New posts in Finite Fields

Is there/can there be a model-theoretic proof of this theorem of arithmetic ?

Addition and Multiplication in $F_4$

Fibonacci numbers mod $p$

Field $\mathbb{Q}(\alpha)$ with $\alpha=\sqrt[3]7+2i$

Determining whether $\Phi_7(x)$ is irreducible over $\mathbb{F}_{11}$

Squares which are not 1 + a square in finite fields of odd characteristic?

Diagonalizability of symmetric bilinear forms over fields of characteristic $2$

Show the polynomial is irreducible in $\textbf Z_2$

Linear independence of Galois conjugates

What are the finite fields for which -1 is not a square?