Sigma Vô Conjecture -Vô conjecture 21(VC21)

This paper introduces a new conjecture in number theory, termed the \emph{Sigma Vô Conjecture}, concerning the divisor sum function $\sigma(n)$ and the existence of infinitely many primes in a specific family. Starting from the equation\[\sigma(n) = 2n - 2k,\]with a special condition imposed on the integer $k$, we define a family of primes called \emph{Sigma Vô primes}. The conjecture states that, for every odd prime $p$, this family contains infinitely many primes. Consequences of this conjecture include the existence of infinitely many solutions to the associated Diophantine equations derived from the relation above.