M929 129 Mersenne number exponent details

≡

M929129

<<<

>>>

is 2 ⁹²⁹¹²⁹ - 1

has 279696 decimal digits

takes 0.023 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

factored, 0 LL tests remaining

	Residue	Status
L-L	B7529319F037D51C	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	64.1513	70.5882%	50000000	1263691439010	2,422.5792	21.8812%	2,486.7306	77.0239%
Target	2⁴⁴	0.0000	54.5455%	15000	3000000	0.0062	18.0487%	0.0062	62.7494%
Difference	+24	+64.1513	+16.0428%	+49985000	+1263688439010	+2,422.5730	+3.8325%	+2,486.7243	+14.2745%

Known prime factors (1 factor, 112.9 bits, 0.01215095% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
929129	9676049990412575449669824790475903	34	112.898	5207054128335556983836380519 5207054128335556983836380519	2022-11-27	1	5207054128335556983836380519	2.031e+11	9.975e+18	1.863e+19

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-08	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.171%
2002-02-24	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.373%
2002-04-28	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.685%
2002-05-18	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.004	-	-	1.128%
2002-07-20	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.007	-	-	1.712%
2002-12-31	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.015	-	-	2.433%
2003-09-09	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.029	-	-	3.282%
2011-06-02	Jocelyn Larouche	Manual testing	200000	200000		-		-	-	0.007	-	-	1.018%
2011-07-13	Jocelyn Larouche	Manual testing	219267	219267		-		-	-	0.008	-	-	1.069%
2011-10-31	Jocelyn Larouche	Manual testing	730891	730891		-		-	-	0.026	-	-	1.887%
2013-10-11	David Campeau	i5-2500k	960000	24960000		-		-	-	0.080	-	-	5.040%
2014-01-15	alpertron	Manual testing	10000000	500000000		-		-	-	1.290	-	-	9.848%
2022-08-10	axn	Manual testing	50000000	1263691439010		-		-	-	2,423	-	-	21.881%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2022-11-22	masser	Manual testing	2000000	72000000	104	29			-	-	0.238
2022-11-27	masser	Manual testing	4000000	172000000	6	5	9676049990412575449669824790475903	P+1	34	112.898	0.529
2022-11-27	masser	Manual testing	8000000	400000000	2	7	9676049990412575449669824790475903	P+1	34	112.898	1.164

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-06-28	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.005	-	-
2000-06-29	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.005	-	-
2000-12-14	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.010	-	-
2001-10-13	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.021	-	-
2003-08-31	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.041	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.124	-	-
2010-05-19	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.165	-	-
2014-08-24	lycorn	Manual testing	2⁶¹	2⁶²		-	-	0.331	-	-
2015-09-22	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.057	-	-
2015-09-22	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	2.113	-	-
2015-12-31	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	4.021	-	-
2017-12-14	Smok_bmv	Manual testing	2⁶⁵	2⁶⁶		-	-	8.043	-	-
2017-12-14	Smok_bmv	Manual testing	2⁶⁶	2⁶⁷		-	-	16.09	-	-
2017-12-15	Smok_bmv	Manual testing	2⁶⁷	2⁶⁸		-	-	32.17	-	-

ECM factoring results:

Total ECM effort:	26.700 GHz-days
Estimated T-Level:	25.932

Digits	B1	Complete	FacMiss
20	11000	17.542	0.000%
25	50000	2.093	12.329%
30	250000	0.186	83.001%
35	1000000	0.014	98.652%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	280	7.894
250000	25000000	47	6.625
250000	254268105	20	12.18

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-10	Chad Davis	Bayes	50000	5000000						1	0.028
2008-02-01	Steve Scott	Asus-2	50000	5000000						3	0.085
2008-11-05	Sturle Sunde	v21	50000	5000000						3	0.085
2009-02-24	Sturle Sunde	v23	50000	5000000						3	0.085
2009-06-22	Sturle Sunde	jobbtest	50000	5000000						3	0.085
2009-09-10	maxybo	CB418E216	50000	5000000						3	0.085
2009-11-24	maxybo	CB418E216	50000	5000000						3	0.085
2010-04-03	toji	tablepc2	50000	5000000						3	0.085
2010-11-05	Charles A. Morris	magnetar	50000	5000000						3	0.085
2011-02-11	maxybo	CB418E216	50000	5000000						3	0.085
2011-11-29	Carsten Kossendey	mother	50000	5000000						10	0.282
2013-03-01	gucs	echo3	50000	5000000						3	0.085
2013-05-23	gucs	echo3	50000	5000000						3	0.085
2013-08-15	gucs	echo3	50000	5000000						3	0.085
2013-10-27	gucs	echo3	50000	5000000						3	0.085
2014-01-19	gucs	echo3	50000	5000000						3	0.085
2014-03-10	gucs	echo3	50000	5000000						3	0.085
2014-04-14	gucs	echo3	50000	5000000						3	0.085
2014-05-25	Ryan Schulz	wenn	50000	5000000						15	0.423
2015-07-21	westicles	Manual testing	50000	5000000						206	5.807
2019-08-21	OS1	Tina	250000	25000000						3	0.423
2020-01-20	TJAOI	Manual testing	250000	25000000						44	6.202
2022-09-17	axn	Manual testing	250000	254268105						20	12.18

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	John Mercer		B7529319F037D51C	0.023
2002-01-08	ANONYMOUS	v4_computers	B7529319F037D51C	0.023
2015-04-11	MadPoo	Manual testing	B7529319F037D51C	0.023

PRP results:

date

userid

compid

cofactors

res64

PRP

2022-11-27

Kevin_9611

9676049990412575449669824790475903

8C166D7FBADE1A56

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 = 50000000, B2 = 1263691439010 (P-1 stage 2)

B1 = 50000000 (P-1 stage 1)

B1 = 10000000, B2 = 500000000 (P-1 stage 2)

B1 = 8000000, B2 = 400000000 (P+1 stage 2)

B1 = 4000000, B2 = 172000000 (P+1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 8000000 (P+1 stage 1)

B1 = 4000000 (P+1 stage 1)

B1 = 960000, B2 = 24960000 (P-1 stage 2)

B1 = 960000 (P-1 stage 1)

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

B1 = 730891 (P-1 stage 1)

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

B1 = 219267 (P-1 stage 1)

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

B1 = 200000 (P-1 stage 1)

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)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

10²¹

10²²

10²³

10²⁴

10²⁵

10²⁶

10²⁷

10²⁸

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁵

this exponent TF target: 44

TF double-checked to: 67.9

ECM T-Level=25.93 ~= 70-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

JSON version of this page

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