M658 591 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁹	181.2761	71.0145%	49000000	698522424600	839.4999	19.6066%	1,020.7760	76.6976%
Target	2⁴⁴	0.0000	54.5455%	11000	2000000	0.0026	15.9828%	0.0026	61.8104%
Difference	+25	+181.2761	+16.4690%	+48989000	+698520424600	+839.4973	+3.6238%	+1,020.7733	+14.8872%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
658591	541108925149182849342321453589970204569	39	128.669	410808016773067692499837876307124 2² × 3² × 1201 × 11069 × 1277651 × 40073167 × 16765600333	2022-10-13	40073167	16765600333	2.575e+11	20.960	37.587

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-02	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.123%
2002-01-22	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.281%
2002-03-10	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.001	-	-	0.533%
2002-05-05	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	0.903%
2002-07-14	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.005	-	-	1.401%
2002-10-12	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.032%
2003-06-06	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	2.788%
2011-07-12	Jocelyn Larouche	Manual testing	342581	342581		-		-	-	0.008	-	-	1.117%
2011-09-11	Jocelyn Larouche	Manual testing	570969	570969		-		-	-	0.013	-	-	1.429%
2012-06-19	Jocelyn Larouche	Manual testing	658633	658633		-		-	-	0.015	-	-	1.525%
2012-08-01	Jocelyn Larouche	Manual testing	1317182	1317182		-		-	-	0.029	-	-	2.043%
2013-10-24	David Campeau	i5-2500k	1370000	43840000		-		-	-	0.081	-	-	5.090%
2015-11-15	Sid & Andy	Bullseye	6585910	197577300	12	-		-	-	0.374	-	-	7.520%
2022-01-22	LordJulius	WhiteBox_v308	10000000	147195198150		-		-	-	176.9	-	-	15.840%
2022-10-13	masser	Manual testing	49000000	698522424600			541108925149182849342321453589970204569	39	128.669	839.5	0.020	1,679	19.607%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-09-03	masser	Manual testing	4900000	210700000	2	7			-	-	0.406

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-01-25	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.002	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.004	-	-
2001-04-15	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.015	-	-
2001-12-22	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.029	-	-
2003-10-23	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.058	-	-
2008-10-12	Sturle Sunde	doak.ifi	2⁵⁸	2⁵⁹		-	-	0.058	-	-
2008-10-12	Sturle Sunde	doak.ifi	2⁵⁹	2⁶⁰		-	-	0.117	-	-
2011-01-26	Sid & Andy	Toy_Soldier_2	2⁶⁰	2⁶¹		-	-	0.233	-	-
2015-05-29	lycorn	Manual testing	2⁶¹	2⁶²		-	-	0.466	-	-
2015-10-30	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.491	-	-
2015-10-30	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	2.981	-	-
2017-06-28	Smok_bmv	Manual testing	2⁶⁴	2⁶⁵		-	-	5.673	-	-
2017-07-31	Smok_bmv	Manual testing	2⁶⁵	2⁶⁶		-	-	11.35	-	-
2020-01-08	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	22.69	-	-
2022-02-27	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	45.39	-	-
2022-02-27	LordJulius	Manual testing	2⁶⁸	2⁶⁹		-	-	90.77	-	-

ECM factoring results:

Total ECM effort:	17.099 GHz-days
Estimated T-Level:	26.433

Digits	B1	Complete	FacMiss
20	11000	23.871	0.000%
25	50000	3.023	4.865%
30	250000	0.287	75.085%
35	1000000	0.022	97.835%
40	3000000	0.001	99.860%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	4.796
250000	25000000	136	11.61
250000	36750000	7	0.696

