find all p prime number such that : sum of divisor $p^{4}$ a perfect square
94019
Find all $p$'s such that $p^4 + p^3 + p^2 + p +1$ is a perfect square.
91069
Express an even number as a sum of primes
152231
Computing the product of p/(p - 2) over the odd primes
71788
Prove existence of multiplicative inverse modulo p when p is prime
134121
Determining all the positive integers $n$ such that $n^4+n^3+n^2+n+1$ is a perfect square.
18402
Sum of the reciprocals of divisors of a perfect number is $2$?
84167
Regarding the sum $\sum_{p \ \text{prime}} \sin p$
151985
If $p$ is a prime and $x,y \in \mathbb{Z}$, then $(x+y)^p \equiv x^p+y^p \pmod{p}$
19979
Why does $p^2+8$ prime imply $p^3+4$ prime
131488
Show that $p^3+4$ is prime
65826
Find a prime number $p$ and an integer $b<p$ such that $p$ divides $b^{p−1}−1$.
40156
Determine all primes $p$ for which $5$ is a quadratic residue modulo $p$
95162
For a odd prime $p, \exists a,b$ such that $a^2 + ab + b^2 \equiv 0 \pmod{p} \iff \exists x,y $ such taht $x^2 + xy + y^2 = p$?
56328
Find p is the prime number which $\frac{p+1}{2}$ and $\frac{p^2+1}{2}$ both are square number.
33735
The square of an integer is congruent to 0 or 1 mod 4
18405
What is the greatest integer that divides $p^4-1$ for every prime number $p$ greater than $5$?
152591
For which prime numbers $p$ does the congruence $x^2 + x + 1 \equiv 0 \pmod{p}$ have solutions?