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Elementary Number Theory

Definition

Additive

Theorem

All Numbers Have Prime Divisors

Theorem

All Numbers have Prime Factorization

Definition

Arithmetic Function

Theorem

b-ary Representation Theorem

Definition

Binary Function (f_b)

Definition

Carmichael Number

Theorem

Chinese Remainder Theorem

Definition

Composite Number

Definition

Congruence

Definition

Coprime

Definition

Equivalence Relation

Theorem

Euclidean Algorithm

Theorem

Euler's Theorem

Theorem

Euler's Totient Function in Terms of Mobius Function

Definition

Euler's Totient Function ϕ

Theorem

Fermat's Little Theorem

Definition

Finite Field of Order p

Theorem

Fundamental Theorem of Arithmetic

Theorem

Generalized Chinese Remainder Theorem

Definition

Homomorphism

Theorem

If a Prime divides ab it divides one of a or b

Definition

Isomorphism

Definition

Least Common Multiple

Definition

Möbius Function

Theorem

Möbius Inversion Formula

Definition

Multiplicative

Definition

p-adic Valuation (v_p)

Definition

Parity

Definition

Perfect Square

Definition

Positive Divisor Counter Function (d)

Definition

Prime Number

Definition

Primitive

Definition

Proper Divisor

Definition

Pseudoprime

Definition

Pythagorean Triple

Theorem

Solution to Congruence

Definition

Squarefree Number

Definition

The Set of Residue Classes mod p

Theorem

Theorem 1.1

Theorem

Theorem 1.16

Theorem

Theorem 1.17

Theorem

Theorem 1.18

Theorem

Theorem 1.19

Theorem

Theorem 1.22

Theorem

Theorem 1.6

Definition

Unit

Theorem

Writing Primitive Pythagorean Triples