Does there exist an infinite field with characteristic $p$ for any prime $p$ that is not too big?
97904
Example of infinite field of characteristic $p\neq 0$
84746
elementary proof that infinite primes quadratic residue modulo $p$
28803
Extension of degree 2 with characteristic not 2
120401
Does there exist a pair of infinite fields, the additive group of one isomorphic to the multiplicative group of the other?
29626
Is there a proper subfield $K\subset \mathbb R$ such that $[\mathbb R:K]$ is finite?
132423
Non trivial valuation over a finite extension $F/\mathbb{Q}_p$ is equivalent to the one induced by $v_p$
65131
Can infinitely many primes lie over a prime?
5142
Infinitely many primes of the form $pn+1$
115004
If $x\notin\mathbb Q$, then $\left|x-\frac{p}{q}\right|<\frac{1}{q^2}$ for infinitely many $\frac{p}{q}$?
144050
Is there an infinite number of primes constructed as in Euclid's proof?
34807
Localization at finitely many minimal prime ideals
141418
When is $\mathbb{F}_p[x]/(x^2-2)\simeq\mathbb{F}_p[x]/(x^2-3)$ for small primes?
112045
A property of minimal prime ideal
142707
Intermediate fields of a finite field extension that is not separable
61428
Show that an algebraically closed field must be infinite.
93721
Are numbers in which all substrings are primes finite regardless of base?
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?