21 citations · 40 across the 14 of their papers we have counts for
7 papers · 1 filter
On the relation between perfect powers and tetration frozen digits
Marco Ripà
This paper provides a link between integer exponentiation and integer tetration since it is devoted to introducing some peculiar sets of perfect powers characterized by any given v…
Graham's number stable digits: An exact solution
Marco Ripà
In the decimal numeral system, we prove that the well-known Graham's number, (i.e., ( times)), and any base tetration who…
Euclidean Tours in Fairy Chess
Gabriele Di Pietro, Marco Ripà
The present paper aims to extend the knight's tour problem for -dimensional grids of the form to other fairy chess leapers. Accordingly, we constructively show the e…
Solving the years old points problem with the clockwise-algorithm
Marco Ripà
In this paper, we present the clockwise-algorithm that solves the extension in -dimensions of the infamous nine-dot problem, the well-known two-dimensional thinking outside the…
Number of stable digits of any integer tetration
Marco Ripà, Luca Onnis
In the present paper we provide a formula that allows to compute the number of stable digits of any integer tetration base . The number of stable digits, at the g…
Minimum-Link Covering Trails for any Hypercubic Lattice
Marco Ripà
In 1994, Kranakis et al. published a conjecture about the minimum link-length of every rectilinear covering path for the -dimensional grid $P(n,k) := \{0,1, \dots, n-1\} \times…
On some open problems concerning perfect powers
Marco Ripà
The starting point of our paper is Kashihara's open problem number , concerning the sequence of the OEIS, asking how many terms are powers of integers. We confirm his…