M4920241 Mersenne number exponent details

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M4920241

<<<

>>>

is 2 ^4920241 - 1

has 1481141 decimal digits

takes 0.682 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	6.0391	65.6716%	-	-	-	-	6.0391	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0624	62.2951%	22000	450000	0.0091	3.3044%	0.0715	63.5410%	1.2459%
GPU72	2⁶⁵	1.4828	64.6154%	32000	700000	0.0137	2.3756%	1.4965	65.4560%	0.8406%
Difference	+2	+4.5563	+1.0563%	-32000	-700000	-0.0137	-2.3756%	+4.5426	+0.2156%	+0.2156%

Known prime factors (1 factor, 52.2 bits, 0.00106085% 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
4920241	5160012363922831	16	52.196	524365815 3 × 5 × 34957721	-	5	34957721	0.0001	0.3828	0.7150

P-1 results:
No P-1 results for M4920241

Trial Factoring results:
No TF results for M4920241

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.630 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:	0.630 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	0.630

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-08-08T19:10:35	InVinoVeritas	AXXIV	50000	5000000						3	0.630

Lucas-Lehmer results:
No L-L results for M4920241

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T18:08:21

kkmrkkblmbrbk

Manual testing

5160012363922831

EA9A1D18145264__

2018-04-08T09:12:30

ATH

ec2-PRPCFDC

5160012363922831

EA9A1D18145264__

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-08-08T19:10:35+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