An irreducible polynomial $P(x)$ of degree $n$ over a finite field
${\mathbb{F}}_{p}$ is *primitive*, if its order is equal to ${p}^{n}-1$.

This tool allows you to search for primitive polynomials over prime fields ${\mathbb{F}}_{p}$, where $p$ is a prime. This is a service to education and scientific research; we strongly advise against using the results of these searches in real crypting.

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Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

Description: search for primitive polynomials over a finite field. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, algebra, cryptology, finite_field, order, coding, cyclic_code