Linked from

The 63 pages that link to Integer, each with the reason it gives.

• Rational numberNarrower topic: Rational numbers are formed by taking quotients of integers.

• Modular arithmeticNarrower topic: Modular arithmetic is ordinarily defined on integers.

• DivisibilityNarrower topic: Divisibility is defined between integers, not arbitrary real numbers.

• Natural numberNarrower topic: Natural numbers sit inside the integers, which add zero and negative values.

• Diophantine equationNarrower topic: Integers are the most common domain in which Diophantine solutions are required.

• Prime factorizationNarrower topic: Prime factorization applies to positive integers greater than one.

• Greatest common divisorNarrower topic: The definition applies to integers, with a positive result for nonzero inputs.

• ZeroNarrower topic: Zero is the central integer separating positive from negative values.

• Chinese remainder theoremNarrower topic: The theorem applies to integer unknowns and integer moduli.

• Harmonic seriesNarrower topic: The harmonic sequence uses positive integer multiples of one frequency.

• Fundamental theorem of arithmeticNarrower topic: The theorem concerns integers greater than 1, whose prime factors are positive integers.

• Irrational numberNarrower topic: Integers supply the numerators and denominators used to define rationality.

• CardinalityRelated: Despite including negatives, they can be listed in a sequence like the natural numbers.

• Countable setBroader topic: They are infinite but can be listed by alternating positive and negative values.

• Scientific notationNarrower topic: Integer exponents encode both positive and negative powers of ten.

• Root of unityNarrower topic: The positive integer exponents in the definition determine whether a number is a root of unity.

• Positional notationRelated: Signed positional numerals extend place-value representations to negative values.

• AdditionRelated: Adding integers extends ordinary counting to signed quantities.

• Gaussian integerCompared with: Integers sit inside ℤ[i], but some integer primes become reducible there.

• Place valueNarrower topic: Integer numerals provide the familiar setting for learning place value.

• Composite numberNarrower topic: Composite numbers are a particular class of positive integers.

• Unique factorization domainBroader topic: The integers are the standard example, with ordinary prime factorization.

• Negative numberNarrower topic: Negative integers are a familiar subset of negative real numbers.

• Trial divisionNarrower topic: Trial division operates on positive integers greater than one when testing primality.

• LatticeRelated: Integer coefficients specify exactly which combinations of basis vectors belong to the lattice.

• Pell equationRelated: Both variables must be integers for Pell’s equation to pose its characteristic problem.

• PowerRelated: Integer exponents give the foundational cases for power rules.

• Bézout's identityNarrower topic: The coefficients and inputs in the identity must be integers.

• Decimal systemRelated: Decimal notation represents integers by assigning digits to powers of ten.

• OneNarrower topic: One belongs to the integers alongside zero and the negative whole numbers.

• ArithmeticNarrower topic: Integers extend counting numbers so subtraction can produce negative results.

• Powers of tenRelated: The exponent in this concept is restricted to integers.

• RemainderNarrower topic: Remainders in this sense arise from dividing integers.

• SubtractionNarrower topic: Integers extend subtraction when the amount taken away exceeds the starting amount.

• Least common multipleNarrower topic: The least common multiple is defined for collections of integers, with a positive result.

• Perfect squareNarrower topic: Perfect squares are defined within the integers, including zero.

• Even numberNarrower topic: Evenness is defined for integers, not for arbitrary real numbers.

• Integer sequenceBroader topic: Every term in an integer sequence belongs to this number system.

• Leopold KroneckerNarrower topic: Kronecker’s celebrated dictum singled out integers as mathematics’ foundational objects.

• Bernoulli's inequalityBroader topic: The classical elementary version restricts the exponent to a nonnegative integer.

• Fermat's theorem on sums of two squaresNarrower topic: Allowing arbitrary integer squares makes signs irrelevant and includes zero as a possible coordinate.

• Catalan's conjectureNarrower topic: The conjecture concerns positive integers and their powers.

• Lowest termsNarrower topic: Fraction numerators and denominators are integers in the usual definition of lowest terms.

• Triangular numberNarrower topic: Every triangular number is an integer, and its formula uses integer arithmetic.

• De Moivre's formulaRelated: The stated identity covers integer exponents, including inverse powers and the zeroth power.

• Number (mathematics)Broader topic: Integers extend counting numbers to include subtraction results such as −3.

• BaseRelated: Integer representations expose the repeated grouping that underlies base notation.

• Cube rootRelated: Integer inputs can have exact integer cube roots, including negative roots.

• Divisibility ruleNarrower topic: Divisibility rules decide whether one integer is an exact multiple of another.

• Floor and ceiling functionsRelated: Every floor and ceiling value is an integer.