If $a$ is a positive integer of the type $3n+2$,then pove that at-least one prime divisor of $a$ is of the form $3n+2$
15348
prime divisor of $3n+2$ proof
110809
What can primes, except 2, 3, and 5, be congruent to $\pmod {30}$?
9043
finding infinetely many primes in three different forms of prime numbers below
106111
Understanding that there are infinitely many primes of form $4n+3$
75516
Relatively Prime Numbers and Number of Divisors of n
80399
Is $29$ the only prime of the form $p^p+2$?
52530
There exists a prime congruent to $m$ mod $p$
114393
If $a$ is divisible by $4$, then there exist int $b$ and $c$ such that $a = b^2 - c^2$
57275
On the primality of integers of the form $p^2+k$
15168
If $a,b$ are positive integers such that $\gcd(a,b)=1$, then show that $\gcd(a+b, a-b)=1$ or $2$. and $\gcd(a^2+b^2, a^2-b^2)=1$ or $2 $
128199
Proving gcd(a, a+2) is 1 or 2 for every integer a?
146725
Are numbers of the form $n^2+n+17$ always prime
146851
Prove that $-3$ is a quadratic residue mod an odd prime $>3$ if and only if $p$ is of the form of $6n+1$
58418
Does there exist a set of exactly five positive integers such that the sum of any three distinct elements is prime?
25573
If $\gcd(a,b)=1$, then $\gcd(a+b,a^2 -ab+b^2)=1$ or $3$.
116970
On the number divisors of a number
42376
Let $p$ be prime and $(\frac{-3}p)=1$. Prove that $p$ is of the form $p=a^2+3b^2$