3 problems

Let $K_r$ denote a primary pseudoperfect number with $r$ prime factors. The claim concerns those $K_r$ divisible by $6$. Primary pseudoperfect congruence conjecture. For all…

A primary pseudoperfect number is a positive integer $K$ with the defining property that, for every prime divisor $p$ of $K$, one has $1/K+1/p$ equal to an integer. Let $K_r$ denot…

Density conjecture. If $\mathfrak{N}_Q$ and $\mathfrak{N}_{Q'}$ are non-empty and $\mathfrak{n}_Q<\mathfrak{n}_{Q'}$, then