**A congruence relation** (or simply **congruence**) is an equivalence relation.

Let a, b, m € Z and m ≥ 2. Then ‘a’ is said to be **congruent to ‘b’ modulo m **if m|(a – b) i.e., **a ≡ b (mod m) ⇔ m|(a – b) **

For a given positive integer ** n**, two integers

*and*

**a***are called*

**b****congruent modulo.**

** **

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