Mertens's second theorem is kernel-checked in the Lean arm with zero sorrys, in the log log x + O(1) form with explicit constant 76, built along the predecessor's route map on top of the first theorem, while the third remains out of elementary reach.
hunts/r_3c1cbb (Record 22 of 98 in chronological sequence)
Guiding Question
Can Mertens's first or second theorem be kernel-checked in ZetaLean against pinned Mathlib v4.33.0-rc2 inside a 90 minute budget?
Method & Verification
MertensSecond.lean was built against pinned Mathlib v4.33.0-rc2 by partial summation against the predecessor's mertens_first_theorem band, proving the Abel identity by Nat.le_induction from N=2 rather than reindexing Finset.sum_range_by_parts, with lake build 8745 jobs and grep sorry count 0.
Lineage & Relationships
Primary Sources (at pin 8fa46e134)
Editorial Notes
Two case-log entries share this directory: Hunt #30 settled Mertens 1 in part and route-mapped the second; Hunt #35 settled the second theorem. Recorded_disposition is settled under Hunt #35 per coordinator guidance, not the earlier partial. Evidence is kernel-checked for the landed second theorem; the numeric sieve to 10^6 is a supporting spot check, not the grade.
Date Provenance
commit c67fd4c7b7e653b9d229b6041ab373ae9eccdc36, hunts/r_3c1cbb/RESULTS.md, author 2026-08-15T22:48:37Z