A pyrotechnical primer for igniting propellant powder for sleeveless ammunition comprises an igniting element (4) and a coil (1). The energy required for triggering is transmitted in an electromagnetic manner (inductively). The inductive primer is cost-effective, entirely combustible, easy to produce and is not provided with residues that damage the functioning of the weapons. The primer has a base construction such that the primer can be used in all conventional weapons calibres. To this end, the ignition element (4) and the coil (1) are located on a mutual, flat, combustible consumable or support material (5).