Find the primes $p$ such that $\frac{2^{p-1}-1}{p}$ is a square number.
38498
Find all primes $p$ such that $(2^{p-1}-1)/p$ is a perfect square
153862
A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.
153869
Under what $p$, $-1$ is a square in $\mathbf F_p$?
77806
Proving if $a$ is not a multiple of prime $p$, then an integer $b$ exists such that $p^b - 1$ is a multiple of $a$
107502
Let $p \geq 2$. Prove that if $2^p-1$ is prime then $p$ must also be prime.
75733
Divisibility of prime numbers
42885
Fermat primes relation to $2^n+1$
119630
For an odd prime $p$, $\;p =1 \pmod 4,\; \;x^2+1 = 0 \pmod p$
92737
primes whose difference is a multiple of $n$
95111
Elementary proof for $\sqrt{p_{n+1}} \notin \mathbb{Q}(\sqrt{p_1}, \sqrt{p_2}, \ldots, \sqrt{p_n})$ where $p_i$ are different prime numbers.
18053
Find all prime $p$ such that $x^2=-1$ has a solution in $\mathbb{Z}/p\mathbb{Z}$
44790
Find $n$ for which $\frac{n(n+1)}{2}$ is perfect square
20980
Prove that $\frac{p^p-1}{p-1}$ is not prime if $p \equiv 1 \pmod 4$
126471
At least one prime between $\sqrt{n}$ and $n$?
130499
How can $p^{q+1}+q^{p+1}$ be a perfect square?
44600
How can I prove: if $p $ is prime and $n>1$, then $ p^{\frac1n} $ is irrational?
4943
If $p,q,r$ are all primes,and $p|qr-1$,$q|pr-1$ and $r|pq-1$,find all possible values of $pqr$.