Sigma Vô Conjecture -Vô conjecture 21(VC21)

In this paper, a new conjecture in number theory is introduced, termed the "Sigma Vô Conjecture," concerning the sigma function (sum of divisors) and the existence of infinitely many primes in a specific family. Starting from the equation $\sigma(n)=2n-2k$ with a special condition on $k$, the family of "Sigma Vô" primes is defined, and the conjecture is stated that, for every odd prime $p$ with $p\equiv2 \pmod 3$, this family contains infinitely many primes. Consequences include the existence of infinitely many solutions to the related equations.