Gaussian primes

Gaussian primes are special numbers within the set of complex numbers where both the real and imaginary parts are integers (called Gaussian integers). A Gaussian prime is a number that cannot be factored into the product of two other Gaussian integers, just like prime numbers in regular integers. Their identification depends on their usual prime properties, but also on their position on the complex plane, with certain forms of primes in regular integers remaining prime in the Gaussian integers. Essentially, Gaussian primes are the building blocks of the complex number system in this integer grid.