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.
| Mualliflar | Kader, S. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 111-114 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-13 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-13 · Maqolaning asl sahifasi
Integer, power, consecutive, co-prime
| APA | Kader, S. (2026). Integer Powers and Catalan-Mihailescu Theorem. O‘zbekiston matematika jurnali, 70(2), 111-114. https://doi.org/10.29229/uzmj.2026-2-13 |
|---|---|
| GOST (OAK) | Kader, S. Integer Powers and Catalan-Mihailescu Theorem // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 111-114. – DOI: 10.29229/uzmj.2026-2-13. |
| MLA | Kader, S. “Integer Powers and Catalan-Mihailescu Theorem.” O‘zbekiston matematika jurnali, 70(2), 111-114, 2026. https://doi.org/10.29229/uzmj.2026-2-13 |
| Chicago | Kader, S. “Integer Powers and Catalan-Mihailescu Theorem.” O‘zbekiston matematika jurnali, 70(2), 111-114 (2026). https://doi.org/10.29229/uzmj.2026-2-13 |
| Harvard | Kader, S (2026) ‘Integer Powers and Catalan-Mihailescu Theorem’, O‘zbekiston matematika jurnali, 70(2), 111-114. https://doi.org/10.29229/uzmj.2026-2-13 |
| BibTeX | @article{kaders2026,
title = {Integer Powers and Catalan-Mihailescu Theorem},
author = {Kader, S.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {111-114},
doi = {10.29229/uzmj.2026-2-13},
url = {https://doi.org/10.29229/uzmj.2026-2-13}
} |
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