Determine all prime numbers p such that p^2+2 is also a prime number
58114
For which primes p is $p^2 + 2$ also prime?
100984
Prove that if prime $p$ divide $a_{2k}-2$, then $p$ divide also $a_{2k+1}-1$.
112120
Find all primes of the form $2^{2^n} + 5$ for a nonnegative integer n
1702
Proving that there are infinitely many primes with remainder of 2 when divided by 3
94917
Prove that for every prime $p$, there exists a solution to $(x^2-2)(x^2-6)(x^2-3) \equiv 0 \mod(p)$
34588
Number Theory: $p!+p=n^2$, $p$ = prime
78917
Show that for any prime numbers $p,q,r$, one has $p^2+q^2 \ne r^2$.
113994
Let $p$ be a prime of the form $3k+2$ that divides $a^2+ab+b^2$ for some integers $a,b$. Prove that $a,b$ are both divisible by $p$.
12365
Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
27963
How many ways a composite number can be resolved into two factors which are prime to each other?
63702
There is a prime between $n$ and $n^2$, without Bertrand
123296
Determine whether a number is prime
75011
Primes of the form $n^2+1$ - hard?
4943
If $p,q,r$ are all primes,and $p|qr-1$,$q|pr-1$ and $r|pq-1$,find all possible values of $pqr$.
32618
Suppose $p$ is a prime number such that $(p-1)/4$ and $(p+1)/2$ are also primes. Show that $p=13$
18053
Find all prime $p$ such that $x^2=-1$ has a solution in $\mathbb{Z}/p\mathbb{Z}$
136310
Prime number in a polynomial expression