Is Z/p a finite field only when p is prime number?
76813
The ring $ℤ/nℤ$ is a field if and only if $n$ is prime
20218
Is this field extension finite?
75970
$\mathbb Z[1/2]$ is not finitely generated?
111967
Let $p$ be a prime number. Prove that there exists $x∈Z$ for which $p|x^2−x+ 3$ if and only if there exists $y∈Z$ for which $p|y^2−y+ 25$.
78455
Prove that a nonzero integer p is prime if and only if the ideal (p) is maximal in Z.
78350
When does a finite ring become a finite field?
68221
Question regardles primes and the fundamental theorem of arithmetic
95937
Why aren't all prime subfields equal to {0,1}?
118452
how to prove $\mathbb Z_n$ has divisors of zero if and only if $n$ is not prime
52530
There exists a prime congruent to $m$ mod $p$
96427
Why $f^{\prime}(z)=u_{x}+iv_{x}$?
61899
Prove that the language $\{bin(p) \mid p\ \text{is prime}\}$ is not regular (prime numbers)
3703
Order of finite fields is $p^n$
7452
Splitting of primes in the compositum of fields
119305
Is the splitting field equal to the quotient $k[x]/(f(x))$ for finite fields?
116594
Finite fields are isomorphic
48405
Why does the characteristic of a finite field always have to be prime?