Superpermutation Almanac

Bounds

S(7) ≥ 5,898

Holds for
n = 7
Announced
Nov 10, 2026
Proof
Lean proof
Points
1.8

By Jakub Halfar.

Evidence

Proof check

kernel-checked

Checked
Nov 10, 2026
Lean version
leanprover/lean4:v4.35.0
Mathlib commit
56a005855ea17e0b0958f73ec801ae140b0a1679
lean4checker
lean4-bundled@eb6cafb7290e8bd5f2937522d8d804f58f02bafc
nanoda
lean4-bundled@eb6cafb7290e8bd5f2937522d8d804f58f02bafc

build 3153 s, peak 17.6 GB

Result 1 of batch L-0023, theorem lower_seven, checked in attempt 1: AlmanacSolution.lean, line 10.

theorem lower_seven : Almanac.LowerBoundAt 7 5898

Repository at the checked commit · Repository archive (6.4 MB)

The proof of 5,898 uses the first step of my 5,899 proof from proofs/lean/n7 in my main repository: at cost 133 the chain caps and the five profile statements alone are enough. All searches are checked by the kernel, without native_decide.