M4809443 Mersenne number exponent details

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M4809443

<<<

>>>

is 2 ^4809443 - 1

has 1447787 decimal digits

takes 0.633 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	6.1782	65.6716%	-	-	-	-	6.1782	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0639	62.2951%	20000	450000	0.0083	3.2258%	0.0722	63.5114%	1.2163%
GPU72	2⁶⁵	1.5170	64.6154%	32000	650000	0.0125	2.3230%	1.5295	65.4374%	0.8220%
Difference	+2	+4.6613	+1.0563%	-32000	-650000	-0.0125	-2.3230%	+4.6488	+0.2343%	+0.2343%

Known prime factors (2 factors, 102.2 bits, 0.00212577% 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
4809443	21555923527	11	34.327	2241 3³ × 83	-	27	83	7.067e-10	5.737e-6	1.049e-5
4809443	277334852097045991817	21	67.910	28832325499756 2² × 997 × 52951 × 136537	2019-06-05	52951	136537	7.3298	0.0110	0.0206

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4809443	21555923527 277334852097045991817	5978208863175778982209119778559	31	102.238

P-1 results:
No P-1 results for M4809443

Trial Factoring results:
No TF results for M4809443

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.397 GHz-days
Estimated T-Level:	0.100

Digits	B1	Curves	Complete	FacMiss
20	11000	2 / 100	0.020	98.010%
25	50000	2 / 280	0.007	99.287%

New Calculation Method

Total ECM effort:	0.397 GHz-days
Estimated T-Level:	0.100

Digits	B1	Complete	FacMiss
20	11000	0.077	92.596%
25	50000	0.007	99.291%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	277334852097045991817	2	0.397

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-06-05T04:59:03	ATH	ec2-ECMCF	50000	5000000	277334852097045991817	67.910	2	2	2466058833542662	2	0.397

Lucas-Lehmer results:
No L-L results for M4809443

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-20T13:48:07

Oliver Kruse

GTX-0

21555923527

A054AF5D57B8C3__

2018-01-07T02:51:15

kkmrkkblmbrbk

c4.xlarge

21555923527

A054AF5D57B8C3__

2019-06-05T06:11:39

ATH

ec2-PRPCF

21555923527

277334852097045991817

A054AF5D57B8C3BA

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-06-05T22:28:36+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