Actually complete the proof of two conjectures related with polynomials and their regularity.
Comment: I can't really tell you what are the conjectures because this is topic of my future science research paper, I hope. I'll say they are needed for proving the correctness and polynomiality of my algorithm for CNF-SAT.
In case of success:
Make a package of number-theoretic programs which calculate integer factorization and a number of related functions (Moebius mu, number of distinct and total factors, number of divisors, sum of divisors and so on)
Understand if the work of Ahmad Sabihi "On the Firoozbakht's conjecture" is actually correct (I found some debatable fragment around formula 2.4): https://arxiv.org/abs/1603.08917
Try to understand how to prove/disprove (probable) primality for numbers such as 5^^^5+268.
More to be add