M386 693 Mersenne number exponent details

is 2 ³⁸⁶⁶⁹³ - 1

has 116407 decimal digits

takes 0.004 GHz-days to do one PRP test

Exponent is not assigned to anyone

0 primality tests remaining

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	154.1400	72.0588%	73000000	2103141080040	1,611.6842	21.9142%	1,765.8243	78.1819%
Target	2⁴⁴	0.0000	56.8182%	7000	1000000	0.0009	12.7892%	0.0009	62.3408%
Difference	+24	+154.1400	+15.2406%	+72993000	+2103140080040	+1,611.6834	+9.1250%	+1,765.8234	+15.8411%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-11-10	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.001	-	-	1.260%
2002-06-15	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.462%
2002-08-24	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.114%
2012-07-25	alpertron	Manual testing	10000000	200000000		-		-	-	0.286	-	-	7.957%
2017-01-13	mikr	S061	60000000	3000000000	12	-		-	-	3.095	-	-	12.558%
2023-02-06	Jocelyn Larouche	Manual testing	1000000	28509731250		-		-	-	21.85	-	-	11.279%
2023-07-20	Joss	Joss	1000000	68245727550		-		-	-	52.28	-	-	12.165%
2023-07-31	JacobZ	PM1Server	73000000	2103141080040		-		-	-	1,612	-	-	21.914%

P+1 Factoring results:

date	userid	compid	b1	b2	start		digits	bits*	ghz-days
2022-12-26	masser	Manual testing	20000000	620000000	119	19	-	-	0.878
2022-12-27	masser	Manual testing	20000000	640000000	2	7	-	-	0.893
2023-01-04	masser	Manual testing	20000000	640000000	6	5	-	-	0.893

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-01	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.006	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.006	-	-
2001-03-17	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.025	-	-
2002-01-28	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.050	-	-
2004-01-18	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.099	-	-
2009-01-05	Sturle Sunde	ghibu.ifi	2⁵⁸	2⁵⁹		-	-	0.099	-	-
2009-01-09	Sturle Sunde	golli.ifi	2⁵⁹	2⁶⁰		-	-	0.199	-	-
2012-11-27	dbaugh	Manual testing	2⁶⁰	2⁶¹		-	-	0.397	-	-
2012-12-01	dbaugh	Manual testing	2⁶¹	2⁶²		-	-	0.794	-	-
2015-11-25	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	2.539	-	-
2015-11-25	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	5.077	-	-
2018-02-01	BloodERazor	Manual testing	2⁶⁴	2⁶⁵		-	-	9.66	-	-
2019-05-21	Gordon Spence	Manual testing	2⁶⁵	2⁶⁶		-	-	19.32	-	-
2022-03-13	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	38.65	-	-
2022-12-04	Gordon Spence	Manual testing	2⁶⁷	2⁶⁸		-	-	77.30	-	-

ECM factoring results:

Total ECM effort:	33.701 GHz-days
Estimated T-Level:	29.863

Digits	B1	Complete	FacMiss
20	11000	63.951	0.000%
25	50000	9.236	0.010%
30	250000	0.973	37.808%
35	1000000	0.080	92.311%
40	3000000	0.005	99.466%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	2.944
250000	25000000		585	30.76

