M2466481 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	2⁶⁸	24.1660	67.6471%	6000000	180000000	1.5569	9.0161%	25.7228	70.5640%	2.9170%
PrimeNet	2⁵⁹	0.0311	62.7119%	10000	180000	0.0019	2.5315%	0.0331	63.6558%	0.9439%
GPU72	2⁶³	0.6471	65.0794%	10000	160000	0.0018	1.3352%	0.6489	65.5456%	0.4663%
Difference	+5	+23.5189	+2.5677%	+5990000	+179840000	+1.5551	+7.6809%	+25.0739	+5.0184%	+5.0184%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2466481	378025080466221746685553	24	78.323	76632473646912696 2³ × 3 × 23 × 53 × 2619376320991	2020-08-26	53	2619376320991	43,708	14,353	26,807

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.234%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	232500		-		-	-	0.003	-	-	0.788%
2010-11-19T22:14:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.263%
2010-11-25T01:29:00	Jocelyn Larouche	Manual testing	246648	246648		-		-	-	0.025	-	-	1.338%
2013-10-22T14:43:00	David Campeau	i5-2500k	590000	15930000		-		-	-	0.143	-	-	4.921%
2019-04-19T01:58:48	Sid & Andy	Bullseye	6000000	180000000	12	-		-	-	1.557	-	-	9.016%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:14	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-02-13T03:35:00	Sturle Sunde	figaro.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-08T10:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.125	-	-
2013-01-23T08:29:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.398	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.796	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.515	-	-
2015-10-27T09:37:27	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.030	-	-
2017-07-16T22:18:22	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.059	-	-
2019-06-17T12:14:55	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.12	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	6.790 GHz-days
Estimated T-Level:	3.700

Digits	B1	Curves	Complete	FacMiss
20	11000	74 / 100	0.740	47.534%
25	50000	74 / 280	0.264	76.739%

New Calculation Method

Total ECM effort:	6.790 GHz-days
Estimated T-Level:	3.700

Digits	B1	Complete	FacMiss
20	11000	2.387	9.190%
25	50000	0.216	80.594%
30	250000	0.013	98.680%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		69	6.331
50000	5000000	378025080466221746685553	5	0.459

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-13T02:49:00	alan145	Bear4	50000	5000000						3	0.275
2010-03-17T07:42:00	James Classen	towerofart	50000	5000000						3	0.275
2012-05-18T09:06:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.275
2014-01-24T02:05:00	Andy Incline	Office-PC	50000	5000000						3	0.275
2015-07-13T11:13:00	guru	w1	50000	5000000						3	0.275
2016-02-28T14:00:27	S36049	Wolle5	50000	5000000						3	0.275
2016-06-19T17:43:26	Jason U	Server7	50000	5000000						3	0.275
2017-02-19T00:55:40	Ensigma	vps_sing	50000	5000000						3	0.275
2017-07-31T02:34:07	JMGarcia	jmgarcia-pW07	50000	5000000						3	0.275
2017-12-12T15:05:04	Sebastian Hornbostel	V2	50000	5000000						3	0.275
2018-07-05T12:49:56	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2019-08-26T03:37:54	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2020-05-03T16:16:14	mnd9	eileen	50000	5000000						3	0.275
2020-05-15T08:17:31	Keysarecool	HPLaptop	50000	5000000						3	0.275
2020-06-05T17:33:01	raff	mini	50000	5000000						3	0.275
2020-06-21T09:49:03	MarkS	desktop-i7	50000	5000000						3	0.275
2020-07-01T03:38:03	GAN	LMS-16	50000	5000000						3	0.275
2020-07-07T21:51:00	GAN	LMS-08	50000	5000000						3	0.275
2020-07-14T02:13:44	GAN	LMS-15	50000	5000000						3	0.275
2020-07-21T01:43:16	Nesowa	entropy_generator_2	50000	5000000						3	0.275
2020-07-26T13:47:19	GAN	LMS-06	50000	5000000						3	0.275
2020-08-03T08:44:59	Sergey Nosov	TS140-02	50000	5000000						3	0.275
2020-08-10T16:05:23	GAN	LMS-18	50000	5000000						3	0.275
2020-08-26T03:54:14	daveward2005	Dave2	50000	5000000	378025080466221746685553	78.323	5	2		5	0.459

date	userid	compid	res64	spent (GHz-days)
1999-05-23T00:00:00	ANONYMOUS	v4_computers	3786FA37524101F6	0.171
2018-05-28T05:45:30	kkmrkkblmbrbk	old	3786FA37524101F6	0.171

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 = 6000000, B2 = 180000000 (P-1 stage 2)

B1 = 6000000 (P-1 stage 1)

B1 = 590000, B2 = 15930000 (P-1 stage 2)

B1 = 590000 (P-1 stage 1)

B1 = 246648 (P-1 stage 1)

B1 = 15000, B2 = 232500 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

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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