M461101 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	64.4412	71.6418%	10000000	400000000	0.5337	9.6650%	64.9749	74.3826%	2.7408%
PrimeNet	2⁴⁰	0.0000	52.5000%	4500	150000	0.0002	18.4110%	0.0002	61.2452%	8.7452%
GPU72	2⁴⁴	0.0000	56.8182%	8000	260000	0.0004	13.8806%	0.0004	62.8121%	5.9939%
Difference	+23	+64.4412	+14.8236%	+9992000	+399740000	+0.5333	-4.2156%	+64.9745	+11.5705%	+11.5705%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
461101	139604612488352383444488819353	30	96.817	151381814925962406766076 2² × 160687 × 235522809757420337	2017-03-25	160687	235522809757420337	5.873e+10	219,140,890	409,294,156

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-12-22T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.173%
2001-12-22T00:00:00	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.002	-	-	1.488%
2002-06-23T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.004	-	-	1.733%
2002-09-07T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.007	-	-	2.463%
2009-08-26T18:57:00	Carsten Kossendey	leela	461101	461101		-		-	-	0.008	-	-	1.560%
2010-10-10T14:33:00	Rob_Dee	twopc	500000	1000000		-		-	-	0.009	-	-	2.139%
2010-10-11T14:24:00	Rob_Dee	twopc	1000000	2000000		-		-	-	0.018	-	-	2.789%
2012-09-12T05:28:00	markr	Manual testing	10000000	400000000		-		-	-	0.534	-	-	9.665%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2001-03-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.021	-	-
2002-02-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.042	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.083	-	-
2016-02-23T16:28:10	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.250	-	-
2011-07-01T20:31:00	Sid & Andy	Buzz	2⁶⁰	2⁶¹		-	-	0.333	-	-
2015-07-16T19:11:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.666	-	-
2015-12-01T22:57:10	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	2.129	-	-
2015-12-01T22:57:10	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	4.258	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.899 GHz-days
Estimated T-Level:	26.125

Digits	B1	Curves	Complete	FacMiss
20	11000	424 / 100	4.240	1.410%
25	50000	424 / 280	1.514	21.937%
30	250000	144 / 640	0.225	79.838%

New Calculation Method

Total ECM effort:	12.899 GHz-days
Estimated T-Level:	26.125

Digits	B1	Complete	FacMiss
20	11000	21.032	0.000%
25	50000	2.551	7.798%
30	250000	0.238	78.858%
35	1000000	0.018	98.228%
40	3000000	0.001	99.887%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	3.612
250000	25000000		141	9.094
250000	25000000	139604612488352383444488819353	3	0.193

