Solutions to the diophantine equation x² + 16∙7ᵇ = y²ʳ

• Main Authors: Yow, Kai Siong, Sapar, Siti Hasana, Low, Cheng Yaw
• Other Authors: School of Computer Science and Engineering
• Format: Article
• Language: English
• Published: 2023
• Subjects: Engineering::Computer science and engineering; Diophantine Equation; Integral Solution
• Online Access: https://hdl.handle.net/10356/164523
• Institution: Nanyang Technological University

We present a method of determining integral solutions to the equation x2 + 16 ∙ 7b = y2r, where x, y, b, r ∈ ℤ+. We observe that the results can be classified into several categories. Under each category, a general formula is obtained using the geometric progression method. We then provide the bound...