A syringe includes a syringe cylinder and a distal end designed as a syringe cone. The distal end comprises a region set back in a radial direction such that an edge extending in the circumferential direction is formed. The edge has a first chamfer, and comprises an attachment piece having a clamping region. Holding forces are introduced from the attachment piece via the clamping region in the region of the syringe set back in a radial direction. The clamping region comprises a distal edge. The the distal edge of the clamping region has a second chamfer.