Pilger rolling mill for working a hollow into a tube has a first roll stand mounted linearly moveable in a direction of motion. Translational motion of the roll stand causes rotational motion of the drive gear due to the cogging of the drive gear with the gear rack and, hence, also rotational motion of the roller arranged on the shaft of the drive gear and rotational motion of the other one of the two rollers in the opposite direction. Roll stand is connected with a crank drive and rotational motion of a motor drive is transformed into an oscillating translational motion of the roll stand by a connecting rod. Gear rack holder allows adjustment of the pilger rolling mill with respect to tube diameters of finished rolled tubes by arranging the first roll stand exchangeable by a second roll stand with a second dimension being different from the first dimension.
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