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Number Theory · modular arithmetic

Modular Congruence Formula

States that two integers have the same remainder modulo n.

a ≡ b (mod n) ⇔ n | (a − b)

Variables

a, b
integers
n
positive modulus

Reference details

Subject
Number Theory
Topic
modular arithmetic
Plain text
a congruent b mod n iff n divides (a-b)

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