ABC Conjecture Verification

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.)

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.24013007
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

ABC Conjecture Verification

David-Michael Skerl
3 links
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

ABC Conjecture Verification

David-Michael Skerl
preprint en

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.)

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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ABC Conjecture Verification — David-Michael Skerl · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS