Prime factorization of $x + 1$ given prime decomposition of $x$
116361
Relationship between prime factorizations of $n$ and $n+1$?
9217
Find $n$ such that $x^2 + x + 1$ is a factor of $(x+1)^n - x^n - 1$.
38727
Modular Exponentiation and Primes
75011
Primes of the form $n^2+1$ - hard?
38871
How to obtain the complete factorization of $P_n(X)=\frac{(X+i)^{2n+1} - (X-i)^{2n+1}}{2i} = 0$
131551
$pq\mid pn^q+qn^p+kn$ for some $k,\,$ if $p,q$ are primes
55432
Infinite distinct factorizations into irreducibles for an element
144575
Factoring n, where n=pq and p and q are consecutive primes
344
Prove that if $p\in \mathbb{Z}$ is irreducible, then it is also prime.
119734
Why does prime factorization for LCM work?
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
134352
The number of possible factorizations of a positive integer.
49121
Factorizing a polynomial $f$ in $A[x]$ (with $A$ commutative), where $f$ has a zero in its field of fractions
78343
$4x^2+1$ factors only into $4y+1$ primes
124869
Prime factor of $A=14^7+14^2+1$
95692
Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field
79940
$\binom{p}{i}$ divisible by $p$, with $p$ prime