M614981 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	48.3168	70.1493%	1270000	40640000	0.0752	5.9221%	48.3920	71.9171%	1.7678%
PrimeNet	2⁴⁰	0.0000	50.0000%	6000	220000	0.0004	20.5737%	0.0004	60.2869%	10.2869%
GPU72	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4736%	0.0006	61.5789%	7.0334%
Difference	+23	+48.3168	+15.6038%	+1260000	+40280000	+0.0746	-9.5514%	+48.3914	+10.3382%	+10.3382%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
614981	586998438175838840071447	24	78.958	477249246867658383 3² × 40283 × 1316378971189	2015-02-21	40283	1316378971189	143,561	1,580.1	2,951.2

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-02T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.188%
2002-01-22T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.406%
2002-03-10T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.001	-	-	0.739%
2002-05-05T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	1.209%
2002-06-29T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.005	-	-	1.823%
2002-09-29T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.578%
2003-05-11T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	3.460%
2011-07-10T12:42:00	Jocelyn Larouche	Manual testing	374406	374406		-		-	-	0.008	-	-	1.482%
2011-08-31T00:06:00	Jocelyn Larouche	Manual testing	624010	624010		-		-	-	0.014	-	-	1.864%
2012-03-10T12:51:00	Jocelyn Larouche	Manual testing	780013	780013		-		-	-	0.017	-	-	2.047%
2012-08-01T01:15:00	Jocelyn Larouche	Manual testing	1229962	1229962		-		-	-	0.027	-	-	2.450%
2013-10-19T12:34:00	David Campeau	i5-2500k	1270000	40640000		-		-	-	0.075	-	-	5.922%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2001-04-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.016	-	-
2001-10-20T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.031	-	-
2003-11-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.062	-	-
2008-10-13T00:04:00	Sturle Sunde	antonov.ifi	2⁵⁸	2⁵⁹		-	-	0.062	-	-
2008-10-13T00:42:00	Sturle Sunde	antonov.ifi	2⁵⁹	2⁶⁰		-	-	0.125	-	-
2011-01-25T06:03:00	Sid & Andy	Toy_Soldier_2	2⁶⁰	2⁶¹		-	-	0.250	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.521 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	326 / 100	3.260	3.776%
25	50000	326 / 280	1.164	31.150%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	8.521 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.763	0.000%
25	50000	1.352	25.865%
30	250000	0.108	89.777%
35	1000000	0.007	99.295%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	4.753
50000	5000000	586998438175838840071447	2	0.034
250000	25000000		44	3.734

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-23T18:20:00	Chad Davis	Bayes	50000	5000000						1	0.017
2007-10-14T03:09:00	James Heinrich	WHS	50000	5000000						1	0.017
2007-12-15T02:42:00	Steve Scott	Abit	50000	5000000						1	0.017
2007-12-15T03:04:00	Steve Scott	Abit	50000	5000000						1	0.017
2008-03-10T09:53:00	Scott Kurowski	HomeOffice	50000	5000000						3	0.051
2008-09-27T17:57:00	Sturle Sunde	v21	50000	5000000						3	0.051
2008-12-08T21:07:00	Sturle Sunde	v22	50000	5000000						3	0.051
2009-02-24T00:10:00	Sturle Sunde	v23	50000	5000000						3	0.051
2009-04-11T09:47:00	Lupo	yorick	50000	5000000						3	0.051
2009-07-02T16:16:00	Architects Cubed	m1_68	50000	5000000						3	0.051
2009-07-11T16:36:00	Architects Cubed	m1_75	50000	5000000						3	0.051
2009-09-02T19:17:00	linded	KCPB8P0-NET214	50000	5000000						3	0.051
2009-10-01T04:47:00	linded	KCPB8P0-NET214	50000	5000000						3	0.051
2009-10-24T19:55:00	Sturle Sunde	FLB-ST-0034	50000	5000000						3	0.051
2009-11-12T03:04:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-12-04T04:58:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-12-28T23:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-01-18T01:43:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-02-02T00:47:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.051
2010-02-19T00:30:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.051
2010-03-13T05:18:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-03-31T00:29:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-05-07T02:17:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-05-26T18:51:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-06-17T16:29:00	Sturle Sunde	PRE6S2CKN9ZD4EE	50000	5000000						3	0.051
2010-07-19T13:12:00	ANONYMOUS	07_122109	50000	5000000						3	0.051
2010-08-13T03:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-08-31T17:32:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-09-04T16:11:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-09-22T01:06:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-10-10T16:24:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.051
2010-10-24T19:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-11-09T15:31:00	Kamil_Górski	thefault	50000	5000000						3	0.051
2010-11-29T00:55:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-12-30T17:29:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-01-04T22:34:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.051
2011-01-15T17:25:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-01-29T05:04:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-02-15T23:47:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-01T00:12:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-13T16:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-28T18:46:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.051
2011-04-20T17:26:00	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-05-11T16:02:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-05-27T16:49:00	Sturle Sunde	PRE6S33KN9ZE3KR	50000	5000000						3	0.051
2011-06-14T17:37:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-07-10T19:28:00	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-08-08T21:20:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-09-23T03:54:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-01-19T02:51:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-01-25T14:28:00	Sturle Sunde	EIK-ST-1008	50000	5000000						3	0.051
2012-03-08T16:52:00	Sturle Sunde	TOR-ST-0036	50000	5000000						3	0.051
2012-05-21T00:41:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-08-12T19:33:00	Lukasz Wrobel	v7	50000	5000000						3	0.051
2012-10-26T19:02:00	Lukasz Wrobel	v7	50000	5000000						3	0.051
2013-09-14T00:39:00	lopper	Surface_staples	50000	5000000						3	0.051
2013-12-01T17:38:00	Bruce	bfc-ws	50000	5000000						3	0.051
2014-03-29T21:26:00	Bruce	snowflake	50000	5000000						3	0.051
2014-04-01T05:04:00	Bruce	snowflake	50000	5000000						3	0.051
2015-02-21T01:55:00	Bruce	desk16	50000	5000000	586998438175838840071447	78.958	2	2		2	0.034
2016-04-01T10:53:01	TJAOI	Manual testing	50000	5000000						20	0.339
2016-11-11T16:52:50	TJAOI	Manual testing	50000	5000000						91	1.545
2018-10-19T07:09:58	TJAOI	Manual testing	250000	25000000						44	3.734

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 1270000, B2 = 40640000 (P-1 stage 2)

B1 = 1270000 (P-1 stage 1)

B1 = 1229962 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 780013 (P-1 stage 1)

B1 = 624010 (P-1 stage 1)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 374406 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 65536 (P-1 stage 1)

B1 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 32768 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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