Paper 5. The Gap Alphabet

Osman, Mohamed

Paper 5. The Gap Alphabet

Which gaps can occur between consecutive odd composites, and where the ladder of proofs stops

Mohamed Osman · ORCID 0009-0004-5912-999X · independent researcher · 2026-10-16

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Abstract. The gap between consecutive odd composites takes only the values 2, 4 and 6, and a gap of 6 is a twin pair; everything settleable without prime input is settled here.

No progress toward the twin-prime conjecture is claimed. Priority is not claimed for any result. Every number printed is regenerated by a script in code/ of the repository. Licence: CC BY 4.0 (text), MIT (code).