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math.GM2026
On the relation between perfect powers and tetration frozen digits
Marco RipÃ
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…
math.GM2025
Graham's number stable digits: An exact solution
Marco RipÃ
In the decimal numeral system, we prove that the well-known Graham's number, (i.e., ( times)), and any base tetration who…
math.GM2025
Minimum-Link Covering Trails for any Hypercubic Lattice
Marco RipÃ
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…
math.GM2024
Euclidean Tours in Fairy Chess
Gabriele Di Pietro, Marco RipÃ
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…