M982939 Mersenne number exponent details

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M982939

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is 2 ⁹⁸²⁹³⁹ - 1

has 295895 decimal digits

takes 0.024 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	8CDEF267A33FECC5	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	30.2297	70.1493%	1000000	30000000	0.0907	5.7750%	30.3204	71.8731%	1.7239%
PrimeNet	2⁴⁰	0.0000	50.0000%	9000	400000	0.0011	24.0060%	0.0011	62.0030%	12.0030%
GPU72	2⁴⁴	0.0000	54.5455%	16000	650000	0.0018	18.4436%	0.0018	62.9289%	8.3834%
Difference	+23	+30.2297	+15.6038%	+984000	+29350000	+0.0889	-12.6686%	+30.3186	+8.9442%	+8.9442%

Known prime factors (1 factor, 64.8 bits, 0.00659356% 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
982939	32356473009096515311	20	64.811	16459044258645 3² × 5 × 47 × 7782054023	2008-02-05	47	7782054023	4.9417	14.908	27.845

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-07-22T00:00:00	ANONYMOUS	v4_computers	55000	1200000		-		-	-	0.004	-	-	1.821%
2002-04-28T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.004	-	-	1.326%
2002-08-03T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.007	-	-	1.980%
2003-01-25T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.015	-	-	2.774%
2003-09-14T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.029	-	-	3.696%
2016-03-17T18:55:18	alpertron	Manual testing	200000	5000000	6	-		-	-	0.016	-	-	3.303%
unknown			1000000	30000000		-		-	-	0.091	-	-	5.775%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-07-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.005	-	-
2000-10-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.010	-	-
2001-12-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.020	-	-
2003-08-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.039	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.191 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	324 / 100	3.240	3.853%
25	50000	324 / 280	1.157	31.373%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	14.191 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	14.769	0.000%
25	50000	1.616	19.866%
30	250000	0.131	87.697%
35	1000000	0.009	99.130%

ECM Summary

B1	B2	factor	curves	GHz-days
		32356473009096515311	1	0.00000e+0
50000	5000000		280	7.947
250000	25000000		44	6.244

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-15T02:25:00	Chad Davis	Bayes	50000	5000000						1	0.028
2008-02-05T11:04:00	Team_Bundu	bundu4			32356473009096515311	64.811		1		1	-
2015-08-16T17:42:00	Richard B. Woods	Puttputt	50000	5000000						3	0.085
2016-10-21T13:23:50	TJAOI	Manual testing	50000	5000000						95	2.696
2017-02-10T18:29:56	TJAOI	Manual testing	50000	5000000						90	2.554
2017-12-15T15:30:08	TJAOI	Manual testing	50000	5000000						91	2.583
2020-01-06T12:22:56	TJAOI	Manual testing	250000	25000000						44	6.244

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-01-08T00:00:00	Matt	v4_computers	8CDEF267A33FECC5	0.024

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-28T14:26:22

Oliver Kruse

GTX-2

32356473009096515311

9B22155FDC7AA1__

2017-10-16T01:03:48

kkmrkkblmbrbk

c4.xlarge

32356473009096515311

9B22155FDC7AA1__

2020-04-24T21:50:32

Oliver Kruse

AddPrpType5

32356473009096515311

272B48DFDC1724__

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 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

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

B1 = 200000, B2 = 5000000 (P-1 stage 2)

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

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

B1 = 200000 (P-1 stage 1)

B1 = 131072 (P-1 stage 1)

B1 = 55000, B2 = 1200000 (P-1 stage 2)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 65536 (P-1 stage 1)

B1 = 55000 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 16384 (P-1 stage 1)

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TF factor-bounds graph:

2⁶⁷

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-04-24T21:50:32+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