Do we correctly imagine the building of ancient and medieval history today? Created in the 16th-17th centuries CE by I. Scaliger and D. Petavius, the version of chronology and history adopted today seems to contain major errors. This was understood and discussed by many outstanding scientists over a long period. But building a new, consistent concept of history has proved very challenging. Since 1973, the author of the book began to study the problem, and after a while - under his leadership - a group of mathematicians from Moscow State University. M.V. Lomonosov.