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Multiplicative orderFermat's little theoremCeiling functionCarmichael's theoremLeast common multipleInteger complexityMultiplicative functionPerfect numberP-adic valuationSyntactic monoidEuler's totient functionPractical numberInteger factorizationDivisor functionCarmichael numberAlgebraic integerNumber theoryTransitive closurePrime-counting functionTotativeGreatest common divisorRing of integersCyclic numberField of fractionsIntersection numberMills' constantEuler's criterionPerfect totient numberBertrand's postulateInteger square rootRank of a groupDivisor summatory functionNegligible functionAdditive inverseDiophantine equationAliquot sumReal numbersDivisorFermat numberCharacteristicPrime factorizationSylvester's sequenceInteger factorization recordsFermat polygonal number theoremDivisibility sequenceLowest common denominatorPartitionSemiprimeFloor functionNumber-theoretic functionSpecial number field sieveGeneral number field sieveFundamental theorem of arithmeticLegendre's conjecturePrime powerFirst uncountable ordinalMinimal primeRational numberAbundant numberUnit functionMersenne primeAlgebraic numberCoprime integersPrime number theoremSum of two squares theoremModular multiplicative inverseFloor and ceiling functionsIdeal numberRamanujan's sumMertens functionGaussian integerLegendre's three-square theoremClosed-form expressionTotientCongruent numberPrincipal square rootPartition functionSquare-free integerPositive real numbersArithmetic functionDirichlet's approximation theoremAnalytic number theoryCube rootHarmonic numberLegendre's formulaPrimitive root modulo nPartial functionRamanujan primeInclusion functionCyclotomic fieldCardinalityIntegrable functionPerfect powerCompositionLocally integrable functionRationalComplex functionTriangular numberSum-product numberDe moivre's formula