About the probability that the number of Fermat primes is infinite.
5530
Intuitively, what separates Mersenne primes from Fermat primes?
98468
Are there infinitely many primes of the form $n!+1$?
60706
Proof that there are infinitely many prime numbers starting with a given digit string
5142
Infinitely many primes of the form $pn+1$
35821
Infinitely many primes for quadratic residues
136279
Infinitely many primes $\equiv 3 \mod 4$
12374
Approximation to the prime counting function
39391
IMO 2005 No 4. : All integers relatively prime to terms of infinite sequence
1702
Proving that there are infinitely many primes with remainder of 2 when divided by 3
78342
When is $\phi(n)$ a prime number?
97021
Do there exist two primes $p<q$ such that $p^n-1\mid q^n-1$ for infinitely many $n$?
45460
Proof verification of a number theory problem involving sequences.
113986
Fermat's Last Theorem: implications (there is no new proof)
36819
Show there are infinitely many primes that are equivalent to 1 mod 8.
47162
Proving there are infinitely many primes of the form $a2^k+1.$
35077
Why does "the probability of a random natural number being prime" make no sense?
112910
Is the set of real numbers really uncountably infinite?