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Paper 10. Four Tests of the Cell System

Jacobsthal, almost-primes between squares, shared cofactors, and collisions

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

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Abstract. Four independent tests of the same framework, each carried to the point where it stops, with the reason it stops given in each case.

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).