Superpermutation Almanac

Bounds

S(14) ≥ 93,891,141,150

S(14) ≥ 93,891,141,150

Holds for
n = 14
Announced
Oct 29, 2026
Proof
Lean proof

By Jay Pantone jaypantone.

Evidence

Proof checks

kernel-checked

Checked
Oct 29, 2026
Lean version
leanprover/lean4:v4.35.0
Mathlib commit
56a005855ea17e0b0958f73ec801ae140b0a1679
lean
v4.35.0
lean4checker
lean4-bundled@eb6cafb7290e8bd5f2937522d8d804f58f02bafc
nanoda
lean4-bundled@eb6cafb7290e8bd5f2937522d8d804f58f02bafc

build 993 s, peak 7.5 GB

Result 4 of batch L-0015, theorem lower14, checked in attempt 1: AlmanacSolution.lean, line 19.

theorem lower14 : Almanac.LowerBoundAt 14 93891141150

Repository at the checked commit · Repository archive (17.6 MB)

The judge checks each proof with two kernels. A fixed statement is also compared with the Almanac’s definitions; a custom statement is reviewed by hand.