M630 583 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁹	189.3276	71.0145%	52000000	739960221000	889.3027	19.6949%	1,078.6304	76.7231%
Target	2⁴⁴	0.0000	54.5455%	11000	3200000	0.0041	15.9019%	0.0041	61.7736%
Difference	+25	+189.3276	+16.4690%	+51989000	+739957021000	+889.2986	+3.7930%	+1,078.6263	+14.9496%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
630583	1773661863046027746210026410378995325328233417	46	150.313	1406366697996954997367536399156808322876 2² × 3 × 11 × 37 × 967 × 19139 × 61253 × 745189 × 5333683 × 63908143573	2022-09-30	5333683	63908143573	2.269e+11	76.824	143.28

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-12-31	Alex Kruppa	v4_computers	2000	40000		-		-	-	8.96776e-5	-	-	0.070%
2001-04-21	Alex Kruppa	v4_computers	100000	4000000		-		-	-	0.007	-	-	2.033%
2002-05-11	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	0.895%
2002-06-29	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.005	-	-	1.390%
2002-10-07	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.018%
2003-05-19	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	2.770%
2011-07-10	Jocelyn Larouche	Manual testing	362439	362439		-		-	-	0.008	-	-	1.141%
2011-09-05	Jocelyn Larouche	Manual testing	604065	604065		-		-	-	0.013	-	-	1.457%
2012-06-19	Jocelyn Larouche	Manual testing	630587	630587		-		-	-	0.014	-	-	1.486%
2012-08-01	Jocelyn Larouche	Manual testing	1261166	1261166		-		-	-	0.028	-	-	1.996%
2013-10-16	David Campeau	i5-2500k	1285000	41120000		-		-	-	0.076	-	-	4.972%
2015-11-12	Sid & Andy	Speck	6305830	189174900	12	-		-	-	0.358	-	-	7.415%
2022-09-30	masser	hwell	52000000	739960221000			1773661863046027746210026410378995325328233417	46	150.313	889.3	0.019	1,779	19.695%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-08-29	masser	Manual testing	5200000	223600000	2	7			-	-	0.422

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-01-04	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	-	-
2001-10-25	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.030	-	-
2003-11-08	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.061	-	-
2008-10-10	Sturle Sunde	buxtehude.ifi	2⁵⁸	2⁵⁹		-	-	0.061	-	-
2008-10-10	Sturle Sunde	buxtehude.ifi	2⁵⁹	2⁶⁰		-	-	0.122	-	-
2011-01-06	Sid & Andy	Toy_Soldier	2⁶⁰	2⁶¹		-	-	0.244	-	-
2015-06-06	lycorn	Manual testing	2⁶¹	2⁶²		-	-	0.487	-	-
2015-10-10	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.557	-	-
2015-10-10	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	3.113	-	-
2017-06-22	Smok_bmv	Manual testing	2⁶⁴	2⁶⁵		-	-	5.925	-	-
2017-07-17	Smok_bmv	Manual testing	2⁶⁵	2⁶⁶		-	-	11.85	-	-
2018-12-10	Smok_bmv	Manual testing	2⁶⁶	2⁶⁷		-	-	23.70	-	-
2018-12-10	Smok_bmv	Manual testing	2⁶⁷	2⁶⁸		-	-	47.40	-	-
2018-12-10	Smok_bmv	Manual testing	2⁶⁸	2⁶⁹		-	-	94.80	-	-

ECM factoring results:

Total ECM effort:	20.226 GHz-days
Estimated T-Level:	26.670

Digits	B1	Complete	FacMiss
20	11000	26.928	0.000%
25	50000	3.465	3.127%
30	250000	0.334	71.612%
35	1000000	0.026	97.452%
40	3000000	0.002	99.834%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	296	5.034
250000	25000000	127	10.80
250000	27500000	7	0.616
250000	28000000	7	0.620
250000	36750000	7	0.693
250000	38750000	14	1.419
250000	128992510	5	1.043

