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Erdős Problem #1061
For $S(x) = \#\{(a,b) : a + b \le x,\ \sigma(a) + \sigma(b) = \sigma(a+b)\}$, is $S(x) \sim cx$? The preprint claims $S(x)$ grows faster than $x (\log x)^R$ for every fixed $R$, ruling out the linear asymptotic.
Exact FrontierDelta
Prior state unknown→disproved
Scope and record
Occurred: Jun 24, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: Erdős Problem #1061 · Erdős #1061 · Problem 1061
Confidence: Not scored
Registry verification: unreviewed · announcement · candidate
Lineage and corrections
This event attributed to ChatGPT