M8211461 Mersenne number exponent details

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M8211461

<<<

>>>

is 2 ^8211461 - 1

has 2471897 decimal digits

takes 2.144 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	3.6186	65.6716%	-	-	-	-	3.6186	65.6716%	0.0000%
PrimeNet	2⁶³	0.1944	63.4921%	36000	900000	0.0315	3.6206%	0.2258	64.8139%	1.3218%
GPU72	2⁶⁷	3.6186	65.6716%	55000	1300000	0.0465	2.6270%	3.6651	66.5735%	0.9018%
Difference	-	-	-	-55000	-1300000	-0.0465	-2.6270%	-0.0465	-0.9018%	-0.9018%

Known prime factors (1 factor, 29.4 bits, 0.00035798% 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
8211461	706185647	9	29.395	43 43	-	1	43	8.791e-12	1.245e-6	1.603e-6

P-1 results:
No P-1 results for M8211461

Trial Factoring results:
No TF results for M8211461

ECM factoring results:
No ECM results for M8211461

Lucas-Lehmer results:
No L-L results for M8211461

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-09-22T19:25:28

Oliver Kruse

GTX-4

706185647

CB1F4AE4DEBEFD__

2020-03-20T16:20:07

oodaira

com2

706185647

CB1F4AE4DEBEFD27

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

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-03-20T16:20:07+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