M2001511 Mersenne number exponent details

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M2001511

<<<

>>>

is 2 ^2001511 - 1

has 602515 decimal digits

takes 0.132 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 L-L tests remaining

	Residue	Status
L-L	0BD6D2C55A43967F	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	29.7799	69.1176%	100000000	5000000000	34.9856	15.1503%	64.7655	73.7964%	10.0033%
PrimeNet	2⁵⁸	0.0192	63.7931%	8000	140000	0.0014	2.4792%	0.0206	64.6907%	0.8976%
GPU72	2⁶²	0.3069	66.1290%	8000	110000	0.0013	1.2368%	0.3082	66.5480%	0.4189%
Difference	+6	+29.4730	+2.9886%	+99992000	+4999890000	+34.9843	+13.9134%	+64.4573	+7.2484%	+7.2484%

Known prime factors (1 factor, 133.9 bits, 0.00668839% 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
2001511	19885661711344389415428507505282354958833	41	133.869	4967662358923930324496969415926856 2³ × 3³ × 47 × 83 × 199 × 307 × 8713 × 11087 × 874543 × 1142267939	2013-11-11	874543	1142267939	9.022e+10	6.0121	11.082

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-04-28T00:00:00	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	0.000	-	-	0.017%
2002-04-28T00:00:00	Jocelyn Larouche	v4_computers	4000	4000		-		-	-	0.000	-	-	0.046%
2002-04-28T00:00:00	Jocelyn Larouche	v4_computers	10000	10000		-		-	-	0.001	-	-	0.132%
2003-11-16T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.220%
2007-02-05T00:00:00	markr	v4_computers	25000	387500		-		-	-	0.004	-	-	1.056%
2007-02-05T00:00:00	markr	v4_computers	50000	1000000		-		-	-	0.010	-	-	1.679%
2010-11-21T03:27:00	Jocelyn Larouche	Manual testing	200151	200151		-		-	-	0.019	-	-	1.162%
2013-02-17T08:00:00	BloodIce	Mjolnir4	6000000	60000000		-		-	-	0.853	-	-	7.391%
2013-06-11T20:59:00	BloodIce	Mjolnir4	10000000	200000000		-		-	-	1.940	-	-	9.241%
2013-11-11T19:27:00	BloodIce	Mjolnir4	100000000	5000000000			19885661711344389415428507505282354958833	41	133.869	34.99	0.263	69.97	15.150%
2016-03-17T19:19:22	alpertron	Manual testing	500000	15000000	12	-		-	-	0.123	-	-	4.650%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-02T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁸		-	-	0.019	-	-
2009-01-02T22:26:00	Sturle Sunde	agrell.ifi	2⁶⁰	2⁶¹		-	-	0.077	-	-
2011-12-23T09:11:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.153	-	-
2013-02-03T01:39:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.490	-	-
2013-02-28T12:23:00	BloodIce	Manual testing	2⁶³	2⁶⁴		-	-	0.981	-	-
2013-02-28T12:23:00	BloodIce	Manual testing	2⁶⁴	2⁶⁵		-	-	1.867	-	-
2013-02-28T12:23:00	BloodIce	Manual testing	2⁶⁵	2⁶⁶		-	-	3.734	-	-
2013-07-16T17:12:00	BloodIce	Manual testing	2⁶⁶	2⁶⁷		-	-	7.467	-	-
2013-07-16T17:12:00	BloodIce	Manual testing	2⁶⁷	2⁶⁸		-	-	14.93	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

23.770 GHz-days

Digits	B1	Curves	Complete	FacMiss
20	11000	281 / 100	2.810	5.936%
25	50000	281 / 280	1.004	36.591%

New Calculation Method

Total ECM effort:

23.770 GHz-days

Digits	B1	Complete	FacMiss
20	11000	9.065	0.012%
25	50000	0.819	44.077%
30	250000	0.050	95.080%
35	1000000	0.002	99.769%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	23.77

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-28T11:24:00	Matt	Dell	50000	5000000						3	0.254
2009-09-04T02:20:00	James Hintz	16_071509	50000	5000000						3	0.254
2011-01-21T16:44:00	Jocelyn Larouche	Manual testing	50000	5000000						1	0.085
2011-10-05T16:36:00	S36049	Wolle5	50000	5000000						3	0.254
2013-05-16T17:28:00	hiems	Laptop	50000	5000000						3	0.254
2013-08-09T15:03:00	BloodIce	URM2	50000	5000000						268	22.67

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-05-02T00:00:00	ANONYMOUS	v4_computers	0BD6D2C55A43967F	0.132
2012-06-18T13:19:00	Gaurav Khanna	Manual testing	0BD6D2C55A43967F	0.132

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-05T19:07:16

Oliver Kruse

GTX-2

19885661711344389415428507505282354958833

2D0FED88C61EF355

2017-11-13T10:09:48

kkmrkkblmbrbk

old

19885661711344389415428507505282354958833

2D0FED88C61EF3__

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 = 100000000, B2 = 5000000000 (P-1 stage 2)

B1 = 100000000 (P-1 stage 1)

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

B1 = 10000000 (P-1 stage 1)

B1 = 6000000, B2 = 60000000 (P-1 stage 2)

B1 = 6000000 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 200151 (P-1 stage 1)

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

B1 = 50000 (P-1 stage 1)

B1 = 25000, B2 = 387500 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 10000 (P-1 stage 1)

B1 = 4000 (P-1 stage 1)

B1 = 2048 (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

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

Last modified: 2017-11-13T10:09:48+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