Manifolds and cell complexes Knot theory Concept
Prime knot
Summary
A prime knot is a nontrivial knot that is not the knot sum of two nontrivial knots. Schubert proved that every nontrivial knot is a knot sum of prime knots in a unique way, up to order. So prime knots play the role for knots that prime numbers play for integers. Knot tables list only prime knots.
Further reading
About this page
| Tag | GJ6FJ4G5VC |
|---|---|
| URI | m2://GJ6FJ4G5VC |
| Kind | concept |
| Writing | W0 stub |
| MSC | 57K10 |
| Specializes | Knot |
| Same as | |
| Changed | 2 November 2026 |
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