M589481 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	101.1142	70.5882%	2006084	10092332250	12.1562	11.5506%	113.2704	73.9855%
Target	2⁴⁴	0.0000	54.5455%	10000	340000	0.0006	15.2579%	0.0006	61.4809%
Difference	+24	+101.1142	+16.0428%	+1996084	+10091992250	+12.1556	-3.7073%	+113.2698	+12.5046%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
589481	463743877644412078696327229039	30	98.549	393349300184749023883999 7² × 11 × 31 × 977 × 699709 × 34436253727	2022-12-05	699709	34436253727	1.942e+11	41.351	77.204

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-22	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.149%
2002-01-22	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.332%
2002-03-10	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.001	-	-	0.618%
2002-04-28	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	1.030%
2002-05-11	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.002	-	-	1.357%
2002-07-06	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.005	-	-	1.578%
2002-09-22	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.263%
2003-06-01	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	3.074%
2011-07-10	Jocelyn Larouche	Manual testing	395539	395539		-		-	-	0.009	-	-	1.335%
2011-08-24	Jocelyn Larouche	Manual testing	659232	659232		-		-	-	0.015	-	-	1.688%
2012-03-05	Jocelyn Larouche	Manual testing	824041	824041		-		-	-	0.018	-	-	1.857%
2012-07-21	Jocelyn Larouche	Manual testing	1178962	1178962		-		-	-	0.026	-	-	2.149%
2013-10-17	David Campeau	i5-2500k	1245000	39840000		-		-	-	0.074	-	-	5.356%
2015-10-22	Bruno Victal	5820K-linux	1600000	66000000	12	-		-	-	0.113	-	-	5.997%
2015-11-15	Sid & Andy	Bullseye	5894810	176844300	12	-		-	-	0.335	-	-	7.853%
2019-05-09	alex	laptop	10000000	400000000	12	-		-	-	0.688	-	-	9.175%
2022-11-22	Jocelyn Larouche	Manual testing	2006084	10092332250		-		-	-	12.16	-	-	11.551%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-12-01	masser	Manual testing	4000000	168000000	100	17			-	-	0.314
2022-12-05	masser	Manual testing	8000000	384000000	6	5	463743877644412078696327229039	P+1	30	98.549	0.682
2022-12-09	masser	Manual testing	16000000	816000000	2	7	463743877644412078696327229039	P+1	30	98.549	1.418

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2000-04-12	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.004	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.004	-	-
2001-04-15	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.016	-	-
2002-01-08	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.033	-	-
2003-11-16	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.065	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.195	-	-
2016-02-23	Mark Rose	Manual testing	2⁶⁰	2⁶¹		-	-	0.261	-	-
2015-07-13	NR	Manual testing	2⁶¹	2⁶²		-	-	0.521	-	-
2015-09-08	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.665	-	-
2015-09-08	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	3.331	-	-
2017-11-15	BloodERazor	Manual testing	2⁶⁴	2⁶⁵		-	-	6.338	-	-
2018-06-04	chuenkit	Manual testing	2⁶⁵	2⁶⁶		-	-	12.68	-	-
2020-02-11	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	25.35	-	-
2022-04-08	Gordon Spence	Manual testing	2⁶⁷	2⁶⁸		-	-	50.71	-	-

ECM factoring results:

Total ECM effort:	24.285 GHz-days
Estimated T-Level:	27.069

Digits	B1	Complete	FacMiss
20	11000	33.465	0.000%
25	50000	4.309	1.345%
30	250000	0.414	66.119%
35	1000000	0.032	96.860%
40	3000000	0.002	99.795%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	369	6.243
250000	25000000	191	16.16
250000	29000000	14	1.250
250000	30250000	7	0.635