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-16T16:24:00	ANONYMOUS	Bayes	50000	5000000						1	0.013
2007-09-07T02:31:00	Chad Davis	Bayes	50000	5000000						1	0.013
2007-11-17T14:33:00	ANONYMOUS	minister	50000	5000000						1	0.013
2008-01-22T02:55:00	Team_Bundu	bundu3	50000	5000000						3	0.039
2008-05-19T20:13:00	Sturle Sunde	v17	50000	5000000						3	0.039
2008-09-29T14:59:00	Sturle Sunde	v22	50000	5000000						3	0.039
2008-12-01T16:29:00	Ryan Schulz	lap_08	50000	5000000						3	0.039
2009-01-22T18:16:00	Sturle Sunde	v21	50000	5000000						3	0.039
2009-04-08T21:03:00	S36049	Wolle3	50000	5000000						3	0.039
2009-05-06T17:21:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.039
2009-06-21T05:44:00	linded	KCPB8P0-NET214	50000	5000000						3	0.039
2009-07-08T17:33:00	Architects Cubed	m1_69	50000	5000000						3	0.039
2009-07-25T20:19:00	JimBa	CIT3srvr	50000	5000000						3	0.039
2009-08-29T00:14:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2009-09-20T16:22:00	David Bessell	L301	50000	5000000						3	0.039
2009-10-12T00:49:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-10-25T23:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-11-09T01:25:00	David Bessell	L301	50000	5000000						3	0.039
2009-11-23T23:12:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-12-10T23:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-12-29T21:54:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-13T00:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-25T00:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-02-05T15:38:00	James Hintz	18_012210	50000	5000000						3	0.039
2010-02-17T20:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-03-06T03:02:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-03-21T23:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-04-03T07:08:00	David Bessell	L301	50000	5000000						3	0.039
2010-04-29T17:32:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-05-14T21:58:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-05-28T05:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-06-13T22:57:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-07-02T00:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-07-11T19:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-07-25T01:32:00	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.039
2010-08-16T03:31:00	James Hintz	06_122109	50000	5000000						3	0.039
2010-08-31T05:32:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-09-12T19:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-09-26T01:22:00	sannerud.com	Jim2010	50000	5000000						3	0.039
2010-10-11T23:17:00	James Hintz	06_122109	50000	5000000						3	0.039
2010-10-20T16:41:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-11-03T15:17:00	James Hintz	06_122109	50000	5000000						3	0.039
2010-11-11T16:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-11-27T11:29:00	josibo	Ziben	50000	5000000						3	0.039
2010-12-07T04:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-12-17T06:12:00	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.039
2011-01-01T04:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-01-13T19:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-01-22T23:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-02-03T04:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-02-16T16:55:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-04-01T21:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-04-18T17:17:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-05-05T18:16:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-05-19T03:43:00	Lukasz Wrobel	w-l	50000	5000000						3	0.039
2011-05-30T01:39:00	Sturle Sunde	PRE6S23JYHZD1NR	50000	5000000						3	0.039
2011-06-11T18:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-06-29T07:39:00	Carsten Kossendey	durandal	50000	5000000						10	0.129
2011-07-03T16:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-07-20T16:55:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-08-11T23:54:00	Lukasz Wrobel	w-l	50000	5000000						3	0.039
2011-09-08T04:40:00	Sturle Sunde	PRECZB3140ZD8	50000	5000000						3	0.039
2011-10-28T05:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2011-12-09T03:42:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.039
2012-01-24T17:41:00	Sturle Sunde	TOR-ST-0038	50000	5000000						3	0.039
2012-02-25T16:40:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2012-03-31T20:09:00	561	561	50000	5000000						3	0.039
2012-05-25T03:29:00	MadPoo	IntLAVH03	50000	5000000						3	0.039
2012-05-30T04:51:00	MadPoo	IntLAVH03	50000	5000000						3	0.039
2012-06-04T07:57:00	MadPoo	IntLAVH03	50000	5000000						3	0.039
2013-02-07T07:16:00	HVer	dell	50000	5000000						3	0.039
2013-09-21T16:18:00	lopper	Surface_staples	50000	5000000						3	0.039
2013-11-30T13:36:00	Bruce	bfc-ws	50000	5000000						3	0.039
2014-02-20T00:41:00	dragon325	6005x64	50000	5000000						3	0.039
2014-03-26T02:57:00	Bruce	snowflake	50000	5000000						3	0.039
2014-03-27T00:44:00	Bruce	snowflake	50000	5000000						3	0.039
2014-06-21T20:41:00	swildner	net	50000	5000000						3	0.039
2014-07-16T08:57:00	Richard Otter	rjobio	50000	5000000						3	0.039
2015-03-16T02:56:00	lycorn	asteroid	50000	5000000						45	0.580
2016-04-02T05:16:02	Ira Fuse	Enigma	250000	25000000						3	0.193
2016-04-20T09:33:41	Bruce	wft	250000	25000000						3	0.193
2016-10-23T22:23:11	ANONYMOUS	_isor_1530	250000	25000000						3	0.193
2016-11-07T00:47:28	Obsidian	Ace	250000	25000000						3	0.193
2016-11-21T08:09:54	ANONYMOUS	q9550	250000	25000000						3	0.193
2016-12-11T02:32:13	Oussama Kiamouche	Home	250000	25000000						3	0.193
2017-02-24T03:04:48	ANONYMOUS	PD925	250000	25000000						3	0.193
2017-03-09T11:14:55	data dog	OTz	250000	25000000						3	0.193
2017-03-16T23:57:28	data dog	OTz	250000	25000000						3	0.193
2017-03-25T05:55:50	Bruce	Desk9	250000	25000000	139604612488352383444488819353	96.817	3	2		3	0.193
2018-01-12T16:39:29	TJAOI	Manual testing	250000	25000000						14	0.903
2020-08-21T10:48:38	TJAOI	Manual testing	250000	25000000						100	6.449

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