Superpermutation Almanac

n = 8

W-0028

A superpermutation on 8 symbols, found by Jay Pantone jaypantone. It beat the previous record, W-0023, by 7 letters, and was the record for n = 8 from Sep 29 until Oct 19, 2026, when W-0073 was 3 letters shorter.

Length
46,181
Repeated occurrences
96
Announced
Sep 29, 2026
Begins 012345670123456071234560172345601273456012374560123547601235467012354607123546017235460127354601237546012357460123564701…

Windows

46,174windows of 8 consecutive letters
=40,320distinct permutations, all 8! of them
+96repeated occurrences of a permutation
+5,758windows that are not permutations

How it was found

Exactly the word of Pantone's 43/80 construction at 8 symbols; its existence is also proved in Lean (theorem word_eight).

Checking

ProgramSourceResultTime
permcheckc46d3654all 40,320 permutations appearunder 1 s
literal_checkf4687121agrees on coverageunder 1 s
SHA-256f1248246e15d7238999d5dfdcfeba7560d64edf98080009380167bf0f87112ab Compilerg++ (Debian 14.2.0-19) 14.2.0

Download

Download Detour (.detour) 244 bytes, or 46.2 kB decoded

Download text (.txt) 46.2 kB

Decode to text

# check it yourself
detour decode W-0028.detour - | tr -d '\n' | shasum -a 256
tar xzf checkers-rs-source.tar.gz && cd checkers-rs && cargo build --release --locked
./target/release/classcheck 8 ../W-0028.detour 46181
./target/release/bitmapcheck 8 ../W-0028.detour 46181
./target/release/wordhash 8 ../W-0028.detour 46181

Decoding needs detour; see the Detour format for how to build and install it. The checkers are in checkers-rs-source.tar.gz, which needs Rust 1.89 or later; each one decodes the file itself, so the word is never written out.

The file's header gives n = 8 and sync exponent 0. The file has 1,197 tokens: 1 START, 1 literal of 1 byte in all, and 1,195 deviations. Deviations by weight, from 1 to 8: 96 · 384 · 715 · 0 · 0 · 0 · 0 · 0.