|
gptkbp:instance_of
|
gptkb:Artificial_Intelligence
|
|
gptkbp:can_be_used_to
|
test primality
|
|
gptkbp:can_create
|
all primes up to a limit
|
|
gptkbp:designed_by
|
A. O. L. Atkin
|
|
gptkbp:developed_by
|
gptkb:2004
efficient prime generation
|
|
gptkbp:example
|
mathematical algorithm
|
|
gptkbp:features_works_by
|
eliminating non-prime numbers
|
|
gptkbp:has_applications_in
|
computer algorithms
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
sieve of Atkin
|
|
gptkbp:improves
|
gptkb:sieve_of_Eratosthenes
|
|
gptkbp:is_analyzed_in
|
algorithm analysis
|
|
gptkbp:is_based_on
|
quadratic residues
|
|
gptkbp:is_common_in
|
gptkb:sieve_of_Eratosthenes
|
|
gptkbp:is_compared_to
|
other prime sieves
|
|
gptkbp:is_considered
|
an efficient algorithm
a modern sieve method
a significant advancement in prime sieving.
|
|
gptkbp:is_described_as
|
mathematics literature
|
|
gptkbp:is_explored_in
|
research papers
computer science research
|
|
gptkbp:is_implemented_in
|
various programming languages
software libraries
educational tools
|
|
gptkbp:is_optimized_for
|
large datasets
|
|
gptkbp:is_part_of
|
algorithm design
algorithmic number theory
prime sieving techniques
|
|
gptkbp:is_related_to
|
gptkb:prime_number_theorem
computational mathematics
|
|
gptkbp:is_taught_in
|
computer science courses
|
|
gptkbp:is_used_by
|
gptkb:Mathematician
|
|
gptkbp:is_used_for
|
mathematical modeling
|
|
gptkbp:is_used_in
|
gptkb:crypt
number theory
mathematical research
|
|
gptkbp:is_utilized_in
|
data science
|
|
gptkbp:purpose
|
find all prime numbers up to a specified integer
|
|
gptkbp:requires
|
more memory than sieve of Eratosthenes
|
|
gptkbp:requires_optimization_for
|
very large n values
|
|
gptkbp:runs_through
|
gptkb:true
|
|
gptkbp:size
|
gptkb:sieve_of_Eratosthenes
|
|
gptkbp:space_complexity
|
O(n)
|
|
gptkbp:speed
|
sieve of Eratosthenes for large n
|
|
gptkbp:suitable_for
|
small n values
|
|
gptkbp:time_complexity
|
O(n/log log n)
|
|
gptkbp:uses
|
modular arithmetic
|
|
gptkbp:bfsParent
|
gptkb:sieve_of_Eratosthenes
|
|
gptkbp:bfsLayer
|
5
|