Why does the characteristic of a finite field always have to be prime?
70776
Characteristic of a field is $0$ or prime
140106
How to prove a finite field is not ordered?
94174
Ring of polynomials over a field has infinitely many primes
81844
How would you show that field automorphisms fix prime subfields?
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
121479
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
86626
Finite fields, existence of field of order $p^n$,proof help
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
80514
Why are elliptic curves constructed using prime fields and not composite fields?
3703
Order of finite fields is $p^n$
95937
Why aren't all prime subfields equal to {0,1}?
108380
Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal
96549
Can we have a perfect field of characteristic $p$ with a non-archimedean valuation?
83586
Finite fields and primitive elements
104851
A finite field cannot be an ordered field.
73515
Primes Number Theory
114578
Design properties of the Rijndael finite field?