M2051383 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	29.0559	69.1176%	4000000	200000000	1.3994	8.7614%	30.4554	71.8234%	2.7057%
PrimeNet	2⁵⁸	0.0187	63.7931%	9000	160000	0.0016	2.6660%	0.0204	64.7584%	0.9653%
GPU72	2⁶²	0.2995	66.1290%	9000	120000	0.0014	1.3305%	0.3009	66.5797%	0.4506%
Difference	+6	+28.7565	+2.9886%	+3991000	+199880000	+1.3980	+7.4309%	+30.1544	+5.2437%	+5.2437%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2051383	592778504336327353772033	24	78.972	144482650079562752 2¹⁰ × 141096337968323	2020-07-12	1024	141096337968323	37,024	732,890	1,368,834

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-24T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.222%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	4000	4000		-		-	-	0.000	-	-	0.046%
2009-05-16T18:01:00	Rob_Dee	twopc	20000	280000		-		-	-	0.003	-	-	0.893%
2010-12-26T02:29:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.350%
2011-01-06T01:05:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.508%
2011-01-26T22:23:00	James Heinrich	i7-920	135000	2868750		-		-	-	0.027	-	-	2.708%
2014-10-22T23:53:00	Jocelyn Larouche	Manual testing	166288	166288		-		-	-	0.016	-	-	1.058%
2015-10-06T16:06:40	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.123	-	-	4.664%
2019-07-02T10:58:56	BigBrother	Winston	1000000	20000000	12	-		-	-	0.194	-	-	5.318%
2019-08-16T18:52:39	mikr	MSI	4000000	200000000	12	-		-	-	1.399	-	-	8.761%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:04	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.056	-	-
2009-01-03T01:27:00	Sturle Sunde	gopher.ifi	2⁶⁰	2⁶¹		-	-	0.075	-	-
2012-03-09T09:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.150	-	-
2013-09-01T20:20:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.479	-	-
2015-04-13T20:09:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.957	-	-
2015-04-13T20:09:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.821	-	-
2015-11-03T10:09:59	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.643	-	-
2016-08-18T20:55:10	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.286	-	-
2019-03-23T09:42:42	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.57	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.333 GHz-days
Estimated T-Level:	21.964

Digits	B1	Curves	Complete	FacMiss
20	11000	110 / 100	1.100	33.103%
25	50000	110 / 280	0.393	67.465%

New Calculation Method

Total ECM effort:	9.333 GHz-days
Estimated T-Level:	21.964

Digits	B1	Complete	FacMiss
20	11000	3.548	2.877%
25	50000	0.321	72.564%
30	250000	0.020	98.045%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		108	9.163
50000	5000000	592778504336327353772033	2	0.170

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-06T10:31:00	Matthias Eckoldt	serverSP	50000	5000000						3	0.255
2009-10-23T08:53:00	SubPrime	abd0	50000	5000000						3	0.255
2011-04-09T22:22:00	Csaba Vágó	timigep	50000	5000000						3	0.255
2013-03-05T21:21:00	Donna Noble	opt4820	50000	5000000						3	0.255
2014-04-01T09:33:00	AdolfNor	X7	50000	5000000						3	0.255
2015-07-11T17:41:00	guru	w6	50000	5000000						3	0.255
2016-02-19T19:34:27	Sintax	cloud	50000	5000000						3	0.255
2016-05-04T13:44:43	lettp	Home	50000	5000000						3	0.255
2016-07-17T11:27:51	Bruce	test	50000	5000000						3	0.255
2016-12-14T06:05:44	Bruce	Desk6	50000	5000000						3	0.255
2017-06-28T15:09:21	Bruce	Desk6	50000	5000000						3	0.255
2017-11-29T03:08:02	Bruce	Desk6	50000	5000000						3	0.255
2018-04-09T12:11:24	Bruce	Desk6	50000	5000000						3	0.255
2018-09-29T15:08:19	Bruce	Desk6	50000	5000000						3	0.255
2019-12-26T17:47:42	daveward2005	Davy	50000	5000000						3	0.255
2019-12-31T12:42:02	Sergey Nosov	TS140-02	50000	5000000						3	0.255
2020-01-05T11:26:59	Bommer	3900X	50000	5000000						3	0.255
2020-01-13T04:51:44	Nesowa	6700T	50000	5000000						3	0.255
2020-01-20T14:48:38	geralt-of-rivia	3930	50000	5000000						3	0.255
2020-01-26T06:31:40	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2020-02-04T04:25:25	J.R. Allen	lapdell	50000	5000000						3	0.255
2020-02-12T06:39:58	mnd9	75201b	50000	5000000						3	0.255
2020-02-18T21:11:58	EricP	Cannonfodder	50000	5000000						3	0.255
2020-02-26T15:34:05	mnd9	l2lounge	50000	5000000						3	0.255
2020-03-04T03:23:52	IanGlencross	glenx24	50000	5000000						3	0.255
2020-03-10T11:49:14	EricP	Cannonfodder	50000	5000000						3	0.255
2020-03-18T15:19:37	Brett Walker	brain	50000	5000000						3	0.255
2020-03-30T01:10:52	mnd9	colab2	50000	5000000						3	0.255
2020-04-10T04:54:51	EricP	Cannonfodder	50000	5000000						3	0.255
2020-04-23T01:17:14	Oliver Kruse	IOS-1	50000	5000000						3	0.255
2020-04-30T15:56:31	nranks	wlaptop	50000	5000000						3	0.255
2020-05-11T18:22:23	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.255
2020-05-26T03:48:34	daveward2005	Davy	50000	5000000						3	0.255
2020-06-15T00:36:56	GAN	KL-10	50000	5000000						3	0.255
2020-06-30T13:54:38	nokno	leo221	50000	5000000						3	0.255
2020-07-05T10:26:59	GAN	LMS-18	50000	5000000						3	0.255
2020-07-12T12:58:07	daveward2005	MW	50000	5000000	592778504336327353772033	78.972	2	2		2	0.170

date	userid	compid	res64	spent (GHz-days)
1999-01-29T00:00:00	ANONYMOUS	v4_computers	9C683847529ACED6	0.135
2016-07-15T23:26:51	Mark Rose	donatello	9C683847529ACED6	0.135

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 = 4000000, B2 = 200000000 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 1000000, B2 = 20000000 (P-1 stage 2)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 135000, B2 = 2868750 (P-1 stage 2)

B1 = 166288 (P-1 stage 1)

B1 = 135000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 20000, B2 = 280000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

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

B1 = 4000 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

10²

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10³

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10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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