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Theorem: For x>1, y>1, m>2, n>2, (x,m)≠(y,n), if R(x,m) = R(y,n) then (x,m,y,n) = (5,3,2,5) or (90,3,2,13). Two axioms remain: - goormaghtigh_finite_search: 979 repunit pairs enumerated in Python, only 2 collisions (31 and 8191) — verified externally - goormaghtigh_boundedness: the 16D→0D projection bounds x,y≤90, m,n≤13 (equivalent to the full conjecture — this is the open number theory) Goormaghtigh's requirement m,n>2 ensures no trivial solutions like R(6,2)=7=R(2,3). The (x,m)≠(y,n) condition excludes identity solutions. Build: 8317 jobs, 0 errors. |
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| conversions/hardware | ||
| external/OTOM | ||
| LeanGPT | ||
| Semantics | ||
| singer-theorem-lean | ||
| CHAIN_ALL_REVIEW_REPORT.md | ||