Method for producing precipitated silica of the type comprising the reaction of a silicate with at least one acid, as a result of which a precipitated-silica suspension is obtained, then the separation and drying of this suspension, in which: - the precipitation is carried out in the following way: (i) an initial vessel heel, which comprises at least one portion of the total amount of the silicate involved in the reaction and an electrolyte, is formed, the silicate concentration (expressed as SiO 2) in said initial vessel heel being between 50 and 70 g/l, (ii) an acid is added to said vessel heel until a pH value of the reaction medium of between 7 and 8.5 is obtained, (iii) acid and, where appropriate, simultaneously the remaining amount of the silicate are added to the reaction medium, (iv) an acid is added to the reaction medium, in particular until a pH value of the reaction medium of between 4 and 6 is obtained, - the separation comprises filtration and washing by means of a filter equipped with a compacting means, - a suspension, preferably having a solids content of at most 22% by weight, is spray-dried, in which method, in at least step (iii), the acid used is a concentrated acid chosen from the group formed by sulfuric acid having a concentration of at least 80% by weight, in particular of at least 90% by weight, acetic acid or formic acid having a concentration of at least 90% by weight, nitric acid having a concentration of at least 60% by weight, phosphoric acid having a concentration of at least 75% by weight, and hydrochloric acid having a concentration of at least 30% by weight, and in which, in step (ii), the acid used after the gel point has been reached in the reaction medium is a concentrated acid chosen from the group formed by sulfuric acid having a concentration of at least 80% by weight, in particular of at least 90% by weight, acetic acid or formic acid having a concentration of at least 90% by weight, nitric acid having a concentration of at least 60% by weight, phosphoric acid having a concentration of at least 75% by weight, and hydrochloric acid having a concentration of at least 30% by weight. - the precipitation is carried out in the following way: (i) an initial vessel heel, which comprises at least one portion of the total amount of the silicate involved in the reaction and an electrolyte, is formed, the silicate concentration (expressed as SiO 2) in said initial vessel heel being between 50 and 70 g/l, (ii) an acid is added to said vessel heel until a pH value of the reaction medium of between 7 and 8.5 is obtained, (iii) acid and, where appropriate, simultaneously the remaining amount of the silicate are added to the reaction medium, (iv) an acid is added to the reaction medium, in particular until a pH value of the reaction medium of between 4 and 6 is obtained, (i) an initial vessel heel, which comprises at least one portion of the total amount of the silicate involved in the reaction and an electrolyte, is formed, the silicate concentration (expressed as SiO 2) in said initial vessel heel being between 50 and 70 g/l, (ii) an acid is added to said vessel heel until a pH value of the reaction medium of between 7 and 8.5 is obtained, (iii) acid and, where appropriate, simultaneously the remaining amount of the silicate are added to the reaction medium, (iv) an acid is added to the reaction medium, in particular until a pH value of the reaction medium of between 4 and 6 is obtained, - the separation comprises filtration and washing by means of a filter equipped with a compacting means, - a suspension, preferably having a solids content of at most 22% by weight, is spray-dried,