Why a torus knot is a prime knot?
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Are you looking for an accessible proof in the literature? If so, there are two proofs (one very direct and geometric, the other brief and algebraic) on page 95 of "Knots" Gerhard Burde and Heiner Zieschang.
Kyle
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Thank you for the good reference with down-to-earth proofs! – IBazhov Jun 12 '14 at 16:33
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No problem at all. – Kyle Jun 13 '14 at 01:46