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Does the Jones polynomial detect the unknot?
Find a nontrivial knot whose Jones polynomial equals 1, or prove that it detects the unknot; no example exists up to 24 crossings.
Update from the catalog #1
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| @@ -16,5 +16,7 @@ | ||
| 16 | 16 | "status": "unsolved", |
| 17 | 17 | "as_of": "2026-10-20", |
| 18 | 18 | "catalog": "0521c19bbd38" |
| 19 | - } | |
| 19 | + }, | |
| 20 | + "review": true, | |
| 21 | + "approval": "first-time" | |
| 20 | 22 | } |