M4829543 Mersenne number exponent details

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M4829543

<<<

>>>

is 2 ^4829543 - 1

has 1453838 decimal digits

takes 0.636 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	6.1525	65.6716%	-	-	-	-	6.1525	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0636	62.2951%	20000	450000	0.0083	3.2280%	0.0719	63.5122%	1.2171%
GPU72	2⁶⁵	1.5106	64.6154%	32000	650000	0.0125	2.3246%	1.5232	65.4379%	0.8225%
Difference	+2	+4.6419	+1.0563%	-32000	-650000	-0.0125	-2.3246%	+4.6294	+0.2337%	+0.2337%

Known prime factors (2 factors, 130.7 bits, 0.00270565% 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
4829543	10870767580203071	17	53.271	1125444745 5 × 225088949	-	5	225088949	0.0004	2.3413	4.3729
4829543	199282775427609520421119	24	77.399	20631639000585513 3 × 29 × 61 × 227 × 3041 × 5631737	2019-06-17	3041	5631737	9,263.7	0.0591	0.1094

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4829543	10870767580203071 199282775427609520421119	2166356734411346763982108465443457056449	40	130.670

P-1 results:
No P-1 results for M4829543

Trial Factoring results:
No TF results for M4829543

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	199282775427609520421119	2	0.397

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-06-17T17:36:29	ATH	ec2-ECMCF	50000	5000000	199282775427609520421119	77.399	2	2	7224800073591434	2	0.397

Lucas-Lehmer results:
No L-L results for M4829543

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:25:43

kkmrkkblmbrbk

Manual testing

10870767580203071

10B362DDF7E196__

2018-03-27T04:12:17

ATH

ec2-PRPCFDC

10870767580203071

10B362DDF7E196__

2019-06-19T07:45:56

_p95holder_

TFL16_PRPt11-E_b

10870767580203071

199282775427609520421119

0A0FAB50E7EF97D3

2019-06-19T08:32:49

ATH

ec2-PRPCFDC

10870767580203071

199282775427609520421119

0A0FAB50E7EF97D3

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-06-19T08:32:49+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