# is twisted torus knot T(7,2;4,1) prime?

what kind of twisted torus knot is prime? even more , is twisted torus knot T(7,2;4,1) prime?

• What definition of twisted are you using? – Ryan Budney Jun 11 '11 at 2:49
• okay. Take r (1 < r < p) adjacent parallel strands of T (p, q) and replace them with s times full twists. The resulting knot is called a twisted torus knot T (p, q, r, s). – yanqing Jun 11 '11 at 3:03
• My earlier (erased) comment was off -- this isn't a traditional type of satellite knot, so easy JSJ arguments don't apply. – Ryan Budney Jun 11 '11 at 3:44