| $+\infty$ | | Trivial. |tracked since 2026-07-24 — no movement seen yet
Lower bound, last-listed row
| $5$ | [Kan2021] | The $A=4$ version fails (counterexamples $d=54,150$), so any universal bound must satisfy $A_{\mathrm{Zar}}\ge 5$. [Kan2021-A4-counterexamples] |exact pinned row| $5$ | <a href="#Kan2021">[Kan2021]</a> | The $A=4$ version fails (counterexamples $d=54,150$), so any universal bound must satisfy $A_{\mathrm{Zar}}\ge 5$. <a href="#Kan2021-A4-counterexamples">[Kan2021-A4-counterexamples]</a> |tracked since 2026-07-24 — no movement seen yet
Cite this rowBounds Ledger — Zaremba’s conjecture constant (58a)
upper bound: $+\infty$ (tracked since 2026-07-24 — no movement seen yet)
lower bound: $5$ (tracked since 2026-07-24 — no movement seen yet)
Mirrored from teorth/optimizationproblems@2c1968c. These are the last-listed rows of that constant's bounds table — a listing position, not a statement that this bound is the strongest or most recent. A snapshot at that sha, not a live read.
https://u00dxk2.github.io/bounds-ledger/c/58a.html