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Kirby and Lickorish showed that every knot in the 3-sphere is concordant to aprime knot, equivalently, every concordance class contains a prime knot. Weprove here that their result can be strengthened: Every knot in the 3-sphere isinvertibly concordant to a prime knot. A consequence is that every doubleconcordance class contains a prime knot.

INVERTIBLE KNOT CONCORDANCES AND PRIME KNOTS