M4768583 Mersenne number exponent details

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M4768583

<<<

>>>

is 2 ^4768583 - 1

has 1435487 decimal digits

takes 0.628 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	6.2312	65.6716%	-	-	-	-	6.2312	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0644	62.2951%	20000	450000	0.0083	3.2211%	0.0727	63.5096%	1.2145%
GPU72	2⁶⁵	1.5300	64.6154%	30000	650000	0.0122	2.2841%	1.5421	65.4236%	0.8082%
Difference	+2	+4.7012	+1.0563%	-30000	-650000	-0.0122	-2.2841%	+4.6891	+0.2480%	+0.2480%

Known prime factors (2 factors, 127.2 bits, 0.00266835% 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
4768583	862666830117067879	18	59.582	90453162933 3² × 7² × 313 × 655301	-	313	655301	0.0273	0.0069	0.0127
4768583	233349420562591595287	21	67.661	24467375377821 3 × 2281 × 3575533447	2019-07-14	2281	3575533447	9.3531	37.192	69.463

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4768583	862666830117067879 233349420562591595287	201302804946385429822020815013475486273	39	127.243

P-1 results:
No P-1 results for M4768583

Trial Factoring results:
No TF results for M4768583

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.396 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:	0.396 GHz-days
Estimated T-Level:	0.100

Digits	B1	Complete	FacMiss
20	11000	0.065	93.752%
25	50000	0.006	99.419%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	233349420562591595287	2	0.396

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-07-14T11:12:26	MarkS	laptop64	50000	5000000	233349420562591595287	67.661	2	2		2	0.396

Lucas-Lehmer results:
No L-L results for M4768583

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T19:26:34

kkmrkkblmbrbk

Manual testing

862666830117067879

342E63974B3DFF__

2018-03-19T04:19:44

trebor

Laptop

862666830117067879

342E63974B3DFF__

2019-07-15T01:03:57

Niels_Mache_Nextcloud

SuperDry-X

862666830117067879

233349420562591595287

4D259593930C8583

2019-07-16T01:42:58

kkmrkkblmbrbk

c5.large

862666830117067879

233349420562591595287

4D259593930C8583

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

10¹

10²

10³

10⁴

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-07-16T01:42:58+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