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-22	Team_Bundu	bundu1	50000	5000000						1	0.017
2007-10-06	ANONYMOUS	minister	50000	5000000						1	0.017
2008-01-16	Steve Scott	Gigabyte-2	50000	5000000						3	0.051
2008-09-04	Sturle Sunde	v17	50000	5000000						3	0.051
2008-11-11	Sturle Sunde	v23	50000	5000000						3	0.051
2009-01-21	Sturle Sunde	v21	50000	5000000						3	0.051
2009-03-15	Sturle Sunde	v22	50000	5000000						3	0.051
2009-05-26	JPH	diablo	50000	5000000						3	0.051
2009-07-07	linded	KCPB8P0-NET214	50000	5000000						3	0.051
2009-07-26	Architects Cubed	m1_18	50000	5000000						3	0.051
2009-09-09	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-10-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-10-27	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-11-14	Sturle Sunde	FLB-ST-0037	50000	5000000						3	0.051
2009-12-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-12-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-01-18	James Hintz	11_122109	50000	5000000						3	0.051
2010-02-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-02-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-03-10	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-03-27	Sturle Sunde	TOR-ST-0027	50000	5000000						3	0.051
2010-04-14	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-05-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-05-20	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-06-09	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-07-02	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-08-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-09-11	sannerud.com	Jim2010	50000	5000000						3	0.051
2010-09-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-10-15	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.051
2010-10-25	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-10-30	Sturle Sunde	0020ED73D00C	50000	5000000						3	0.051
2010-11-17	Beat Bucheli	I7	50000	5000000						3	0.051
2010-12-02	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-12-18	Sara	1	50000	5000000						3	0.051
2011-01-02	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-01-16	Damian Silvestre	PcMa	50000	5000000						3	0.051
2011-01-30	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-02-15	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-02-28	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-03-12	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-26	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-04-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-05-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-05-23	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.051
2011-06-07	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-07-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-07-30	Netanias	NCS2009Fermat	50000	5000000						3	0.051
2011-08-27	Sturle Sunde	PRE6S33KN9ZE3KY	50000	5000000						3	0.051
2011-10-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-12-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-02-11	Sturle Sunde	v3	50000	5000000						3	0.051
2012-03-25	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.051
2012-06-11	Lukasz Wrobel	v7	50000	5000000						3	0.051
2012-08-28	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2013-01-04	Lackó	Iroda_Laci_uj	50000	5000000						3	0.051
2013-09-23	lopper	Surface_staples	50000	5000000						3	0.051
2013-12-03	Bruce	bfc-ws	50000	5000000						3	0.051
2014-03-29	Bruce	snowflake	50000	5000000						3	0.051
2014-04-01	Bruce	snowflake	50000	5000000						3	0.051
2015-02-21	Bruce	desk16	50000	5000000						3	0.051
2015-09-24	Nacnud	Calculator	50000	5000000						3	0.051
2015-12-30	Nacnud	Calculator	50000	5000000						3	0.051
2016-02-11	Sintax	cloud2	50000	5000000						3	0.051
2016-03-27	lettp	Home	50000	5000000						3	0.051
2016-04-01	TJAOI	Manual testing	50000	5000000						8	0.135
2016-06-03	L_Ferreira	m_1	50000	5000000						3	0.051
2016-06-10	ANONYMOUS	Blaze123	50000	5000000						3	0.051
2016-06-18	Obsidian	Ace	50000	5000000						3	0.051
