Are there infinitely many primes that are 1 more a square-free number?
90102
How to prove that $p-1$ is squarefree infinitely often?
47239
For $p,q$ primes such that $q|p-1$, show there is only one non-abelian group of order $pq$, up to isomorphism
81723
Infinitely many primes proof using Euler's totient
4061
Proving there are infinitely many pairs of square-full consecutive integers
45461
Is there a prime which is the form of $10^n + 1$ except $2, 11, 101$?
2147
Different ways to prove there are infinitely many primes?
78342
When is $\phi(n)$ a prime number?
78407
Are there infinitely-many numbers that are both square and triangular?
37947
Prove that if a number $n > 1$ is not prime, then it has a prime factor $\le \sqrt{n}$.
78044
Sieve of eratosthenes infinite primes
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
146512
Prove that for every prime number $p>3$, $4p^2+1$ can be written as the sum of three square numbers
44857
Why the $(n+1)$th prime number cannot exceed the smallest prime divisor of $p_1\dotsc p_n + 1$
79208
Is the number $-1$ prime?
34387
Is the number of irreducibles in any number field infinite?
138409
Proof of infinitely many primes, clarification
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 $a$