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14	drew	messier	50000	5000000						1	0.011
2007-08-30	Chad Davis	Bayes	50000	5000000						1	0.011
2007-09-28	James Heinrich	WHS	50000	5000000						1	0.011
2008-01-02	Steve Scott		50000	5000000						1	0.011
2008-01-02	Steve Scott	Abit	50000	5000000						1	0.011
2008-01-02	Steve Scott		50000	5000000						1	0.011
2008-01-02	Steve Scott	Abit	50000	5000000						1	0.011
2008-03-17	Scott Kurowski	HomeOffice	50000	5000000						3	0.032
2008-09-14	Sturle Sunde	v23	50000	5000000						3	0.032
2008-10-29	Jayson King	atlas	50000	5000000						3	0.032
2008-12-07	Sturle Sunde	v22	50000	5000000						3	0.032
2009-02-02	Sturle Sunde	v23	50000	5000000						3	0.032
2009-03-05	Sturle Sunde	v21	50000	5000000						3	0.032
2009-03-31	Ryan Schulz	T7400	50000	5000000						3	0.032
2009-05-27	JPH	diablo	50000	5000000						3	0.032
2009-07-02	Architects Cubed	m1_64	50000	5000000						3	0.032
2009-07-09	Lackó	Iroda_Andras	50000	5000000						3	0.032
2009-07-26	Architects Cubed	m1_70	50000	5000000						3	0.032
2009-08-23	JimBa	CIT3srvr	50000	5000000						3	0.032
2009-09-15	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.032
2009-10-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-10-19	Sturle Sunde	TOR-ST-0027	50000	5000000						3	0.032
2009-10-29	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-11-09	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-11-21	David Bessell	G810	50000	5000000						3	0.032
2009-12-06	Sturle Sunde	PRE6S2CKN9ZD4EE	50000	5000000						3	0.032
2009-12-20	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2010-01-03	James Hintz	03_122109	50000	5000000						3	0.032
2010-01-16	Sturle Sunde	PRE6S33KN9ZE3B5	50000	5000000						3	0.032
2010-01-25	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-03	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2010-02-12	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2010-02-27	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-12	linded	KCPB8P0-NET214	50000	5000000						3	0.032
2010-03-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-13	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-18	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-30	Sturle Sunde	PRECZC44710WB	50000	5000000						3	0.032
2010-06-13	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-27	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-11	James Hintz	06_122109	50000	5000000						3	0.032
2010-07-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-21	James Hintz	06_122109	50000	5000000						3	0.032
2010-09-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-13	James Hintz	06_122109	50000	5000000						3	0.032
2010-09-22	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-03	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.032
2010-10-14	josibo	Ziben	50000	5000000						3	0.032
2010-10-22	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-11-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-11-09	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-11-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-03	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-12-10	Eric Christenson	HP_DC7900_SFF_PC	50000	5000000						3	0.032
2010-12-20	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-01-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-01-11	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-01-19	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-01-27	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-02-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-02-20	Carsten Kossendey	mother	50000	5000000						10	0.105
2011-03-17	James Hintz	06_122109	50000	5000000						3	0.032
2011-03-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-04-08	James Hintz	06_122109	50000	5000000						3	0.032
2011-04-19	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-05-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-14	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-24	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-06-03	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.032
2011-06-15	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-07-01	Carsten Kossendey	mother	50000	5000000						3	0.032
2011-07-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-08-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-08-22	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-09-28	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-11-22	Carsten Kossendey	mother	50000	5000000						10	0.105
2012-03-18	Sturle Sunde	TOR-ST-0036	50000	5000000						3	0.032
2012-05-02	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2012-05-15	TURKIYE TURKIYE TURKIYE	123	50000	5000000						3	0.032
2012-05-27	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-05-31	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-06-04	MadPoo	IntLAVH03	50000	5000000						3	0.032
2013-01-12	HVer	dell	50000	5000000						3	0.032
2013-02-02	Le Comte	S761	50000	5000000						22	0.231
2013-07-10	Sergiosi	Manual testing	250000	25000000						194	10.20
2019-04-13	alex	aws-m5dmetal	250000	25000000						391	20.56

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Marc Honey		C80B8945B660495F	0.004
2002-11-09	ANONYMOUS	v4_computers	C80B8945B660495F	0.004

PRP results:
No PRP results for M386693

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 = 73000000, B2 = 2103141080040 (P-1 stage 2)

B1 = 1000000, B2 = 68245727550 (P-1 stage 2)

B1 = 1000000, B2 = 28509731250 (P-1 stage 2)

B1 = 60000000, B2 = 3000000000 (P-1 stage 2)

B1 = 73000000 (P-1 stage 1)

B1 = 60000000 (P-1 stage 1)

B1 = 10000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

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

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

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

B1 = 65536 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁵

2⁵⁴

2⁵³

this exponent TF target: 44

TF double-checked to: 67.9

ECM T-Level=29.86 ~= 83-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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Last modified: 2023-10-02T12:12:48+00:00

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