E. M. Dzhambetov, A. Ya. Kanel-Belov, I. S. Shudueva, “Properties of power reminders of natural numbers in various number systems”, Math. Ed., 2020, Issue 1(93),Pages <nobr>46

Students and teachers of mathematical specialties

Properties of power reminders of natural numbers in various number systems

E. M. Dzhambetov^a, A. Ya. Kanel-Belov^b, I. S. Shudueva^a

^a Chechen State Pedagogical Institute
^b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: Unambiguous, two-digit, three-digit numbers are distinguished, all natural degrees of which are comparable with the number itself modulo $10^k$ for all $k$.

Keywords: comparisons, modulus, modulo deductions, residue classes, power residues.

UDC: 511.172