The board / irrationality / #1050
Erdős Problem #1050
PROVED LEANdatabase updated 2026-09-12
The statement as posed is true, and a proof exists. A solution has also been checked by machine, in Lean.
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**Erdős Problem 1050.** The series \(\sum_{n=1}^\infty \frac{1}{2^n - 3}\) is irrational. The source sum runs over \(n \ge 1\); as a `tsum` over `ℕ` (which starts at \(0\)) it is reindexed \(n \mapsto n + 1\), i.e. \(\sum_{n=0}^\infty 1/(2^{n+1} - 3)\).
Statement as formalized in Formal Conjectures (Google DeepMind, Apache-2.0) · their label: research solved · 3 further variants / known partial results in the Lean file. The authoritative wording is on erdosproblems.com/1050.Prizenone
Topicsirrationality
Statement in LeanFormal Conjectures
Solution in Leanyes
OEISA331372
Original pageerdosproblems.com/1050
Attempts
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