Integer Powers and Catalan-Mihailescu Theorem

Authors

  • S. Kader Author

DOI:

https://doi.org/10.29229/uzmj.2026-2-13

Keywords:

Integer, power, consecutive, co-prime

Abstract

Catalan-Mihailescu Theorem states that the only case of difference between two consecutive powers equals 1 is $3^2 -2^3$. This article provides some elementary analyses of integer powers, and proves in that light, Catalan-Mihailescu Theorem.

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Published

2026-06-12

Issue

Vol. 70 No. 2 (2026): Uzbek Mathematical Journal

Section

Published

How to Cite

Integer Powers and Catalan-Mihailescu Theorem. (2026). Uzbek Mathematical Journal, 70(2), 111-114. https://doi.org/10.29229/uzmj.2026-2-13