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Carmichael number

In number theory, a Carmichael number is a composite number ⁠ n {\displaystyle n} ⁠ which in modular arithmetic satisfies the congruence relation:

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Knödel number

Higher-order Carmichael numbers

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Map overview Semantic statistics

Carmichael number

Nodes72
Edges71
Triples122
Avg. degree1.97
Density0.027778
Components1

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Carmichael number

Top relations

related to References · 36
Carmichael number → Amer, American Mathematical Monthly, American Mathematical Society, Archived, Bibcode, Bull, Bulletin, Carmichael, Chernick, Comp, CPMF, Fermat, Fysiky, ISBN, JSTOR, Korselt, L'Intermédiaire, Löh, Math, Mathématiciens
related to overview · 12
Carmichael number → Baillie, Carmichael, Euler, Fermat, Fermat's, Fermat's Little Theorem, However, Jacobi, Miller, PSW, Rabin, This
related to External links · 11
Carmichael number → Carmichael, EMS Press, Encyclopedia, Eric, Final Answers Modular Arithmetic, Mathematics, MathematicsTable, MathPages, MathWorld, The Dullness, Weisstein
related to Generalizations · 9
Carmichael number → Call, Carmichael, Fermat's, For, Gaussian, Since, The, This, When
related to Korselt's criterion · 8
Carmichael number → Additionally, An, Carmichael, Fermat, From, It, Korselt's, The
related to Discovery · 7
Carmichael number → Carmichael, Czech, His, Korselt, Korselt's, The, Václav
related to Distribution · 7
Carmichael number → A055553, Carmichael, In, Knödel, Let, OEIS, The
related to Factorizations · 5
Carmichael number → A006931, A074379, Carmichael, OEIS, The
related to Higher-order Carmichael numbers · 5
Carmichael number → As, Carmichael, The, Zn, Zn-algebra
related to Quasi–Carmichael number · 5
Carmichael number → Carmichael, If, Lucas, Quasi, The

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Important terminology

carmichael numbers displaystyle number prime composite theorem also integer ideal first 10 integers criterion doi factors many large pn fermat's

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Carmichael numberis acomposite number0.90text
the Baillieinstance ofThis makes tests based on Fermat's Little Theorem less effective than strong probable prime tests0.80text
Carmichael numberrelated to An order-2 Carmichael numberAccording0.60section
Carmichael numberrelated to An order-2 Carmichael numberHowe0.60section
Carmichael numberrelated to An order-2 Carmichael numberCarmichael0.60section
Carmichael numberrelated to An order-2 Carmichael numberThis0.60section
Carmichael numberrelated to DiscoveryThe0.60section
Carmichael numberrelated to DiscoveryCarmichael0.60section
Carmichael numberrelated to DiscoveryCzech0.60section
Carmichael numberrelated to DiscoveryVáclav0.60section
Carmichael numberrelated to DiscoveryKorselt0.60section
Carmichael numberrelated to DiscoveryKorselt's0.60section

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