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PERFECT POWERS AS DIFFERENCE OF PERRIN NUMBERS AND PADOVAN NUMBERS

  • Merve Guney Duman (Fundamental Science in Engineering, Sakarya University of Applied Sciences)
  • Received : 2023.10.22
  • Accepted : 2024.09.11
  • Published : 2024.12.20
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Abstract

In this paper, we investigate the perfect powers that are the difference between Perrin numbers (Rk)k≥0 and Padovan numbers (Pk)k≥0. Hence, we solve the equations Pn = xa, 2Pn = xa, Pn - Rm = xa, or Rn - Pm = xa such that a ≥ 1 and 2 ≤ x ≤ 10 are positive integers and n, m, and k are non-negative integers.

Keywords

Acknowledgement

I would like to thank the referees for helpful suggestions.

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