Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 017-01. The irrationality exponent of pi is 2
Manuscript map · lines 2845–2854
OpenAI@2026-10-07#rem:oai-p-017-01
Authors: OpenAI. Family 017.
Title: The irrationality exponent of pi is 2.
Abstract: We prove the conjecture that the irrationality exponent of π is 2. As a consequence, the classical Flint–Hills series ${}sum_{n{}ge1}1/(n{}3{}sin{}2 n)$ converges, with angles in radians.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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