New posts in Prime Factorization

Is $every$ prime factor of $\frac{n^{163}-1}{n-1}$ either $163$ or $1\;\text{mod}\;163$?

The lowest number that is a multiple of both 60 and the integer n is 180. Find the smallest possible value of n.

What is the most efficient algorithm for factorisation when an approximate value of one factor is known

Prove that $\frac{2^{122}+1}{5}$ is a composite number

Is $(3^p-1)/2$ always squarefree?

Total number of divisors of factorial of a number

Can a number be equal to the sum of the squares of its prime divisors?

Proving gcd($a,b$)lcm($a,b$) = $|ab|$

Is 641 the Smallest Factor of any Composite Fermat Number?

Is $n^2 + n + 1$ prime for all n?