Yurii Sherehii

The Sherehii Moving Frame Method: A Recursive Additive Algorithm for Prime Number Generation

This paper presents a strictly arithmetic, deterministic algorithm for the sequential generation of prime numbers, establishing a structural alternative to traditional analytical frameworks. The proposed method introduces the "Sherehii Moving Frame Method" — a recursive operation...

The Index Spread Law in Prime Multi-Link Additive Frameworks

This paper presents a fundamental expansion of the Sherehii Moving Frame Method, introducing the Prime Index Spread Law. By mapping localized multi-link additive frames directly onto the sequential indices of the prime sequence (p_n), we isolate an invariant geometric constraint:...

The Sherehii Moving Frame Method: A Recursive Additive Algorithm for Prime Number Generation

This paper presents a strictly arithmetic, deterministic algorithm for the sequential generation of prime numbers, establishing a structural alternative to traditional analytical frameworks. The proposed method introduces the "Sherehii Moving Frame Method" — a recursive operation...

The Index Spread Law in Prime Multi-Link Additive Frameworks

This paper presents a fundamental expansion of the Sherehii Moving Frame Method, introducing the Prime Index Spread Law. By mapping localized multi-link additive frames directly onto the sequential indices of the prime sequence (p_n), we isolate an invariant geometric constraint:...