M573 851 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	51.7798	70.1493 %	10000000	250000000	0.4880	9.2093 %	52.2678	72.8983 %
Target	2⁴⁴	0.0000	54.5455 %	10000	1700000	0.0022	15.2088 %	0.0022	61.4585 %
Difference	+23	+51.7798	+15.6038 %	+9990000	+248300000	+0.4858	-5.9995 %	+52.2656	+11.4398 %

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
573851	1544960751860681271073683793	28	90.320	1346134059068191282296 2³ × 3³ × 11 × 29 × 372497 × 52447054067	2020-11-08	372497	52447054067	599,244,147	60.431	112.85

date	user	comp	B1	B2	BS	digits	bits*	GHz-days	Fac Prob
2001-12-22	ANONYMOUS	v4_computers	2000	200000		-	-	0.000	11.321%
2002-01-22	ANONYMOUS	v4_computers	4096	409600		-	-	0.001	14.201%
2002-03-03	ANONYMOUS	v4_computers	8192	819200		-	-	0.001	16.969%
2002-04-28	ANONYMOUS	v4_computers	16384	1638400		-	-	0.002	19.705%
2002-05-11	ANONYMOUS	v4_computers	50000	1000000		-	-	0.002	19.714%
2002-06-29	ANONYMOUS	v4_computers	32768	3276800	12	-	-	0.004	22.401%
2002-09-14	ANONYMOUS	v4_computers	65536	6553600	12	-	-	0.009	25.051%
2003-05-19	ANONYMOUS	v4_computers	131072	13107200	12	-	-	0.018	27.647%
2011-07-01	Joss	Manual testing	409564	409564		-	-	0.009	17.031%
2011-08-24	Joss	Manual testing	682607	682607		-	-	0.014	18.605%
2012-03-05	Joss	Manual testing	853259	853259		-	-	0.018	19.291%
2013-09-27	David Campeau	i5-2500k	1040000	32240000	12	-	-	0.058	31.597%
2014-02-09	c10ck3r	Manual testing	10000000	250000000	12	-	-	0.488	38.170%

	Bits	Factor
date	userid	compid	from	to	factor	bits*	digits	GHz-days
2000-04-05	ANONYMOUS	v4_computers	2¹	2⁵⁴				0.004
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵				0.004
2001-04-08	ANONYMOUS	v4_computers	2¹	2⁵⁶				0.017
2002-01-15	ANONYMOUS	v4_computers	2¹	2⁵⁷				0.033
2003-11-28	ANONYMOUS	v4_computers	2¹	2⁵⁸				0.067
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶¹				0.468
2015-07-12	NR	Manual testing	2⁶¹	2⁶²				0.535
2015-09-17	Gordon Spence	Manual testing	2⁶²	2⁶⁴				5.132
2017-11-16	BloodERazor	Manual testing	2⁶⁴	2⁶⁵				6.511
2018-06-04	chuenkit	Manual testing	2⁶⁵	2⁶⁶				13.02
2020-03-06	Yxinity	Manual testing	2⁶⁶	2⁶⁷				26.04

ECM factoring results:

Total ECM effort:	16.429 GHz-days
Estimated T-Level:	26.432

Digits	B1	Complete	FacMiss
20	11000	24.792	0.000%
25	50000	3.075	4.620%
30	250000	0.286	75.099%
35	1000000	0.022	97.866%
40	3000000	0.001	99.864%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		317	4.914
250000	25000000		115	9.55
250000	25000000	1544960751860681271073683793	6	0.486
250000	35000000		16	1.476