2016-06-26	ANONYMOUS	Blaze123	50000	5000000						3	0.051
2016-07-04	ANONYMOUS	C272CE75B	50000	5000000						3	0.051
2016-07-22	Bruce J. Wilder	VIPER	50000	5000000						3	0.051
2016-08-12	Obsidian	Ace	50000	5000000						3	0.051
2016-09-05	Bruce J. Wilder	VIPER	50000	5000000						3	0.051
2016-09-09	Oussama Kiamouche	Home	50000	5000000						3	0.051
2016-09-21	Oussama Kiamouche	Home	50000	5000000						3	0.051
2016-10-05	ANONYMOUS	C272CE75B	50000	5000000						3	0.051
2016-10-19	Gnorfe	_1557_old	50000	5000000						3	0.051
2016-10-23	Oussama Kiamouche	Home	50000	5000000						3	0.051
2016-10-24	ANONYMOUS	_isor_1530	50000	5000000						3	0.051
2016-10-24	westicles	Manual testing	50000	5000000						46	0.778
2016-12-09	TJAOI	Manual testing	50000	5000000						82	1.387
2018-07-14	Lapinlampi	Pavilion	250000	25000000						3	0.254
2019-03-09	Lord Del	Minor-Transgression	250000	25000000						3	0.254
2019-05-03	TJAOI	Manual testing	250000	25000000						26	2.199
2020-03-13	monsted	rootweiler	250000	25000000						3	0.254
2020-03-24	cappy95833	Workaholic	250000	25000000						3	0.254
2020-04-03	monsted	rootweiler	250000	25000000						3	0.254
2020-04-15	monsted	rootweiler	250000	25000000						3	0.254
2020-04-25	cappy95833	Workaholic	250000	25000000						3	0.254
2020-05-08	monsted	rootweiler	250000	25000000						3	0.254
2020-05-29	Sparky70	Thinkpad_600X	250000	25000000						3	0.254
2020-06-21	monsted	rootweiler	250000	25000000						3	0.254
2020-07-21	monsted	rootweiler	250000	25000000						3	0.254
2020-07-24	Gordon Wood	hotrod	250000	25000000						3	0.254
2020-08-07	monsted	rootweiler	250000	25000000						3	0.254
2020-09-03	monsted	rootweiler	250000	25000000						7	0.592
2020-09-27	monsted	rootweiler	250000	25000000						7	0.592
2020-10-22	monsted	rootweiler	250000	25000000						7	0.592
2020-11-07	storm5510	3570_Ivy_Bridge	250000	25000000						7	0.592
2021-01-08	GAN	N-27	250000	25000000						7	0.592
2021-01-21	monsted	rootweiler	250000	25000000						7	0.592
2021-01-25	GAN	N-29	250000	25000000						7	0.592
2021-02-06	monsted	rootweiler	250000	25000000						7	0.592
2021-03-09	monsted	rootweiler	250000	25000000						7	0.592
2021-04-17	ANONYMOUS	LINUX-Felicia	250000	25000000						7	0.592
2021-04-19	GAN	N-25	250000	25000000						7	0.592
2021-05-03	monsted	rootweiler	250000	25000000						7	0.592
2021-05-10	monsted	rootweiler	250000	25000000						7	0.592
2021-06-02	RoomHeating	SpaceHeater	250000	25000000						7	0.592
2022-01-20	Corey	tab	250000	25000000						7	0.592
2022-03-19	storm5510	E5-1620	250000	25000000						7	0.592
2022-03-15	onlinegame	Manual testing	250000	29000000						7	0.625
2022-03-27	Alex Bozich	mac	250000	29000000						7	0.625
2022-05-23	storm5510	1620XE	250000	25000000						7	0.592
2022-07-19	arnaud	ATTAX04	250000	25000000						7	0.592
2022-09-30	ANONYMOUS		250000	30250000						7	0.635

date	userid	compid	res64	spent (GHz-days)
2015-04-11	MadPoo	Manual testing	FFC11518C1238DDB	0.009

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 = 2006084, B2 = 10092332250 (P-1 stage 2)

B1 = 16000000, B2 = 816000000 (P+1 stage 2)

B1 = 10000000, B2 = 400000000 (P-1 stage 2)

B1 = 8000000, B2 = 384000000 (P+1 stage 2)

B1 = 16000000 (P+1 stage 1)

B1 = 5894810, B2 = 176844300 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 8000000 (P+1 stage 1)

B1 = 5894810 (P-1 stage 1)

B1 = 1600000, B2 = 66000000 (P-1 stage 2)

B1 = 1245000, B2 = 39840000 (P-1 stage 2)

B1 = 2006084 (P-1 stage 1)

B1 = 1600000 (P-1 stage 1)

B1 = 1245000 (P-1 stage 1)

B1 = 1178962 (P-1 stage 1)

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

B1 = 824041 (P-1 stage 1)

B1 = 659232 (P-1 stage 1)

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

B1 = 395539 (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 = 50000, B2 = 1000000 (P-1 stage 2)

B1 = 65536 (P-1 stage 1)

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

B1 = 50000 (P-1 stage 1)

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

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