The primitive solutions to the Diophantine equation
2X⁴ + Y⁴ =Z³

Gustav Söderlund
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 23, 2017, Number 2, Pages 36–44
Full paper (PDF, 181 Kb)

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Authors and affiliations

Gustav Söderlund
Kettilsgatan 4A 582 21 Linköping, Sweden

Abstract

We find all primitive non-zero integer solutions to the title equation, namely (x, y, z) =(±5,±3, 11). The proofs involved are based solely on elementary methods with no use of computers and the elliptic curve machinery.

Keywords

• Diophantine equations
• Primitive non-zero solutions

AMS Classification

• 11D41

References

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