Severe humiliation by my university's staff notwithstanding, I have taken it upon me to investigate several problems in number theory, and I wrote down the results, see
https://www.researchgate.net/publication/356006809_SOME_ASYMPTOTIC_LAWS_IN_THE_THEORY_OF_PRIMES
and
https://www.researchgate.net/publication/356020318_NON-LINEAR_SIFTING_PROBLEMS
They are not long and require only the definition of arithmetic semigroups, as well as what they call the fundamental lemma of sieve theory.
Over at Academia Stack Exchange, it was suggested to me to create a student group that might give me some feedback. Unfortunately, my standing is rather bad, so that I thought I might put this before you.
I'd be very grateful for any comments or suggestions you might have. Should I add more detail? Are there any mistakes?