A19dammer91/Linear-Diophantine-Representation-Systems-p-1-mod-q-

A complete theory of linear Diophantine systems N = pA + qB with p ≡ 1 (mod q). The minimal A-value always equals the digital root of N. Includes Additivity Theory, Matryoshka Theory, and proof that (19, 9) is the unique Class-IV pair.

1 best points · 0 comments · 1 Hacker News post · 3 GitHub stars · View on GitHub

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• A Framework of Modular Structure – Made Visible Through Representations (1 points, 0 comments, by A19dammer91, 2026-05-10)