An intravascular blood pump for insertion into a patient's heart, the pump comprising: an elongate housing having a proximal end connected to a catheter and a distal end coupled to a pump unit, the housing having a longitudinal axis; and a slotless permanent magnet motor contained within the housing, the motor having p magnet pole pairs and n phases, where p is an integer greater than zero, and n is an integer ≥ 3, the motor comprising: a stator (140; 400; 700; 800; 950) extending along the longitudinal axis of the housing and having 2np coils (410-415; 710-721; 810-819) wound to form two coils per phase per magnet pole pair, the stator (140; 400; 700; 800; 950) comprising: an inner winding comprising np coils (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) in which one coil from each phase is arranged next to a coil from a different phase in a sequential order of phase per pole pair, the arrangement repeated about a circumference of the stator (140; 400; 700; 800; 950) for all pole pairs such that each coil (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) of the inner winding spans 360/( np) mechanical degrees about a cross section of the stator (140; 400; 700; 800; 950), the inner winding having an exterior surface, and an outer winding also comprising np coils (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) arranged on the exterior surface of the inner winding, the coils (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) from each phase in the outer winding circumferentially aligned with the coils (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) from the inner winding having the same phase per pole pair such that each coil (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) of the outer winding also spans 360/( np) mechanical degrees about the cross section of the stator (140; 400; 700; 800; 950); wherein the coils of the same phase per pole pair are electrically connected such that a current flowing through the coils is in the same direction; and further comprising: a magnet supported for rotation upon magnetic interaction with the stator (140; 400; 700; 800; 950). an elongate housing having a proximal end connected to a catheter and a distal end coupled to a pump unit, the housing having a longitudinal axis; and a slotless permanent magnet motor contained within the housing, the motor having p magnet pole pairs and n phases, where p is an integer greater than zero, and n is an integer ≥ 3, the motor comprising: a stator (140; 400; 700; 800; 950) extending along the longitudinal axis of the housing and having 2np coils (410-415; 710-721; 810-819) wound to form two coils per phase per magnet pole pair, the stator (140; 400; 700; 800; 950) comprising: an inner winding comprising np coils (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) in which one coil from each phase is arranged next to a coil from a different phase in a sequential order of phase per pole pair, the arrangement repeated about a circumference of the stator (140; 400; 700; 800; 950) for all pole pairs such that each coil (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) of the inner winding spans 360/( np) mechanical degrees about a cross section of the stator (140; 400; 700; 800; 950), the inner winding having an exterior surface, and an outer winding also comprising np coils (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) arranged on the exterior surface of the inner winding, the coils (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) from each phase in the outer winding circumferentially aligned with the coils (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) from the inner winding having the same phase per pole pair such that each coil (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) of the outer winding also spans 360/( np) mechanical degrees about the cross section of the stator (140; 400; 700; 800; 950); an inner winding comprising np coils (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) in which one coil from each phase is arranged next to a coil from a different phase in a sequential order of phase per pole pair, the arrangement repeated about a circumference of the stator (140; 400; 700; 800; 950) for all pole pairs such that each coil (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) of the inner winding spans 360/( np) mechanical degrees about a cross section of the stator (140; 400; 700; 800; 950), the inner winding having an exterior surface, and an outer winding also comprising np coils (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) arranged on the exterior surface of the inner winding, the coils (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) from each phase in the outer winding circumferentially aligned with the coils (410, 412, 414; 710, 711, 715, 716, 718, 719; 810, 813, 814, 816, 818) from the inner winding having the same phase per pole pair such that each coil (411, 413, 415; 712, 713, 714, 717, 720, 721; 811, 812, 815, 817, 819) of the outer winding also spans 360/( np) mechanical degrees about the cross section of the stator (140; 400; 700; 800; 950); wherein the coils of the same phase per pole pair are electrically connected such that a current flowing through the coils is in the same direction; and further comprising: a magnet supported for rotation upon magnetic interaction with the stator (140; 400; 700; 800; 950).