Searching for proofs of equivalent conditions for the Riemann Hypothesis. These equivalent conditions were previously established by authors such as Srinivasa Ramanujan, Lagarias, Gronwall, and Robin. This publication is devoted to finding evidence in favor of the Riemann hypothesis. It follows up directly on the articles with the reference (7), (8), (9). Articles with the reference (7), (8), (9) contain a sequence of my thoughts on how to find evidence of equivalent conditions for RH, as Srinivasa Ramanujan (Ramanujan), Lagarias, Gronwall, Robin did in the past (see references (1), (2). )). This publication should be read in the context of the articles - references (7), (8), (9). In the publication, I will gradually present the steps and procedures that lead to the proof of equivalent conditions for RH. NOTE: log x = ln x, log x - the natural logarithm.