M4918513 Mersenne number exponent details

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M4918513

<<<

>>>

is 2 ^4918513 - 1

has 1480620 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	6.0412	65.6716%	-	-	-	-	6.0412	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0625	62.2951%	22000	450000	0.0091	3.3042%	0.0716	63.5409%	1.2458%
GPU72	2⁶⁵	1.4833	64.6154%	32000	700000	0.0137	2.3755%	1.4971	65.4559%	0.8406%
Difference	+2	+4.5579	+1.0563%	-32000	-700000	-0.0137	-2.3755%	+4.5442	+0.2157%	+0.2157%

Known prime factors (2 factors, 99.2 bits, 0.00201631% 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
4918513	78696209	8	26.230	8 2³	-	8	8	1.821e-12	1.608e-6	3.272e-6
4918513	9077376133163634177671	22	72.943	922776470567795 5 × 107 × 2371 × 727463447	2019-08-07	2371	727463447	304.51	7.9664	14.878

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4918513	78696209 9077376133163634177671	714355089347057186445540149239	30	99.173

P-1 results:
No P-1 results for M4918513

Trial Factoring results:
No TF results for M4918513

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	0.097	90.776%
25	50000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	9077376133163634177671	3	0.630

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-08-07T11:40:11	MarkS	laptop64	50000	5000000	9077376133163634177671	72.943	3	2		3	0.630

Lucas-Lehmer results:
No L-L results for M4918513

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T18:08:12

kkmrkkblmbrbk

Manual testing

78696209

D926D9C16CD196__

2018-04-07T23:44:54

ATH

ec2-PRPCFDC

78696209

D926D9C16CD196__

2019-08-08T02:21:35

Niels_Mache_Nextcloud

SuperDry-X

78696209

9077376133163634177671

0F6E7622B31A790F

2019-08-09T04:25:49

marssystems

SYSTEM01

78696209

9077376133163634177671

0F6E7622B31A790F

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

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-08-09T04:25:49+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