M2445979 Mersenne number exponent details

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M2445979

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is 2 ^2445979 - 1

has 736314 decimal digits

takes 0.165 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	2A49FDA8B5DB521F	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	12.1481	67.1642%	2000000	60000000	0.5055	7.6301%	12.6535	69.6696%	2.5054%
PrimeNet	2⁵⁹	0.0314	62.7119%	10000	180000	0.0019	2.5275%	0.0333	63.6543%	0.9425%
GPU72	2⁶³	0.6525	65.0794%	10000	150000	0.0017	1.3072%	0.6542	65.5358%	0.4565%
Difference	+4	+11.4956	+2.0848%	+1990000	+59850000	+0.5037	+6.3229%	+11.9993	+4.1337%	+4.1337%

Known prime factors (1 factor, 69.6 bits, 0.00284690% 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
2445979	916433522948293730071	21	69.635	187334707891665 3 × 5 × 12488980526111	2015-07-08	5	12488980526111	87.375	66,652	124,488

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.289%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.902%
2010-11-19T00:04:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.312%
2011-01-18T20:30:00	Oscar Östlin		95000	1947500		-		-	-	0.019	-	-	2.673%
2014-01-24T13:52:00	mikr	MSI	1172000	48000000		-		-	-	0.365	-	-	7.026%
2018-09-28T16:26:41	alpertron	Manual testing	2000000	60000000	12	-		-	-	0.505	-	-	7.630%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-01-15T21:25:00	Sturle Sunde	letov.ifi	2⁶⁰	2⁶¹		-	-	0.063	-	-
2011-10-04T04:18:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.126	-	-
2013-01-23T08:28:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.401	-	-
2015-02-27T20:41:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.803	-	-
2015-02-27T20:41:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.528	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.339 GHz-days
Estimated T-Level:	0.750

Digits	B1	Curves	Complete	FacMiss
20	11000	15 / 100	0.150	86.006%
25	50000	15 / 280	0.054	94.775%

New Calculation Method

Total ECM effort:	1.339 GHz-days
Estimated T-Level:	0.750

Digits	B1	Complete	FacMiss
20	11000	0.484	61.639%
25	50000	0.044	95.721%
30	250000	0.003	99.731%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		12	1.071
50000	5000000	916433522948293730071	3	0.268

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-07T05:24:00	ksims	ZhViZCJBj2sims	50000	5000000						3	0.268
2010-03-09T09:30:00	James Classen	towerofart	50000	5000000						3	0.268
2012-04-20T21:01:00	S36049	Wolle5	50000	5000000						3	0.268
2013-12-30T01:32:00	arnaud	srv-630	50000	5000000						3	0.268
2015-07-08T03:32:00	guru	w6	50000	5000000	916433522948293730071	69.635	3	2		3	0.268

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2A49FDA8B5DB521F	0.165
1999-05-16T00:00:00	ANONYMOUS	v4_computers	2A49FDA8B5DB521F	0.165

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-13T15:45:14

Oliver Kruse

GTX-3

ECA35CDF837312__

2017-11-28T08:04:59

kkmrkkblmbrbk

c4.xlarge

916433522948293730071

ECA35CDF837312__

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 = 1172000, B2 = 48000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1172000 (P-1 stage 1)

B1 = 95000, B2 = 1947500 (P-1 stage 2)

B1 = 95000 (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)

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TF factor-bounds graph:

2⁶⁷

2⁶⁵

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2⁶³

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2¹⁰⁰

Last modified: 2018-09-28T16:26:41+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