Gaussian Integers ℤ[i]

The Gaussian integers Z[i] = {a+bi : a,b ∈ Z} form a Euclidean domain. Color encodes the norm N(a+bi) = a²+b². Click any point to see its factorization.

Click a lattice point to inspect it
Unit (norm 1)
Gaussian prime
Composite (norm = prime)
Composite