Paper 8. Belts and Short Windows

Osman, Mohamed

Paper 8. Belts and Short Windows

What a line can do between its own square and the next, and the anatomy of the window between consecutive squares

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

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Abstract. The belt between consecutive prime squares has an exact size and a reach that depends on the gap rather than the size of the line; the short window is then read in depth.

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).