Soft Question- Proving a number $p$ is prime
58935
If $p$ and $p^2+8$ are both prime numbers, then $p^3+4$ is prime.
147101
Show that if $p>5$ is prime, then $240 \mid (p^4-1)$
119486
Upper and Lower bounds on the nth prime number
75733
Divisibility of prime numbers
138409
Proof of infinitely many primes, clarification
136856
Diophantine equation with a prime number
2147
Different ways to prove there are infinitely many primes?
127816
Number theory proof mod p
131385
How to provide a counterexample for if $n$ is prime, then $2^n -1$ is prime
121890
Proof that $ p $ | ${ p^n \choose k } $ for any prime $p$ and $ k < p^n$
54286
Let $p$ a prime number, then prove that : $\sum \limits_{k=0}^{p} \binom {p}{k} \binom{p+k}{k} \equiv 2^p +1 \pmod{p^2}$
111490
Proof that every number has at least one prime factor
12365
Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
81723
Infinitely many primes proof using Euler's totient
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 $a$
78342
When is $\phi(n)$ a prime number?
54547
Prove this number must be a prime number or 1.