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Non-Existence of Non-Negative Integer Solutions of the Diophantine Equation ???? +???? = ??2 |
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| รหัสดีโอไอ | |
| Creator | Suton Tadee |
| Title | Non-Existence of Non-Negative Integer Solutions of the Diophantine Equation ???? +???? = ??2 |
| Contributor | Apirat Siraworakun |
| Publisher | Faculty of Science, Ubon Ratchathani University |
| Publication Year | 2566 |
| Journal Title | Journal of Science and Science Education |
| Journal Vol. | 6 |
| Journal No. | 1 |
| Page no. | 25-30 |
| Keyword | Diophantine equation, non-negative integer solution |
| URL Website | https://so04.tci-thaijo.org/index.php/JSSE |
| Website title | Journal of Science and Science Education |
| ISSN | ISSN 2697-410X |
| Abstract | In this paper, we show that if ???? and ???? are positive integers and there exists a prime ???? with ?????3, 5 (mod 8)such that ???? ?1 (mod????) and ?????1 (mod????), then the Diophantine equation ???????? +????????=????2 has no non-negative integer solution. |
