_Brother_2	50000	5000000						3	0.023
2009-01-11T03:06:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-02-15T05:53:00	Jens Bolm	JMBhome	50000	5000000						3	0.023
2009-04-07T12:09:00	Carsten Kossendey	durandal	50000	5000000						100	0.763
2009-10-19T00:23:00	Sturle Sunde	v23	50000	5000000						3	0.023
2009-10-23T01:30:00	Sturle Sunde	v23	50000	5000000						3	0.023
2009-10-26T06:08:00	Sturle Sunde	v23	50000	5000000						3	0.023
2009-10-29T04:28:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-11-01T06:15:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-11-04T22:26:00	Sturle Sunde	v23	50000	5000000						3	0.023
2009-11-08T05:29:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-11-11T21:43:00	smoky	powermac	50000	5000000						3	0.023
2009-11-16T04:59:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-11-20T20:17:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-11-25T01:11:00	ANONYMOUS	v23	50000	5000000						3	0.023
2009-11-28T09:43:00	ClknGo Software	cngws2	50000	5000000						3	0.023
2009-12-01T20:53:00	Sturle Sunde	v23	50000	5000000						3	0.023
2009-12-05T18:57:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-12-09T21:25:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-12-13T06:29:00	Sturle Sunde	v21	50000	5000000						3	0.023
2009-12-18T16:29:00	Lackó	Iroda_Andras	50000	5000000						3	0.023
2009-12-24T13:02:00	ClknGo Software	cngws2	50000	5000000						3	0.023
2010-01-01T15:32:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-01-07T17:55:00	ANONYMOUS	v23	50000	5000000						3	0.023
2010-01-12T18:05:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-01-16T06:31:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-01-21T05:51:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-01-24T20:54:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-01-28T16:31:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-02-01T17:35:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-02-04T20:36:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-02-08T17:58:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-02-17T13:12:00	BOM	C2Q-2667	50000	5000000						3	0.023
2010-02-22T05:35:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-03-01T15:24:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-03-04T21:07:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-03-12T00:25:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-03-18T00:59:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-03-21T05:54:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-03-25T00:49:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-03-28T05:13:00	ANONYMOUS	v23	50000	5000000						3	0.023
2010-03-31T23:27:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-04-05T00:09:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-04-15T19:35:00	Sturle Sunde	v23	50000	5000000						3	0.023
2010-04-20T21:48:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-04-25T20:06:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-04-29T18:16:00	ANONYMOUS	v23	50000	5000000						3	0.023
2010-05-02T22:02:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-05-05T18:28:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-05-08T22:13:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-05-12T14:47:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-05-16T17:32:00	Sturle Sunde	v21	50000	5000000						3	0.023
2010-05-18T23:27:00	James Hintz	NEW_OMFG	50000	5000000						7	0.053
2010-05-27T03:07:00	ANONYMOUS	v23	250000	25000000						3	0.114
2010-06-09T23:17:00	Sturle Sunde	v21	250000	25000000						3	0.114
2010-07-03T22:08:00	Sturle Sunde	v21	250000	25000000						3	0.114
2010-08-19T15:10:00	Sturle Sunde	v23	250000	25000000						3	0.114
2010-09-15T01:52:00	ANONYMOUS	v23	250000	25000000						3	0.114
2010-10-12T20:50:00	Sturle Sunde	v23	250000	25000000						3	0.114
2010-11-05T00:50:00	ANONYMOUS	v23	250000	25000000						3	0.114
2010-12-03T16:03:00	Sturle Sunde	v21	250000	25000000						3	0.114
2010-12-27T20:55:00	ANONYMOUS	v21	250000	25000000						3	0.114
2011-01-24T05:14:00	Bruce	Latitude-E6510	250000	25000000						3	0.114
2011-02-15T19:03:00	Sturle Sunde	v21	250000	25000000						3	0.114
2011-03-21T00:56:00	Sturle Sunde	001CC4F0E697	250000	25000000						3	0.114
2011-04-29T17:48:00	Sturle Sunde	v21	250000	25000000						3	0.114
2011-05-23T02:56:00	Sturle Sunde	v21	250000	25000000						3	0.114
2011-06-10T20:20:00	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.114
2011-08-30T18:04:00	Sturle Sunde	v21	250000	25000000						3	0.114
2011-09-30T02:46:00	Sturle Sunde	v23	250000	25000000						3	0.114
2011-11-05T15:51:00	Sturle Sunde	v21	250000	25000000						3	0.114
2011-12-23T21:24:00	Sturle Sunde	v23	250000	25000000						3	0.114
2012-02-13T21:07:00	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.114
2012-04-03T22:03:00	Sturle Sunde	v21	250000	25000000						3	0.114
2012-05-21T23:20:00	Sturle Sunde	v23	250000	25000000						3	0.114
2012-11-24T00:20:00	Sturle Sunde	v23	250000	25000000						3	0.114
2013-04-02T20:06:00	Sturle Sunde	v23	250000	25000000						3	0.114
2014-06-04T06:33:00	swildner	collider	250000	25000000						3	0.114
2015-11-15T14:32:27	Bruce	Desk8	250000	25000000						3	0.114
2015-11-23T05:31:34	Bruce	Desk7	250000	25000000						3	0.114
2015-11-28T08:44:30	Bruce	Desk7	250000	25000000						3	0.114
2015-12-03T22:25:31	Bruce	Desk8	250000	25000000	1003600575574983026723281	79.731	3	2		3	0.114
2020-09-18T09:12:40	TJAOI	Manual testing	250000	25000000						57	2.173
2021-12-08T13:48:25	nordi	sweet16_ccx3	250000	36750000						160	7.060

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