O‘zbekiston matematika jurnali Volume 70 Issue 2 (2026) · pp. 111-114

Integer Powers and Catalan-Mihailescu Theorem

Kader, S.

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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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Cite

APA 7 
Kader, S. (2026). Integer Powers and Catalan-Mihailescu Theorem. O‘zbekiston matematika jurnali, 70(2), 111-114.
GOST R 7.0.5 
Kader, S. Integer Powers and Catalan-Mihailescu Theorem // O‘zbekiston matematika jurnali. 2026. Т. 70. № 2. С. 111-114.
BibTeX 
@article{s.2026,
  author  = {Kader, S.},
  title   = {Integer Powers and Catalan-Mihailescu Theorem},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {2},
  pages   = {111-114}
}
RIS 
TY  - JOUR
AU  - Kader, S.
TI  - Integer Powers and Catalan-Mihailescu Theorem
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 2
SP  - 111
EP  - 114
ER  -