M4713739 Mersenne number exponent details

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M4713739

<<<

>>>

is 2 ^4713739 - 1

has 1418977 decimal digits

takes 0.621 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
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	6.3037	65.6716%	-	-	-	-	6.3037	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0652	62.2951%	20000	400000	0.0078	3.1235%	0.0729	63.4728%	1.1777%
GPU72	2⁶⁵	1.5478	64.6154%	30000	600000	0.0117	2.2338%	1.5594	65.4058%	0.7904%
Difference	+2	+4.7559	+1.0563%	-30000	-600000	-0.0117	-2.2338%	+4.7443	+0.2658%	+0.2658%

Known prime factors (1 factor, 59.3 bits, 0.00125818% 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
4713739	713346633108519143	18	59.307	75666751289 563 × 134399203	1998-04-05	563	134399203	0.0276	1.3981	2.6110

P-1 results:
No P-1 results for M4713739

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-04-05T00:00:00	ANONYMOUS	v4_computers	?	?	713346633108519143	59.307	18	0.011	1.294	0.024

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.592 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.592 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.592

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-04-18T21:47:04	ATH	ec2-ECMCF	50000	5000000						3	0.592

Lucas-Lehmer results:
No L-L results for M4713739

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-19T18:41:22

Oliver Kruse

GTX-1

713346633108519143

30B08978854416__

2018-01-05T00:48:19

kkmrkkblmbrbk

c4.xlarge

713346633108519143

30B08978854416__

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-04-18T21:47:04+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