M4883083 Mersenne number exponent details

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M4883083

<<<

>>>

is 2 ^4883083 - 1

has 1469955 decimal digits

takes 0.677 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	6.0851	65.6716%	-	-	-	-	6.0851	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0629	62.2951%	22000	450000	0.0091	3.3002%	0.0720	63.5394%	1.2443%
GPU72	2⁶⁵	1.4941	64.6154%	32000	700000	0.0137	2.3726%	1.5078	65.4549%	0.8395%
Difference	+2	+4.5910	+1.0563%	-32000	-700000	-0.0137	-2.3726%	+4.5773	+0.2167%	+0.2167%

Known prime factors (1 factor, 39.3 bits, 0.00080386% 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
4883083	655192544609	12	39.253	67088 2⁴ × 7 × 599	-	16	599	2.282e-8	9.600e-6	1.226e-5

P-1 results:
No P-1 results for M4883083

Trial Factoring results:
No TF results for M4883083

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.629 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:	0.629 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	0.629

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-07-22T17:33:52	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						3	0.629

Lucas-Lehmer results:
No L-L results for M4883083

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T17:04:16

kkmrkkblmbrbk

Manual testing

655192544609

6F2B924262F8A0__

2018-04-02T04:00:56

ATH

ec2-PRPCFDC

655192544609

6F2B924262F8A0__

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

10⁰

10¹

10²

10³

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-07-22T17:33:52+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