Invalidated

Cohen's 22 Conjectures on Cyclic Numbers

22 conjectures of Cohen about cyclic numbers (integers with $\gcd(n, \varphi(n)) = 1$) settled at once - 16 proved, 6 disproved - together with a complete resolution of a related OEIS problem on sequences whose running averages are Fibonacci numbers (Fried's Conjecture 2).

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Sep 30, 2025

Delta type: SOURCE CLAIM

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

Canonical aliases: Cohen's 22 Conjectures on Cyclic Numbers · Cyclic number conjectures

Confidence: Not scored

Registry verification: unreviewed · preprint · retracted

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Attribution

VibeMathed
registry · event recorded by

Duc Hieu Le
human · human collaborator

GPT-5
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Duc Hieu Le

This event attributed to GPT-5

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