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Erdős Problem #123

Let $a,b,c>1$ be pairwise coprime integers. Is every large integer a sum of distinct numbers of the form $a^k b^l c^m$ ($k,l,m\ge 0$), none dividing another?

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jul 1, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Erdős Problem #123 · Erdős #123 · Problem 123

Confidence: Not scored

Registry verification: lean verified · announcement · resolved

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Attribution

VibeMathed
registry · event recorded by

Colin Snyder
human · human collaborator

GPT-5.6
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Colin Snyder

This event attributed to GPT-5.6

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