R. Wittkower, Gian Lorenzo Bernini: Sculptor of the Roman Baroque, 3rd. edition, Ithica, New York, 1981, pp. 209-210, 275, nos. 46 and 49.
This bust is after the celebrated marble model now in the Louvre. The attribution to Bernini himself has long been contested. As it has also been proposed that the marble bust of the Cardinal is by the hand of the sculptor Francesco Mochi. It was ordered in 1640, after the 'profils de son Eminence' were delivered to Rome. The bust was then delivered to Paris a year later on the 21st of August, 1641. Almost certainly the triple portrait of the Cardinal by Philippe de Champaigne may have served to help the sculptor in Rome (R. Wittkower, op. cit., p. 209). So, beside these images, there is no more iconic image of Richelieu.
There is another bronze version, probably after the marble, which was purchased by Frederick the Great in 1742 from the Polignac Collection and remains at the Palace of Sans Souci in Potsdam (Ibid., p. 210).