On the Solutions of the Diophantine Equations P_k=R_m R_n and R_k=P_m P_n

This study aims to find all possible solutions (k,m,n) of the Diophantine equations P_k=R_m R_n and R_k=P_m P_n . Our proof is conducted with the famous Matveev theorem and Dujella-Pethő reduction lemma.

Authors

Ahmet Daşdemir
Ahmet Emin

Institutions

Karabük University (TR)
Kastamonu University (TR)

Publication Details

Journal: Adıyaman üniversitesi fen bilimleri dergisi
Published: 2025-12-31
DOI: https://doi.org/10.37094/adyujsci.1666370
Primary Topic: Advanced Mathematical Theories and Applications
Type: article
Field-Weighted Citation Impact: 0.00

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article

On the Solutions of the Diophantine Equations P_k=R_m R_n and R_k=P_m P_n

Ahmet Daşdemir, Ahmet Emin

Dec 31, 2025

Adıyaman üniversitesi fen bilimleri dergisi

Advanced Mathematical Theories and Applications

article

On the Solutions of the Diophantine Equations P_k=R_m R_n and R_k=P_m P_n

Ahmet Daşdemir, Ahmet Emin

December 31, 2025article en

Abstract

Adıyaman üniversitesi fen bilimleri dergisiVol. 15(2)

Karabük University (TR), Kastamonu University (TR)

Openalex Percentile: Top 28%

Advanced Mathematical Theories and Applications

DOI Open Access PDF OpenAlex

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On the Solutions of the Diophantine Equations P_k=R_m R_n and R_k=P_m P_n — Ahmet Daşdemir, Ahmet Emin · Adıyaman üniversitesi fen bilimleri dergisi (2025) | TGRS Research Map | TGRS