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A topological index is a molecular descriptor. From this index, it is possible to search mathematical values and further investigate from physicochemical properties of a molecule. There are different types of these indices like based on degrees, distance and counting related topological indices. Carbon nanotubes (CNTs) are types of nanostructures having a cylindrical shape. We also compute First Zagreb index and Second Zagreb index of nanotubes.We determine Hyper Zagreb index, First and Second Zagreb polynomial, and Sum-Connectivity index of carbon nanotubes.