Does Fermat's Little Theorem tell us anything about $a^{\frac{p - 1}{2}}$?
59298
Proof that Legendre symbol $\Big(\frac{a}{p}\Big)$ is $a^{\frac{p-1}{2}}$
42885
Fermat primes relation to $2^n+1$
113986
Fermat's Last Theorem: implications (there is no new proof)
19164
On the GCD of a Pair of Fermat Numbers
35478
Polynomial $p(a) = 1$, why does it have at most 2 integer roots?
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
158863
How to prove $\sum_p p^{-2} < \frac{1}{2}$?
155190
Stone-Weierstrass theorem with $p(1/x)$
89590
The number of solutions of $ax^2+by^2\equiv 1\pmod{p}$ is $ p-\left(\frac{-ab}{p}\right)$
136318
Where does the power $2$ come from in the Pythagorean theorem?
6332
If $p\equiv1\mod{4}$, then $p=a^{2}+b^{2}$ where a and b are uniquely determined
141418
When is $\mathbb{F}_p[x]/(x^2-2)\simeq\mathbb{F}_p[x]/(x^2-3)$ for small primes?
4140
Fermat's Last Theorem with negative exponent
140825
$\sum_{n=1}^{p-1}{\frac{1}{n}} = \frac{A_p}{B_p}$ What is $A_p$ (mod $p^2$) where $\frac{A_p}{B_p}$ is a reduced form fraction?
93549
Wilson and Fermat's Theorem
125707
A simple proof (hopefully) for $2^x \neq 0$
14480
Proving $(P(AB))^2+(P(AB^c))^2+(P(A^cB))^2+(P(A^cB^c))^2\ge\frac{1}{4}$ for any events $A$ and $B$