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-26	Chad Davis	Bayes	50000	5000000						1	0.017
2007-11-10	Chad Davis	Bayes	50000	5000000						1	0.017
2008-01-25	Steve Scott	Abit-2	50000	5000000						3	0.051
2008-09-18	Sturle Sunde	v23	50000	5000000						3	0.051
2008-12-03	Jayson King	atlas	50000	5000000						3	0.051
2009-02-24	Dalos Lee	dalosdesk	50000	5000000						3	0.051
2009-04-18	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.051
2009-07-06	Architects Cubed	m1_41	50000	5000000						3	0.051
2009-07-26	Architects Cubed	m1_55	50000	5000000						3	0.051
2009-09-11	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-11-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-11-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-12-12	Sturle Sunde	FLB-ST-0038	50000	5000000						3	0.051
2009-12-17	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-01-10	James Hintz	03_122109	50000	5000000						3	0.051
2010-01-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-02-14	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-03-11	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-03-30	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.051
2010-04-20	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-05-31	Sturle Sunde	PRE6S24JYHZX4PA	50000	5000000						3	0.051
2010-05-31	James Hintz	06_122109	50000	5000000						3	0.051
2010-07-10	James Hintz	06_122109	50000	5000000						3	0.051
2010-07-27	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.051
2010-09-13	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-10-03	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.051
2010-10-20	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.051
2010-10-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-11-05	josibo	Ziben	50000	5000000						3	0.051
2010-11-26	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-12-10	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-12-30	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-01-26	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-02-08	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-02-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-04-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-05-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-05-21	Sturle Sunde	TOR-ST-0035	50000	5000000						3	0.051
2011-06-07	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-07-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-08-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-09-13	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-11-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-01-22	Sturle Sunde	EIK-ST-1008	50000	5000000						3	0.051
2012-03-12	Sturle Sunde	TOR-ST-0041	50000	5000000						3	0.051
2012-06-02	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.051
2012-08-27	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.051
2013-02-03	Olli Heikkilä		50000	5000000						3	0.051
2013-10-02	lopper	Surface_staples	50000	5000000						3	0.051
2014-03-29	Bruce	snowflake	50000	5000000						3	0.051
2014-03-30	Bruce	snowflake	50000	5000000						3	0.051
2014-10-07	LordJulius	Kitty	50000	5000000						3	0.051
2015-09-03	Nacnud	Calculator	50000	5000000						3	0.051
2015-12-14	Nacnud	Calculator	50000	5000000						3	0.051
2016-02-12	Sintax	cloud2	50000	5000000						3	0.051
2016-03-27	lettp	Home	50000	5000000						3	0.051
2016-04-15	TJAOI	Manual testing	50000	5000000						23	0.393
2016-08-19	ANONYMOUS	C272CE75B	50000	5000000						3	0.051
2016-09-03	Gnorfe	_1557_old	50000	5000000						3	0.051
2016-09-14	Obsidian	Ace	50000	5000000						3	0.051
2016-10-01	Gnorfe	_1557_old	50000	5000000						3	0.051
2016-10-10	westicles	Manual testing	50000	5000000						76	1.297
2017-01-30	Oussama Kiamouche	Home	250000	25000000						3	0.256
2017-06-02	jafarism	jafarism-r02-18	250000	25000000						3	0.256
2017-11-13	Bruce	Desk9	250000	25000000						3	0.256
2018-09-30	storm5510	HP-Z220-CMT	250000	25000000						3	0.256
2019-03-08	OS1	Tina	250000	25000000						3	0.256
2019-05-08	vnatin	SRV1	250000	25000000						3	0.256
2019-05-19	vnatin	hp-i5	250000	25000000						3	0.256
2019-06-10	OS1	Tina	250000	25000000						3	0.256
2019-06-21	TJAOI	Manual testing	250000	25000000						35	2.987
2021-01-29	monsted	rootweiler	250000	25000000						7	0.597
2021-02-12	GAN	N-34	250000	25000000						7	0.597
2021-03-03	monsted	rootweiler	250000	25000000						7	0.597
2021-04-24	Elgh	RyzenM	250000	25000000						7	0.597
2021-05-21	John Dalbec	s3ndiNthekl0wnz	250000	25000000						7	0.597
2021-06-15	RoomHeating	SpaceHeater	250000	25000000						7	0.597
2021-07-21	monsted	rootweiler	250000	25000000						7	0.597
2021-09-09	-Anonymous-		250000	25000000						7	0.597
2021-10-19	mnd9	75203	250000	25000000						7	0.597
2021-12-21	mnd9	75203	250000	25000000						7	0.597
2022-01-07	Oliver Kruse	Krusen-NAS	250000	36750000						7	0.696
2022-06-05	TSRPrime	TSRLoftus	250000	25000000						7	0.597

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Steve Sommars		835FF2C211179D9D	0.010
2002-07-27	ANONYMOUS	v4_computers	835FF2C211179D9D	0.010
2015-04-11	MadPoo	Manual testing	835FF2C211179D9D	0.010

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 = 49000000, B2 = 698522424600 (P-1 stage 2)

B1 = 10000000, B2 = 147195198150 (P-1 stage 2)

B1 = 49000000 (P-1 stage 1)

B1 = 6585910, B2 = 197577300 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 6585910 (P-1 stage 1)

B1 = 1370000, B2 = 43840000 (P-1 stage 2)

B1 = 1370000 (P-1 stage 1)

B1 = 1317182 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 658633 (P-1 stage 1)

B1 = 570969 (P-1 stage 1)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 342581 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 65536 (P-1 stage 1)

B1 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 32768 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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