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Binary Digits of the Erdős-Borwein Constant

Does the block $11$ occur infinitely often in the base-$2$ expansion of the Erdős-Borwein constant $E = \sum_{n \ge 1} \frac{1}{2^n - 1}$? Posed by Crandall in 2012.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: May 22, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Binary Digits of the Erdős-Borwein Constant · Erdős-Borwein digits

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

John M. Campbell
human · human collaborator

GPT-5.5 Pro
model · ai model contributor · OpenAI

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This event attributed to John M. Campbell

This event attributed to GPT-5.5 Pro

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