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All Solutions of the Diophantine Equation px + q2 =z4 Where p and q are Prime Numbers |
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| รหัสดีโอไอ | |
| Creator | Sirichan Vesarachasart |
| Title | All Solutions of the Diophantine Equation px + q2 =z4 Where p and q are Prime Numbers |
| Contributor | Kawinna Sakornthai, Nattida Phumiphong, Wipakamon Lueangsubthawee |
| Publisher | Thammasat University |
| Publication Year | 2563 |
| Journal Title | Thai Journal of Science and Technology |
| Journal Vol. | 9 |
| Journal No. | 2 |
| Page no. | 207-210 |
| Keyword | Diophantine equation, non-negative integer solution |
| URL Website | https://www.tci-thaijo.org/ |
| Website title | THAIJO |
| ISSN | 2286-7333 |
| Abstract | This research shows that there are only two non-negative integer solutions (x,z,p,q) of the Diophantine equation px + q2 = z4 where p and q are prime numbers, those are (1,2,7,3) and (5,3,2,7). |