M2572243 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	23.1723	67.6471%	3200000	112000000	0.9180	8.0797%	24.0903	70.2611%	2.6140%
PrimeNet	2⁵⁹	0.0299	62.7119%	11000	200000	0.0021	2.6896%	0.0320	63.7148%	1.0029%
GPU72	2⁶³	0.6205	65.0794%	12000	190000	0.0022	1.5044%	0.6227	65.6047%	0.5253%
Difference	+5	+22.5519	+2.5677%	+3188000	+111810000	+0.9158	+6.5753%	+23.4677	+4.6564%	+4.6564%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2572243	15370484985052673941889	23	73.703	2987759124051008 2⁶ × 61 × 765307152677	2021-01-06	64	765307152677	1,450.0	4,193.5	7,832.3

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.237%
2003-11-08T00:00:00	Team Prime Rib	v4_computers	15000	202500		-		-	-	0.003	-	-	0.762%
2010-12-21T01:10:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.265%
2011-01-10T23:58:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.532%
2011-04-17T04:24:00	James Heinrich	WHS	175000	4112500		-		-	-	0.039	-	-	3.173%
2016-06-17T15:56:56	mikr	MSI	3200000	112000000	12	-		-	-	0.918	-	-	8.080%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.030	-	-
2016-02-23T16:29:16	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.030	-	-
2009-01-30T22:16:00	Sturle Sunde	scarpia.ifi	2⁶⁰	2⁶¹		-	-	0.060	-	-
2012-06-19T06:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.119	-	-
2013-01-23T08:30:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.382	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.763	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.453	-	-
2015-11-08T21:03:04	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.905	-	-
2017-08-20T12:59:32	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.810	-	-
2019-09-04T12:09:48	Yxinity	Manual testing	2⁶⁷	2⁶⁸		-	-	11.62	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.125 GHz-days
Estimated T-Level:	4.400

Digits	B1	Curves	Complete	FacMiss
20	11000	88 / 100	0.880	41.295%
25	50000	88 / 280	0.314	72.990%

New Calculation Method

Total ECM effort:	8.125 GHz-days
Estimated T-Level:	4.400

Digits	B1	Complete	FacMiss
20	11000	2.839	5.850%
25	50000	0.257	77.371%
30	250000	0.016	98.433%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		85	7.848
50000	5000000	15370484985052673941889	3	0.277

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-26T15:16:00	Aca Arsov	backo6400	50000	5000000						3	0.277
2010-05-13T16:01:00	James Classen	towerofart	50000	5000000						3	0.277
2012-10-19T10:57:00	Donna Noble	i3-2100t	50000	5000000						3	0.277
2014-04-26T12:31:00	Luis-M-Ferreira	m_1	50000	5000000						3	0.277
2015-08-17T22:33:00	lopper	4670	50000	5000000						3	0.277
2016-03-13T14:58:12	Jason U	Server7	50000	5000000						3	0.277
2016-08-03T14:43:04	lettp	Home	50000	5000000						3	0.277
2017-05-26T22:31:12	Bruce	eleven	50000	5000000						3	0.277
2017-10-06T04:22:13	Sebastian Hornbostel	V2	50000	5000000						3	0.277
2018-04-06T03:04:40	Bruce	eleven	50000	5000000						3	0.277
2019-01-05T15:16:30	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2020-06-24T01:32:40	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.277
2020-07-03T11:34:28	nordi	sweet16	50000	5000000						3	0.277
2020-07-09T09:12:44	Nesowa	6700T	50000	5000000						3	0.277
2020-07-15T04:17:49	GAN	LMS-16	50000	5000000						3	0.277
2020-07-21T10:43:39	GAN	LMS-12	50000	5000000						3	0.277
2020-07-27T21:11:22	GAN	LMS-01	50000	5000000						3	0.277
2020-08-04T05:57:54	GAN	LMS-02	50000	5000000						3	0.277
2020-08-12T05:50:46	GAN	LMS-12	50000	5000000						3	0.277
2020-09-01T15:24:50	M. R. Mayer	virga	50000	5000000						7	0.646
2020-10-08T06:16:58	LaurV	3tits	50000	5000000						7	0.646
2020-10-29T18:45:19	Albrecht Heeffer	R7-3800X	50000	5000000						7	0.646
2020-12-05T09:11:12	daveward2005	Dave2	50000	5000000						7	0.646
2021-01-06T19:40:01	daveward2005	Davy	50000	5000000	15370484985052673941889	73.703	3	2	8182246257794044	3	0.277

date	userid	compid	res64	spent (GHz-days)
1999-06-26T00:00:00	ANONYMOUS	v4_computers	58107FF72748F4D9	0.178
2018-06-17T01:39:07	kkmrkkblmbrbk	old	58107FF72748F4D9	0.178

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 = 3200000, B2 = 112000000 (P-1 stage 2)

B1 = 3200000 (P-1 stage 1)

B1 = 175000, B2 = 4112500 (P-1 stage 2)

B1 = 175000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 15000, B2 = 202500 (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)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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