M357667 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	83.0770	71.6418%	131072	13107200	0.0118	3.2033%	83.0888	72.5502%	0.9084%
PrimeNet	2⁴⁰	0.0000	52.5000%	3600	110000	0.0001	16.6620%	0.0001	60.4145%	7.9145%
GPU72	2⁴⁴	0.0000	56.8182%	6500	180000	0.0002	12.3180%	0.0002	62.1373%	5.3191%
Difference	+23	+83.0770	+14.8236%	+124572	+12927200	+0.0116	-9.1147%	+83.0886	+10.4129%	+10.4129%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
357667	163252584473116537984129	24	77.111	228218684520960192 2⁶ × 3 × 31 × 3530369 × 10860959	2011-01-18	3530369	10860959	128,033	0.0552	0.1010

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2002-02-10T00:00:00	willmore	v4_computers	10000	137500		-		-	-	0.000	-	-	0.432%
2002-06-09T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.656%
2002-08-17T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.366%
2003-04-03T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.012	-	-	3.203%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	357667	357667		-		-	-	0.005	-	-	1.330%

	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	-	-
2000-04-19T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.007	-	-
2022-03-07T06:37:06	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.007	-	-
2001-03-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.027	-	-
2002-02-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.054	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.107	-	-
2008-12-29T17:13:00	Sturle Sunde	iago.ifi	2⁵⁸	2⁵⁹		-	-	0.107	-	-
2009-01-28T14:55:00	Sturle Sunde	ginglo.ifi	2⁵⁹	2⁶⁰		-	-	0.215	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.381 GHz-days
Estimated T-Level:	26.125

Digits	B1	Curves	Complete	FacMiss
20	11000	415 / 100	4.150	1.544%
25	50000	415 / 280	1.482	22.655%
30	250000	144 / 640	0.225	79.838%

New Calculation Method

Total ECM effort:	10.381 GHz-days
Estimated T-Level:	26.125

Digits	B1	Complete	FacMiss
20	11000	23.514	0.000%
25	50000	2.993	5.016%
30	250000	0.285	75.218%
35	1000000	0.022	97.842%
40	3000000	0.001	99.861%

ECM Summary

B1	B2	factor	curves	GHz-days
		163252584473116537984129	1	0.00000e+0
50000	5000000		271	2.839
250000	25000000		144	7.542

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-13T02:19:00	George Woltman	D_P4Debug	50000	5000000						1	0.010
2007-08-28T00:34:00	Team_Bundu	bundu1	50000	5000000						1	0.010
2007-09-17T07:26:00	Chad Davis	Bayes	50000	5000000						1	0.010
2007-12-06T21:57:00	Sturle Sunde	minister	50000	5000000						1	0.010
2007-12-07T02:46:00	Sturle Sunde	minister	50000	5000000						1	0.010
2007-12-07T03:12:00	Sturle Sunde	minister	50000	5000000						1	0.010
2007-12-07T05:52:00	Sturle Sunde	minister	50000	5000000						1	0.010
2008-01-06T12:41:00	Steve Scott		50000	5000000						1	0.010
2008-04-05T18:02:00	arnaud	chamot24	50000	5000000						3	0.031
2008-09-14T18:28:00	Sturle Sunde	v21	50000	5000000						3	0.031
2008-10-22T23:59:00	Sturle Sunde	v23	50000	5000000						3	0.031
2008-12-01T19:21:00	Sturle Sunde	v21	50000	5000000						3	0.031
2009-01-18T00:24:00	Sturle Sunde	v21	50000	5000000						3	0.031
2009-02-23T04:11:00	Sturle Sunde	v23	50000	5000000						3	0.031
2009-03-19T22:06:00	Sturle Sunde	v21	50000	5000000						3	0.031
2009-04-24T00:03:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.031
2009-06-16T19:22:00	linded	KCPB8P0-NET214	50000	5000000						3	0.031
2009-07-06T02:40:00	Architects Cubed	m1_44	50000	5000000						3	0.031
2009-07-11T20:14:00	Architects Cubed	m1_52	50000	5000000						3	0.031
2009-07-26T23:10:00	Architects Cubed	m1_72	50000	5000000						3	0.031
2009-08-28T03:38:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.031
2009-09-15T22:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2009-09-30T20:48:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2009-10-17T05:20:00	Sturle Sunde	PRECZC44710WB	50000	5000000						3	0.031
2009-10-26T18:28:00	Sturle Sunde	FLB-ST-0038	50000	5000000						3	0.031
2009-11-06T16:03:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2009-11-17T00:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2009-11-29T22:51:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2009-12-12T01:17:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2009-12-27T00:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-01-05T20:54:00	James Hintz	13_122109	50000	5000000						3	0.031
2010-01-18T18:57:00	James Hintz	02_122109	50000	5000000						3	0.031
2010-01-27T01:23:00	James Hintz	09_122109	50000	5000000						3	0.031
2010-02-04T01:06:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-02-11T21:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-02-24T23:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-03-09T17:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-03-20T16:48:00	David Bessell	L301	50000	5000000						3	0.031
2010-03-29T13:36:00	David Bessell	L301	50000	5000000						3	0.031
2010-04-08T21:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-04-19T22:00:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-04-29T03:27:00	Sturle Sunde	PRE6S24JYHZX4PA	50000	5000000						3	0.031
2010-05-10T02:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-05-18T07:09:00	Bud	annan	50000	5000000						3	0.031
2010-06-01T17:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-06-14T03:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-06-27T17:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-07-15T15:22:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-07-31T18:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-08-16T22:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-08-28T10:24:00	josibo	Ziben	50000	5000000						3	0.031
2010-09-07T21:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-09-17T04:41:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.031
2010-09-27T17:18:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-10-07T12:00:00	sannerud.com	Jim2010	50000	5000000						3	0.031
2010-10-16T02:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-10-18T13:21:00	Oscar Östlin		50000	5000000						1	0.010
2010-10-27T15:19:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-11-05T00:21:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-11-13T21:02:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.031
2010-11-29T03:06:00	James Hintz	06_122109	50000	5000000						3	0.031
2010-12-04T21:20:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.031
2010-12-10T21:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2010-12-20T20:57:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.031
2011-01-05T17:49:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.031
2011-01-10T01:39:00	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.031
2011-01-17T15:28:00	Damian Silvestre	PcMa	50000	5000000						3	0.031
2011-01-18T02:08:00	Sid & Andy	Hamm			163252584473116537984129	77.111		1		1	-
2016-05-13T16:17:45	TJAOI	Manual testing	50000	5000000						88	0.922
2018-01-05T12:36:48	TJAOI	Manual testing	250000	25000000						44	2.305
2019-09-09T15:48:01	TJAOI	Manual testing	250000	25000000						100	5.238

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