Prove that $p=13$, given that $(p-1)/4$ and $(p+1)/2$ are prime.
32618
Suppose $p$ is a prime number such that $(p-1)/4$ and $(p+1)/2$ are also primes. Show that $p=13$
50663
prove or disprove: For a prime number p, there is a positive integer n such that $p+1 $= $n^2$ if and only if $ p = 3.$
131488
Show that $p^3+4$ is prime
98871
How to prove that if a prime divides a Fermat Number then $p=k\cdot 2^{n+2}+1$?
51382
Proving that either $2^n-1 $ or $ 2^n+1$ is not prime
113763
Let $p$,$\ q$ be prime numbers and $n\in \mathbb{N}$ such that $p \nmid n-1$. If $p \mid n^q-1$, then $q \mid p-1$.
32166
Prove: if $n\mid 7^n+6^n$ and $n>1$, then $13\mid n$
127816
Number theory proof mod p
119630
For an odd prime $p$, $\;p =1 \pmod 4,\; \;x^2+1 = 0 \pmod p$
118629
$p,q$ odd primes, $q\mid a^p-1\Rightarrow q\mid a-1$ or $\,2p\mid q-1$
59036
If $a^{n}-1$ is prime then $a=2$ and $n$ is prime?
34954
If $11..11$($n$ times 1) is prime, prove that $n$ is also prime
5978
Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
96844
Prove that 10101...10101 is NOT a prime.
64453
Prove if $(a,p)=1$, then $\{a,2a,3a,...,pa\}$ is a complete residue system modulo $p$.
117516
Prime trios of the form $p$,$p+2$,$p+4$
34692
Prove if $ p$ is a prime of the form $3n+1$, then $p$ is also of the form $6m+1$