Can a complex number be prime?

Can a complex number be prime?

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Most assuredly. In particular, the prime numbers, being complex, furnish an example of this.

By complex I meant imaginary

Imaginary integers are isomorphic to integers so it could be a yes.
But what would be the point?

>prime numbers are complex

Couldnt it be useful to cryptography

Spotted the underclassmen undergrads.

Sure. I mean can't any normal real normal be written in complex notation where the number of imaginaries is simply 0?

Gaussian Integers

Gaussian primes are the complex analogous to ordinary primes.
a+ib is prime if there are no integers c, d, e, f other than 1, a and b for (c+di)(e+fi)=a+bi, I think. Look it up.