Carmichael number

GPTKB entity

Statements (53)
Predicate Object
gptkbp:instance_of gptkb:textiles
gptkbp:can_be_found_in mathematical literature
gptkbp:concept abstract algebra
gptkbp:discovered_by 1910
gptkbp:example a number with interesting properties
a composite number that passes Fermat's test
gptkbp:has_a_focus_on mathematical exploration
gptkbp:has_at_least_three_distinct_prime_factors nan
gptkbp:has_produced specific algorithms
https://www.w3.org/2000/01/rdf-schema#label Carmichael number
gptkbp:includes_the_number gptkb:1729
1105
2821
561
8911
10585
2465
29341
6601
15841
gptkbp:is_a_counterexample_to Fermat's primality test
gptkbp:is_a_number_that_satisfies b^(n-1) ≡ 1 (mod n) for all b coprime to n
gptkbp:is_a_subject_of mathematical competitions
mathematical conjectures
gptkbp:is_analyzed_in number theory research papers
gptkbp:is_characterized_by the Carmichael function
gptkbp:is_connected_to the RSA algorithm
the study of divisors
gptkbp:is_defined_by gptkb:Fermat's_little_theorem
gptkbp:is_essential_for understanding number theory
gptkbp:is_not_prime nan
gptkbp:is_often_seen_in strong pseudoprimes
gptkbp:is_part_of the history of mathematics
the study of pseudoprimes
gptkbp:is_related_to gptkb:prime_factorization
the distribution of primes
composite numbers
gptkbp:is_relevant_to the study of algorithms
factorization algorithms
gptkbp:is_significant_for theoretical computer science
gptkbp:is_studied_in gptkb:crypt
modular arithmetic
gptkbp:is_tested_for the reliability of primality tests
gptkbp:is_used_in number theory
randomized algorithms
gptkbp:known_as absolute pseudoprime
gptkbp:named_after gptkb:Robert_Carmichael
gptkbp:research_focus computational number theory
gptkbp:size gptkb:1
gptkbp:type_of gptkb:Compass
gptkbp:was_involved_in gptkb:Fermat_pseudoprime
gptkbp:bfsParent gptkb:1729
gptkbp:bfsLayer 5