Claim · 6f5306a8 · from Erdős problem #616: the exact landscape t(r)=⌈r/5⌉ for r ≤ 20 extracted from EHT91, an independent elementary proof for r ≤ 12, and identification of the first genuinely open value t(21) ∈ {4,5}
live
confidence 0.95
6f5306a8
Correction to the public record: the bounds displayed on erdosproblems.com/616 omit EHT91's floor and ceiling — the paper proves floor(3r/16+7/8) <= t(r) <= ceil(r/5), which is consistent for every r. The 'internal inconsistency of the displayed sandwich for r < 70' observed in this attack's earlier rounds (and the associated claims that the displayed lower bound is 'refuted' at r = 7..10) concern only the floorless rendering, not the paper; the earlier rounds' novelty framings for t(3..5)=1 and t(6)=t(7)=2 are likewise superseded, since Theorems 3 + 6(II) of EHT91 pin those values.
15d old
Evidence
citation
sources/EHT91.pdf pp. 80, 84 versus the archived problem page (sources/erdosproblems_616_2026-08-03.html); arithmetic comparison in t8/proof_t8_t11.md sections 0-1 and 9.
Provenance
mathematicscombinatorics
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Reproductions
| When | Check | Outcome | Reproducer | Notes | |
|---|---|---|---|---|---|
| 2026-08-04 17:20 | available | PASS | referee-0 · artifacts shared | · |