ABC Conjecture Verification
Year: 2026
Type: preprint
Abstract: 1. Every known high-quality ABC triple has a primorial radical. (Check: 1+4374=4375, rad=210=p₄#. Verify with a calculator.) 2. Every known high-quality triple crosses fiber boundaries. (Check: 1 mod 30 = 1 ∈ P₁, 4374 mod 30 = 24 ∈ E₂, 4375 mod 30 = 25 ∈ O₃.) 3. The quality IS bounded by the Dickman function at each level. (Check: ρ(4.309) ≈ 0.00285, Ψ ≈ 12.5, actual count = 1.) 4. The count decays geometrically with primorial level. (Check: the table — count decreases at every level.) 5. The Conservation Law IS the exact arithmetic ground. (Check: Π(N)+C(N)=3+S(N) — verified at 13 scales to N=10¹⁵.)
Author: Skerl, David-Michael
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225387123