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On the Solutions of the Diophantine Equation x3y3z3n

Kenji KOYAMA

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Summary :

We have done a computer search for solutions of the equation x3y3z3n in the range max (|x|, |y|, |z|) 3414387 and 0 n 1000. We have discovered 21 new integer solutions for n {39, 143, 180, 231, 312, 321, 367, 439, 462, 516, 542, 556, 660, 663, 754, 777, 870}. As a result, there are 52 values of n (except n 4 (mod9)) for which no solutions are found.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E78-A No.3 pp.444-449
Publication Date
1995/03/25
Publicized
Online ISSN
DOI
Type of Manuscript
LETTER
Category
Information Security and Cryptography

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