M619981 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	47.9271	70.1493%	1275000	40800000	0.0755	5.9338%	48.0027	71.9205%	1.7713%
PrimeNet	2⁴⁰	0.0000	50.0000%	6000	220000	0.0004	20.5924%	0.0004	60.2962%	10.2962%
GPU72	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4885%	0.0006	61.5857%	7.0402%
Difference	+23	+47.9271	+15.6038%	+1265000	+40440000	+0.0749	-9.5547%	+48.0020	+10.3349%	+10.3349%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
619981	3962327081062902836746009	25	81.713	3195522992690826684 2² × 3 × 23 × 11577981857575459	2013-12-03	23	11577981857575459	1,481,350	13,897,759	25,957,144

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-12-31T00:00:00	Alex Kruppa	v4_computers	2000	40000		-		-	-	8.96776e-5	-	-	0.110%
2001-01-14T00:00:00	Alex Kruppa	v4_computers	100000	4000000		-		-	-	0.007	-	-	2.580%
2002-05-11T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	1.211%
2002-06-29T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.005	-	-	1.826%
2002-09-29T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.581%
2003-05-19T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	3.464%
2011-07-10T12:43:00	Jocelyn Larouche	Manual testing	370495	370495		-		-	-	0.008	-	-	1.476%
2011-08-31T00:06:00	Jocelyn Larouche	Manual testing	617493	617493		-		-	-	0.014	-	-	1.858%
2012-06-19T02:41:00	Jocelyn Larouche	Manual testing	619987	619987		-		-	-	0.014	-	-	1.861%
2012-08-01T01:16:00	Jocelyn Larouche	Manual testing	1239962	1239962		-		-	-	0.027	-	-	2.460%
2013-10-20T06:01:00	David Campeau	i5-2500k	1275000	40800000		-		-	-	0.076	-	-	5.934%
2016-03-17T18:49:07	alpertron	Manual testing	1000000	30000000	12	-		-	-	0.057	-	-	5.481%

	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		-	-	0.015	-	-
2001-10-20T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.031	-	-
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.062	-	-
2008-10-14T02:48:00	Sturle Sunde	agrell.ifi	2⁵⁸	2⁵⁹		-	-	0.062	-	-
2008-10-14T03:32:00	Sturle Sunde	agrell.ifi	2⁵⁹	2⁶⁰		-	-	0.124	-	-
2010-12-29T02:24:00	Sid & Andy	Toy_Soldier	2⁶⁰	2⁶¹		-	-	0.248	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.475 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	323 / 100	3.230	3.892%
25	50000	323 / 280	1.154	31.486%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	8.475 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.667	0.000%
25	50000	1.344	26.092%
30	250000	0.107	89.825%
35	1000000	0.007	99.297%

ECM Summary

B1	B2	factor	curves	GHz-days
		3962327081062902836746009	1	0.00000e+0
50000	5000000		279	4.739
250000	25000000		44	3.737

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-24T08:04:00	Team_Bundu	bundu1	50000	5000000						1	0.017
2007-10-18T02:40:00	Chad Davis	Bayes	50000	5000000						1	0.017
2008-01-22T05:02:00	Steve Scott	Celeron	50000	5000000						3	0.051
2008-09-12T19:19:00	Sturle Sunde	v21	50000	5000000						3	0.051
2008-11-23T04:21:00	Sturle Sunde	v23	50000	5000000						3	0.051
2009-02-11T01:46:00	Sturle Sunde	v22	50000	5000000						3	0.051
2009-03-28T02:04:00	Sturle Sunde	v23	50000	5000000						3	0.051
2009-06-23T19:24:00	JPH	diablo	50000	5000000						3	0.051
2009-07-09T14:54:00	Architects Cubed	m1_51	50000	5000000						3	0.051
2009-09-25T16:51:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.051
2009-10-06T23:32:00	WileECoyote	boobuni	50000	5000000						3	0.051
2009-10-21T15:04:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-11-07T19:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-11-29T05:57:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-12-22T06:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-01-14T03:09:00	James Hintz	11_122109	50000	5000000						3	0.051
2010-01-30T05:16:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-02-13T22:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-03-09T20:00:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-03-27T22:57:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.051
2010-04-15T20:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-05-03T22:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-05-23T19:43:00	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.051
2010-06-14T22:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-07-12T23:54:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-08-09T22:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-09-02T23:34:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.051
2010-09-20T04:34:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-10-08T18:22:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-10-23T16:17:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-11-07T14:41:00	sannerud.com	Jim2010	50000	5000000						3	0.051
2010-11-27T22:57:00	sannerud.com	Jim2010	50000	5000000						3	0.051
2010-12-10T06:38:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.051
2010-12-29T18:39:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-01-15T01:53:00	Damian Silvestre	PcMa	50000	5000000						3	0.051
2011-01-28T17:11:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-02-15T21:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-02-28T20:58:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-15T02:57:00	Damian Silvestre	PcMa	50000	5000000						3	0.051
2011-03-28T21:06:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-04-19T22:46:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-05-11T18:11:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-05-28T05:21:00	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.051
2011-06-15T03:17:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-07-11T15:39:00	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-08-10T20:58:00	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-09-29T01:28:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-12-01T22:54:00	Sturle Sunde	000461A92481	50000	5000000						3	0.051
2012-01-25T02:47:00	Sturle Sunde	TOR-ST-0038	50000	5000000						3	0.051
2012-03-11T06:02:00	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.051
2012-05-26T21:43:00	Sturle Sunde	TOR-ST-0038	50000	5000000						3	0.051
2012-08-16T16:32:00	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.051
2012-10-26T19:25:00	Andriy Makukha	home-i5	50000	5000000						3	0.051
2013-09-20T12:22:00	lopper	Surface_staples	50000	5000000						3	0.051
2013-12-03T01:01:00	Bruce	bfc-ws			3962327081062902836746009	81.713		1		1	-
2016-05-06T13:28:43	TJAOI	Manual testing	50000	5000000						30	0.510
2016-10-21T13:21:40	TJAOI	Manual testing	50000	5000000						91	1.546
2019-04-05T11:26:33	TJAOI	Manual testing	250000	25000000						44	3.737

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 = 1275000, B2 = 40800000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1275000 (P-1 stage 1)

B1 = 1239962 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

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

B1 = 619987 (P-1 stage 1)

B1 = 617493 (P-1 stage 1)

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

B1 = 370495 (P-1 stage 1)

B1 = 100000, B2 = 4000000 (P-1 stage 2)

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

B1 = 131072 (P-1 stage 1)

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

B1 = 100000 (P-1 stage 1)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 40000 (P-1 stage 2)

B1 = 2000 (P-1 stage 1)

10⁰

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10²

10³

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10⁷

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10¹

10²

10³

10⁴

10⁵

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10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

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