M2453483 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	24.2940	67.6471%	3102822	43439508	0.5331	6.8551%	24.8271	69.8649%	2.2178%
PrimeNet	2⁵⁹	0.0313	62.7119%	10000	180000	0.0019	2.5289%	0.0332	63.6549%	0.9430%
GPU72	2⁶³	0.6505	65.0794%	10000	160000	0.0018	1.3337%	0.6523	65.5451%	0.4658%
Difference	+5	+23.6435	+2.5677%	+3092822	+43279508	+0.5313	+5.5214%	+24.1747	+4.3198%	+4.3198%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2453483	48947400398124898114118482639	29	95.305	9975084481556403307893 3² × 1108342720172933700877	2020-09-07	9	1108342720172933700877	3.506e+9	6.073e+12	1.134e+13

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%
2010-12-22T11:37:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.262%
2011-01-19T20:57:00	Oscar Östlin		95000	1947500		-		-	-	0.020	-	-	2.374%
2014-02-09T03:17:00	mikr	MSI	3102822	43439508		-		-	-	0.533	-	-	6.855%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:14	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-15T19:43:00	Sturle Sunde	czerny.ifi	2⁶⁰	2⁶¹		-	-	0.063	-	-
2012-06-07T11:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.125	-	-
2013-12-04T21:13:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.400	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.800	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.523	-	-
2015-10-25T20:35:05	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.046	-	-
2017-07-14T10:08:13	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.092	-	-
2019-07-17T09:51:52	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.18	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.060 GHz-days
Estimated T-Level:	3.850

Digits	B1	Curves	Complete	FacMiss
20	11000	77 / 100	0.770	46.122%
25	50000	77 / 280	0.275	75.920%

New Calculation Method

Total ECM effort:	7.060 GHz-days
Estimated T-Level:	3.850

Digits	B1	Complete	FacMiss
20	11000	2.484	8.342%
25	50000	0.224	79.892%
30	250000	0.014	98.627%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		72	6.601
50000	5000000	48947400398124898114118482639	5	0.458

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-09T22:36:00	S530729	64Bit	50000	5000000						3	0.275
2010-03-12T19:40:00	James Classen	towerofart	50000	5000000						3	0.275
2012-05-04T14:03:00	omiXorp	LLB16-T5500-21	50000	5000000						3	0.275
2014-01-08T17:52:00	Andy Incline	Office-PC	50000	5000000						3	0.275
2015-07-10T03:04:00	guru	w1	50000	5000000						3	0.275
2016-04-25T00:30:17	lettp	Home	50000	5000000						3	0.275
2016-06-17T02:35:27	lettp	Home	50000	5000000						3	0.275
2016-11-02T22:10:58	Bruce	Desk6	50000	5000000						3	0.275
2017-05-08T01:58:01	Bruce	Desk6	50000	5000000						3	0.275
2017-12-03T21:35:33	Bruce	Desk6	50000	5000000						3	0.275
2018-05-25T22:08:51	Bruce	Desk6	50000	5000000						3	0.275
2019-07-09T14:52:29	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2020-04-29T02:24:12	mnd9	eileen	50000	5000000						3	0.275
2020-05-10T07:27:23	mnd9	25836b	50000	5000000						3	0.275
2020-05-24T02:30:40	alpertron	laptop3	50000	5000000						3	0.275
2020-06-11T21:35:21	IanGlencross	glenx24	50000	5000000						3	0.275
2020-06-27T05:44:52	GAN	LMS-16	50000	5000000						3	0.275
2020-07-04T10:31:29	GAN	LMS-16	50000	5000000						3	0.275
2020-07-11T18:57:23	Brett Walker	brain	50000	5000000						3	0.275
2020-07-17T19:00:33	mnd9	75203b	50000	5000000						3	0.275
2020-07-23T03:47:21	GAN	LMS-14	50000	5000000						3	0.275
2020-07-31T13:21:24	GAN	KL-SCH09	50000	5000000						3	0.275
2020-08-06T11:23:33	GAN	LMS-18	50000	5000000						3	0.275
2020-08-14T22:24:53	daveward2005	Dave2	50000	5000000						3	0.275
2020-09-07T18:51:35	MarkS	desktop-i7	50000	5000000	48947400398124898114118482639	95.305	5	2	3957510469865597	5	0.458

date	userid	compid	res64	spent (GHz-days)
2015-11-14T22:45:00	MadPoo	Manual testing	05370A6F5FFD1E04	0.170

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 = 3102822, B2 = 43439508 (P-1 stage 2)

B1 = 3102822 (P-1 stage 1)

B1 = 95000, B2 = 1947500 (P-1 stage 2)

B1 = 95000 (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