$(a+b)^n=a^n+b^n$ in a field of characteristic $n$
48211
When is $(a+b)^n \equiv a^n+b^n$?
144394
Order 2 elements in finite characteristic field
130720
Special linear algebra over finite field with characteristic 3
65224
Prove that if $a^2 = a$ for all elements of the ring $R$, then $R$ has characteristic 2. Is the converse of the statement true?
89175
Proof of $(a+b)^{n+1}$
65459
Roots of polynomials in field of prime characteristic p
109304
The roots of the equation $z^n=(1+z)^n$...
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
2522
Why is $a^n - b^n$ divisible by $a-b$?
6984
Inverting $a+b\sqrt{2}$ in the field $\Bbb Q(\sqrt{2})$
48081
Prove that for all $n \in \mathbb{N}$: $2^{n-1}(a^n + b^n) \ge (a + b)^n$
8504
Factoring $x^n + y^n$ over the integers
38549
$\mathbb{Q}(\sqrt{n}) \cong \mathbb{Q}(\sqrt{m})$ iff $n=m$
105363
$\mathbb Z^n/\langle (a,...,a) \rangle \cong \mathbb Z^{n-1} \oplus \mathbb Z/\langle a \rangle$
68065
Quadratic extensions in characteristic $2$
46780
Proving $((a\bmod n) (b\bmod n))\bmod n = ab\bmod n $
46147
Proving $(\forall a\in\mathbb{Z^+})(m\in\mathbb{Z^+}\to a^m\equiv a^{m-\phi(m)}\pmod{m})$