M2624539 Mersenne number exponent details

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M2624539

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>>>

is 2 ^2624539 - 1

has 790065 decimal digits

takes 0.203 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	BF2094C97D1E73E2	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	2⁶⁷	11.3216	67.1642%	2000000	60000000	0.5779	7.6853%	11.8995	69.6877%	2.5235%
PrimeNet	2⁵⁹	0.0293	62.7119%	11000	200000	0.0024	2.6995%	0.0316	63.7185%	1.0066%
GPU72	2⁶³	0.6081	65.0794%	13000	200000	0.0026	1.5718%	0.6107	65.6282%	0.5489%
Difference	+4	+10.7135	+2.0848%	+1987000	+59800000	+0.5753	+6.1136%	+11.2887	+4.0595%	+4.0595%

Known prime factors (1 factor, 69.0 bits, 0.00262988% 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
2624539	599491471602670087183	21	69.022	114208908993669 3 × 7 × 29 × 73 × 2568974717	2017-11-03	73	2568974717	55.635	15.675	29.277

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.295%
2003-11-08T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.915%
2010-12-21T22:27:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.317%
2010-12-26T02:29:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.435%
2011-01-19T23:50:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.006	-	-	0.623%
2011-04-20T06:03:00	James Heinrich	WHS	175000	4243750		-		-	-	0.044	-	-	3.575%
2016-12-24T02:28:33	Jocelyn Larouche	low 4M	149299	149299		-		-	-	0.017	-	-	1.192%
2016-12-24T22:38:21	Jocelyn Larouche	low 4M	179158	179158		-		-	-	0.020	-	-	1.311%
2016-12-26T22:14:21	Jocelyn Larouche	low 4M	214989	214989		-		-	-	0.024	-	-	1.436%
2017-04-22T17:25:09	Jocelyn Larouche	low 4M	350000	3500000	6	-		-	-	0.058	-	-	3.757%
2019-07-04T12:43:05	alpertron	Manual testing	2000000	60000000	12	-		-	-	0.578	-	-	7.685%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:17	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-02-01T00:28:00	Sturle Sunde	eames.ifi	2⁶⁰	2⁶¹		-	-	0.059	-	-
2012-06-15T22:06:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.117	-	-
2013-01-14T11:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.374	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.748	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.424	-	-
2016-01-17T23:07:16	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.847	-	-
2017-08-30T21:12:49	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.695	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	2.757 GHz-days
Estimated T-Level:	1.250

Digits	B1	Curves	Complete	FacMiss
20	11000	25 / 100	0.250	77.782%
25	50000	25 / 280	0.089	91.444%

New Calculation Method

Total ECM effort:	2.757 GHz-days
Estimated T-Level:	1.250

Digits	B1	Complete	FacMiss
20	11000	0.821	43.989%
25	50000	0.074	92.888%
30	250000	0.005	99.548%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	50000		3	0.179
50000	5000000		24	2.475
50000	5000000	599491471602670087183	1	0.103

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-28T15:05:00	paulie	iMac3.4	50000	5000000						3	0.309
2010-06-14T21:11:00	James Hintz	13_052010	50000	5000000						3	0.309
2012-11-23T10:24:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.309
2014-09-25T13:38:00	arnaud	srv-630	50000	5000000						3	0.309
2015-12-16T03:48:11	lopper		50000	50000						3	0.179
2016-02-03T08:46:52	Henrik Petzold		50000	5000000						3	0.309
2016-04-18T15:42:19	raman22feb1988	Karthickpriya_Baskar	50000	5000000						3	0.309
2016-09-26T21:15:39	Ensigma	vps_sing	50000	5000000						3	0.309
2017-07-03T01:07:17	Bruce	eleven	50000	5000000						3	0.309
2017-11-03T14:01:40	Chang Chia-Tche	ex-ctcpc	50000	5000000	599491471602670087183	69.022	1	2		1	0.103

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-04-23T00:00:00	ANONYMOUS	v4_computers	BF2094C97D1E73E2	0.203

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-04T05:29:37

Oliver Kruse

GTX-2

599491471602670087183

B9796189136DF4__

2017-12-02T18:46:32

kkmrkkblmbrbk

c4.xlarge

599491471602670087183

B9796189136DF4__

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 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 350000, B2 = 3500000 (P-1 stage 2)

B1 = 175000, B2 = 4243750 (P-1 stage 2)

B1 = 350000 (P-1 stage 1)

B1 = 214989 (P-1 stage 1)

B1 = 179158 (P-1 stage 1)

B1 = 175000 (P-1 stage 1)

B1 = 149299 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 217500 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-07-04T12:43:05+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