Zero-sum-free subsets of the unit sphere over F_7

TheoremDB P2628 · zero sum theory

Inferred from the community field; finer classification has not been reviewed.

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓

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Problem statement

Determine the largest subset $A$ of $S=\{(x,y,z)\in\mathbb F_7^3:x^2+y^2+z^2=1\}$ for which no nonempty subset of distinct elements of $A$ sums to zero.

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Resolved. Not Lean-verified

References

[1]TheoremDB P2628 link

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