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.

• 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.

• 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.

• 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.

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

• 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.

• 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.

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

• 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.

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

• Jacobi's four-square theoremNarrower topic: The four coordinates range over all integers, not only nonnegative values.

• Nth rootNarrower topic: Integer exponents and integer radicands provide the basic setting for many root questions.

• Elementary algebraNarrower topic: Integer arithmetic supplies many of the number rules used in introductory algebra.

• 0 (number)Narrower topic: Zero is one member of the integers, alongside positive and negative whole numbers.

• Cauchy's formula for repeated integrationNarrower topic: The classical formula counts a whole-number count of successive integrations.

• Lemoine's conjectureNarrower topic: The conjecture quantifies over odd integers above a fixed threshold.

• Proof that π is irrationalNarrower topic: The assumed numerator and denominator are integers.

• Tijdeman's theoremNarrower topic: The fixed gap and the powers in the theorem are integer quantities.