This work suggests hypotheses about number intervals, containing at least one or more primes. To check each hypothesis, a Python programming language-based code was created.
Research has shown that conjectures suggested in this work, are unique strengthening for already set conjectures about the research topic. Addendums contain codes, that are used to check set conjecture in defined number range.
The scientistic research has been written in Latvian. It consists of 16 pages, 4 picture, 2 addendums, 5 tables. 7 references have been used.
Key words: primes, prime-counting function, Legendre’s conjecture (3rd Landau problem), Desboves conjecture, Opperman’s conjecture.