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2021-05-28	TJAOI	Manual testing	250000	35000000						16	1.476
2020-11-08	storm5510	W3565_Bloomfield	250000	25000000	1544960751860681271073683793	90.320	6	2	3382465195143985	6	0.486
2020-10-24	monsted	rootweiler	250000	25000000						7	0.591
2020-09-29	monsted	rootweiler	250000	25000000						7	0.591
2020-09-05	monsted	rootweiler	250000	25000000						7	0.591
2020-08-08	monsted	rootweiler	250000	25000000						3	0.253
2020-07-22	monsted	rootweiler	250000	25000000						3	0.253
2020-07-07	monsted	rootweiler	250000	25000000						3	0.253
2020-06-22	monsted	rootweiler	250000	25000000						3	0.253
2020-05-24	monsted	rootweiler	250000	25000000						3	0.253
2020-05-09	monsted	rootweiler	250000	25000000						3	0.253
2020-04-26	cappy95833	Workaholic	250000	25000000						3	0.243
2020-04-16	monsted	rootweiler	250000	25000000						3	0.253
2020-04-04	monsted	rootweiler	250000	25000000						3	0.253
2020-03-24	TSRPrime	TSRLoftus	250000	25000000						3	0.243
2020-03-14	monsted	rootweiler	250000	25000000						3	0.253
2020-02-10	cappy95833	Workaholic	250000	25000000						3	0.243
2020-02-06	monsted	rootweiler	250000	25000000						3	0.253
2020-02-02	Hugemon	BeastGamer2	250000	25000000						3	0.243
2020-01-26	monsted	rootweiler	250000	25000000						3	0.253
2020-01-16	monsted	rootweiler	250000	25000000						3	0.253
2020-01-09	monsted	rootweiler	250000	25000000						3	0.253
2020-01-02	monsted	rootweiler	250000	25000000						3	0.253
2018-08-17	TJAOI	Manual testing	250000	25000000						25	2.026
2018-05-27	wolcit	wolcit	250000	25000000						3	0.243
2017-11-19	bam	Desk9	250000	25000000						3	0.253
2017-11-09	reclux	jafarism-r02-18	250000	25000000						3	0.243
2017-03-29	bam	Desk9	250000	25000000						3	0.253
2017-01-17	ANONYMOUS	C272CE75B	250000	25000000						3	0.243
2016-09-30	TJAOI	Manual testing	50000	5000000						82	1.329
2016-09-18	ANONYMOUS	C272CE75B	50000	5000000						3	0.049
2016-09-10	ANONYMOUS	Blaze123	50000	5000000						3	0.049
2016-08-28	ANONYMOUS	Blaze123	50000	5000000						3	0.049
2016-08-09	ANONYMOUS	C272CE75B	50000	5000000						3	0.049
2016-07-16	RobLP96	Ace	50000	5000000						3	0.049
2016-07-09	Bruce J. Wilder	VIPER	50000	5000000						3	0.049
2016-06-25	bayanne	iMac	50000	5000000						3	0.049
2016-06-16	bayanne	iMac	50000	5000000						3	0.049
2016-06-11	RobLP96	Ace	50000	5000000						3	0.049
2016-06-03	L_Ferreira	m_1	50000	5000000						3	0.049
2016-05-28	RobLP96	Ace	50000	5000000						3	0.049
2016-05-22	Bruce J. Wilder	VIPER	50000	5000000						3	0.049
2016-05-08	RobLP96	Ace	50000	5000000						3	0.049
2016-04-08	TJAOI	Manual testing	50000	5000000						2	0.032
2016-03-27	lettp	Home	50000	5000000						3	0.049
2016-01-22	turbine	jameshy.de	50000	5000000						3	0.049
2015-10-15	Nacnud	Calculator	50000	5000000						3	0.049
2015-05-15	Nacnud	Calculator	50000	5000000						3	0.049
2014-04-02	bam	snowflake	50000	5000000						3	0.049
2014-03-30	bam	snowflake	50000	5000000						3	0.049
2013-12-26	bam	bfc-ws	50000	5000000						3	0.049
2013-11-27	bam	bfc-ws	50000	5000000						3	0.049
2013-03-30	Sturle Sunde	PRE6S33KN9ZE3KY	50000	5000000						3	0.049
2012-09-16	Andriy Makukha	home-i5	50000	5000000						3	0.049
2012-07-12	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.049
2012-05-04	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.049
2012-03-03	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.049
2012-01-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-11-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-10-02	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-08-15	Lukasz Wrobel	w-l	50000	5000000						3	0.049
2011-07-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-06-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-06-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-05-19	Sturle Sunde	PRE6S23JYHZD1NR	50000	5000000						3	0.049
2011-05-02	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-04-12	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-03-29	Sturle Sunde	PRE6S32KN9Z73PR	50000	5000000						3	0.049
2011-03-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-03-10	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-02-26	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-02-14	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.049
2011-01-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-01-19	James Hintz	06_122109	50000	5000000						3	0.049
2011-01-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-12-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-11-17	James Hintz	06_122109	50000	5000000						3	0.049
2010-11-03	James Hintz	06_122109	50000	5000000						3	0.042
2010-10-17	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-10-02	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.042
2010-09-15	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-08-30	sannerud.com	Jim2010	50000	5000000						3	0.042
2010-08-06	josibo	ziben	50000	5000000						3	0.042
2010-07-12	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-06-15	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-05-29	James Hintz	06_122109	50000	5000000						3	0.042
2010-05-26	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-04-21	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-04-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-03-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-02-27	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-02-08	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-01-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2010-01-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2009-12-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2009-11-27	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2009-11-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2009-10-23	linded	KCPB8P0-NET214	50000	5000000						3	0.042
2009-09-28	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2009-09-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.042
2009-07-18	James Hintz	jeff2	50000	5000000						3	0.042
2009-07-03	Architects Cubed	m1_44	50000	5000000						3	0.042
2009-05-11	JPH	diablo	50000	5000000						3	0.042
2009-03-09	Sturle Sunde	v22	50000	5000000						3	0.042
2009-01-12	Sturle Sunde	v23	50000	5000000						3	0.042
2008-11-03	Sturle Sunde	v22	50000	5000000						3	0.042
2008-08-28	Sturle Sunde	v22	50000	5000000						3	0.042
2008-01-16	Sturle Sunde	minister	50000	5000000						3	0.042
2007-10-02	Chad Davis	Bayes	50000	5000000						1	0.014
2007-08-21	drew	messier	50000	5000000						1	0.014

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

date	userid	compid
2020-11-10	curtisc	wcm201--19l
2020-11-20	PED	KATLA