Erdős Problem #906
OPENdatabase updated 2025-08-31
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
What the community database records, not our verdict. erdosproblems.com no longer shows statuses (why).
Does there exists an entire non-zero transcendental function `f : ℂ → ℂ` such that for any sequence `n₀ < n₁ < ...`, `{ z | ∃ k, iteratedDeriv (n k) f z = 0 }` is dense.
Statement as formalized in Formal Conjectures (Google DeepMind, Apache-2.0) · their label: research open. The authoritative wording is on erdosproblems.com/906.Prizenone
Topicsanalysis, iterated functions
Statement in LeanFormal Conjectures
Solution in Leanno
Original pageerdosproblems.com/906
Attempts
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Live page status is OPEN, but it lists “1 claimed proof for this problem” (a full proof claimed by Eric Hou, submitted 2026-07-21); “Currently working on this problem” is None.
SKIPPED