The invention relates to a flexible pipe for transporting hydrocarbons, comprising the following, from the inside towards the outside: a cylindrical structural set adapted in such a way that it can withstand radial stress and at least one first armure lap, said first armure lap comprising a plurality of armure threads wherein the armure threads consist of formed and flattened metal threads, the width of said armure I being greater than the thickness e when they are wound in parallel in the form of a spiral with a longitudinal pitch around the structure set, said threads forming an angle of less than 60° angle with the generators (G) of said structural set, and the width/thickness ratio of the armure threads is greater than 4.