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Unique Solution of Diophantine Equation by ghelichkhanimohammadreza55 is a document available to read on EtoBox.
The article proves that the Diophantine equation nx + 13y = z^2 has exactly one solution (n, x, y, z) = (2, 3, 0, 3) for positive integer n such that n ≡ 2 (mod 39) and n + 1 is not a square number. This unique solution is established through various lemmas and properties of congruences. Additionally, the paper discusses the implications of this result on other related Diophantine equations.
- Author
- ghelichkhanimohammadreza55
- Language
- EN