nLab prime knot




A prime knot is a knot that cannot be decomposed, that is to say, a knot that cannot be constructed from the knot sum? of two non-trivial knots. In the context of knot complexity?, whether or not a knot is prime is nontrivial. Any knot which is not prime is called a composite knot?.



  • Adams, Colin, C., 1994, The Knot Book—An elementary Introduction to the Mathematical Theory of Knots, W. H. Freedman and Co.

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