A cutting insert for turning includes an upper side, a lower side, a clearance surface connecting the upper side and the lower side, and an upper cutting edge. The upper cutting edge forms a primary edge portion and a secondary edge portion connected by a nose edge portion. On the upper side, a chip former is formed, including a nose bottom surface formed behind the nose edge portion, a primary main bottom surface extending along the primary edge portion, and, between the nose bottom surface and the primary main bottom surface, a continuous primary elevated bottom surface extending along the primary edge portion, having a lowest point lower than the level of the primary edge portion but higher than the lowest point of each of the nose bottom surface and the primary main bottom surface.