Piperidinodihydrothienopyrimidines of formula 1 wherein X is SO or SO2 (preferably SO), and R1, R2, R3, and R4 may have the meanings given in the disclosure and claims, pharmacologically acceptable salts thereof, and pharmaceutical compositions containing these compounds. These piperidinodihydrothienopyrimidines are suitable for the treatment of respiratory or gastrointestinal complaints or diseases, inflammatory diseases of the joints, skin, or eyes, diseases of the peripheral or central nervous system, or cancers.