Legendre symbol - Find all primes such that $(7/p)=1$
136476
Find the values of $p$ such that $\left( \frac{7}{p} \right )= 1$ (Legendre Symbol)
38727
Modular Exponentiation and Primes
158106
Prove that 1 less than the number of equivalence classes divides $p-1$ where $p$ is prime
66851
If $p,q$ are primes $(pq,a)=1$ and $p-1|q-1$ then prove $a^{q-1}\equiv 1\pmod{pq}$
18053
Find all prime $p$ such that $x^2=-1$ has a solution in $\mathbb{Z}/p\mathbb{Z}$
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
5841
Proving prime $p$ divides $\binom{p}{k}$ for $k\in\{1,\ldots,p-1\}$
137230
Find all pairs of primes $p,q$ such that $pq \mid 2^p +2^q$
73515
Primes Number Theory
59298
Proof that Legendre symbol $\Big(\frac{a}{p}\Big)$ is $a^{\frac{p-1}{2}}$
51520
Prove that the only prime triple is 3, 5, 7
73095
Foundational proof for Mersenne primes
87624
If $\mathrm{char}(K)=p$ is prime, $L/K$ is separable if and only if $K(\alpha) =K(\alpha^p)$ for all $\alpha \in L$
88656
For $p$ prime, show that $\Phi_{p^n}(x) = 1 + x^{p^{n-1}} + x^{2p^{n-2}} + \dots +x^{(p-1)^{p^n-1}}$
41641
$(n-7)(n+7)=$ some perfect square
157884
For any prime $p>3$ show that 3 divides $2p^2+1$
84879
Solving infinite sums with primes.