Is the prime factorisation of Carmichael Numbers always Square Free?
74615
Carmichael number square free
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
21862
Proof of lack of pure prime producing polynomials.
114164
Square-free Integers Factorization
10514
Proof that no polynomial with integer coefficients can only produce primes
63493
Why 4 is not a primitive root modulo p for any prime p?
35821
Infinitely many primes for quadratic residues
72666
Prime Numbers And Perfect Squares
39698
On uniqueness of sums of prime powers
73612
Is there a Non-prime Number that is Divisible only by Numbers Greater than its Square Root?
111935
Irreducible but not prime
131108
Can $3p^4-3p^2+1$ be square number?
63702
There is a prime between $n$ and $n^2$, without Bertrand
59416
Quadratic residues and index w.r.t. primitive root of a odd prime p
102204
Factoring product of two primes from solutions of congruence
122504
Factorisations of permutations
63999
Is the notorious $n^2 + n + 41$ prime generator the last of its type?