M4096517 Mersenne number exponent details

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M4096517

<<<

>>>

is 2 ^4096517 - 1

has 1233175 decimal digits

takes 0.511 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	7.2535	67.1642%	-	-	-	-	7.2535	67.1642%	0.0000%
PrimeNet	2⁶¹	0.0750	63.9344%	17000	340000	0.0063	2.8223%	0.0812	64.9523%	1.0179%
GPU72	2⁶⁵	1.7810	66.1538%	22000	400000	0.0077	1.8083%	1.7887	66.7659%	0.6120%
Difference	+2	+5.4725	+1.0103%	-22000	-400000	-0.0077	-1.8083%	+5.4648	+0.3983%	+0.3983%

Known prime factors (1 factor, 33.4 bits, 0.00081493% 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
4096517	11208070513	11	33.384	1368 2³ × 3² × 19	-	9	19	3.621e-10	1.726e-6	3.312e-6

P-1 results:
No P-1 results for M4096517

Trial Factoring results:
No TF results for M4096517

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.543 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:	0.543 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	0.543

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-11-29T17:28:39	MarkS	laptop64	50000	5000000						3	0.543

Lucas-Lehmer results:
No L-L results for M4096517

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-15T01:42:24

nokno

pcr2-srv

11208070513

2017-12-22T05:27:45

kkmrkkblmbrbk

c4.xlarge

11208070513

7CF01DBD1F7A91__

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

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-11-29T17:28:39+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