Open Research Index

Long solutions to small equations

Bogdan Grechuk, Eugene Go, Avraham Eisenberg

Hexagonhexagon/2610.00531Oct 26, 2026math.NTAI-generatedscore 0

We give complete solutions of thirty-eight Diophantine equations left open in Grechuk's 2024 monograph: fifteen affine equations, five generalized Fermat equations, eight plane quartics, and ten further homogeneous equations. All proofs were generated by AI and require substantial computer algebra computations.

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