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-25	Chad Davis	Bayes	50000	5000000						1	0.017
2007-10-25	ANONYMOUS	minister	50000	5000000						1	0.017
2008-01-21	Team_Bundu	bundu1	50000	5000000						3	0.051
2008-09-13	Sturle Sunde	v21	50000	5000000						3	0.051
2008-11-27	Sturle Sunde	v21	50000	5000000						3	0.051
2009-02-14	Dalos Lee	dalosdesk	50000	5000000						3	0.051
2009-04-01	Ryan Schulz	T7400	50000	5000000						3	0.051
2009-07-01	Architects Cubed	m1_64	50000	5000000						3	0.051
2009-07-10	Architects Cubed	m1_50	50000	5000000						3	0.051
2009-08-29	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.051
2009-09-28	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-10-23	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.051
2009-11-11	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-12-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-12-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-01-19	Sturle Sunde	PRE6S2CKN9ZD4EE	50000	5000000						3	0.051
2010-02-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-02-21	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-03-16	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.051
2010-04-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-04-23	James Hintz	18_012210	50000	5000000						3	0.051
2010-05-11	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-06-05	James Hintz	06_122109	50000	5000000						3	0.051
2010-06-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-07-25	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-08-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-09-10	Sturle Sunde	000461A92481	50000	5000000						3	0.051
2010-09-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-10-15	sannerud.com	Jim2010	50000	5000000						3	0.051
2010-11-01	josibo	Ziben	50000	5000000						3	0.051
2010-11-18	josibo	Ziben	50000	5000000						3	0.051
2010-12-05	josibo	Ziben	50000	5000000						3	0.051
2010-12-20	Sturle Sunde	PRE6S23JYHZD1NR	50000	5000000						3	0.051
2011-01-09	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-01-22	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-02-08	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-02-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-08	Kamil_Górski	thefault	50000	5000000						3	0.051
2011-03-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-04-16	James Hintz	06_122109	50000	5000000						3	0.051
2011-05-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-06-09	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-07-07	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-07-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-08-04	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-09-12	Sturle Sunde	0020ED951D03	50000	5000000						3	0.051
2011-11-20	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-01-17	Sturle Sunde	TOR-ST-0038	50000	5000000						3	0.051
2012-03-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-05-28	Lackó	Iroda_Laci_uj	50000	5000000						3	0.051
2012-08-10	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.051
2012-10-14	Andriy Makukha	home-i5	50000	5000000						3	0.051
2013-09-18	lopper	Surface_staples	50000	5000000						3	0.051
2013-12-02	Bruce	bfc-ws	50000	5000000						3	0.051
2014-03-29	Bruce	snowflake	50000	5000000						3	0.051
2014-04-02	Bruce	snowflake	50000	5000000						3	0.051
2015-05-09	XZT	Tablet	50000	5000000						3	0.051
2015-10-16	Nacnud	Calculator	50000	5000000						3	0.051
2016-01-25	AaronK	QuartzPC	50000	5000000						3	0.051
2016-02-26	Obsidian	Ace	50000	5000000						3	0.051
2016-04-08	TJAOI	Manual testing	50000	5000000						14	0.238
2016-05-05	raman22feb1988	Manual testing	250000	128992510						5	1.043
2016-10-17	westicles	Manual testing	50000	5000000						53	0.901
2016-10-21	TJAOI	Manual testing	50000	5000000						53	0.901
2017-12-27	jafarism	jafarism-r02-18	250000	25000000						3	0.255
2018-11-04	Lord Del	Minor-Transgression	250000	25000000						3	0.255
2019-03-01	TJAOI	Manual testing	250000	25000000						30	2.551
2020-11-02	storm5510	7700_Kaby_Lake	250000	25000000						7	0.595
2020-12-09	monsted	rootweiler	250000	25000000						7	0.595
2020-12-25	Oliver Kruse	Krusen-NAS	250000	38750000						7	0.710
2021-01-15	Oliver Kruse	Krusen-NAS	250000	38750000						7	0.710
2021-01-31	GAN	N-32	250000	25000000						7	0.595
2021-02-07	GAN	N-28	250000	25000000						7	0.595
2021-02-13	GAN	N-22	250000	25000000						7	0.595
2021-03-07	monsted	rootweiler	250000	25000000						7	0.595
2021-03-17	chauvet_p		250000	25000000						7	0.595
2021-04-13	ANONYMOUS	LINUX-Felicia	250000	25000000						7	0.595
2021-04-28	skysoul		250000	25000000						7	0.595
2021-05-23	John Dalbec	s3ndiNthekl0wnz	250000	25000000						7	0.595
2021-05-27	monsted	rootweiler	250000	25000000						7	0.595
2021-11-03	TSRPrime	TSRLoftus	250000	25000000						7	0.595
2021-11-19	Oliver Kruse	Krusen-NAS	250000	36750000						7	0.693
2021-12-03	mnd9	75203	250000	25000000						7	0.595
2022-02-13	zlmrfi		250000	27500000						7	0.616
2022-06-20	Mileh		250000	28000000						7	0.620

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Sergio Filippini		3412319AB0CEC4ED	0.010
2015-04-11	MadPoo	Manual testing	3412319AB0CEC4ED	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 = 52000000, B2 = 739960221000 (P-1 stage 2)

B1 = 52000000 (P-1 stage 1)

B1 = 6305830, B2 = 189174900 (P-1 stage 2)

B1 = 6305830 (P-1 stage 1)

B1 = 1285000, B2 = 41120000 (P-1 stage 2)

B1 = 1285000 (P-1 stage 1)

B1 = 1261166 (P-1 stage 1)

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

B1 = 630587 (P-1 stage 1)

B1 = 604065 (P-1 stage 1)

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

B1 = 362439 (P-1 stage 1)

B1 = 100000, B2 = 4000000 (P-1 stage 2)

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

B1 = 131072 (P-1 stage 1)

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

B1 = 100000 (P-1 stage 1)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 40000 (P-1 stage 2)

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