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Erdős Problem #106

If $f(n)$ is the maximum total side length of $n$ interior-disjoint squares packed in the unit square, is $f(k^2 + 1) = k$? An exact rational configuration packs $17$ squares with total side length greater than $4$, refuting the identity at $k = 4$.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Jul 29, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-verified. Publication: announcement. AI contribution: ai-assisted. Imported under CC BY 4.0.

Canonical aliases: Erdős Problem #106 · Erdős #106 · Problem 106

Confidence: Not scored

Registry verification: lean verified · announcement · candidate

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Attribution

VibeMathed
registry · event recorded by

Claude Opus 5
model · ai model contributor · Anthropic

Artifacts and verifiers

Construction and verification code (GitHub)

code · pending

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Compute record

No linked compute attempts recorded.

Lineage and corrections

This event attributed to Claude Opus 5

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