A high-pressure discharge lamp having a single socket, comprising: a discharge vessel (100) having two opposite sealed ends (120, 130) and a discharge chamber (110) arranged between the sealed ends (120, 130), a first sealed end (120) extending into a lamp base (400) and the second sealed end (130) protruding out of the lamp base (400), a first electrode (20) which is fixed in the first sealed end (120) of the discharge vessel (100) and has an end on the discharge side extending into the discharge chamber (110), a second electrode (30) which is fixed in the second sealed end (130) of the discharge vessel (100) and has an end on the discharge side extending into the discharge chamber; and (110), a base flange (420) arranged on the lamp base (400) and defining a plane (421) which is usable for adjusting the high-pressure discharge lamp in an optical system wherein for the distance A from the end of the first electrode (20) on the discharge side to the plane (421) of the base flange (420) and for the distance B from the end of the second electrode (30) on the discharge side to the plane (421) of the base flange (420), the following relation applies: 15.0 ⁢ ⁢ mm ≤ A + B 2 ≤ 27.0 ⁢ ⁢ mm .