Les nombres parfaits chez Mersenne : des mystères pythagoriques à la science et à l’exégèse

Abstract

In responding to a question posed by Professor Vincent Carraud regarding a passage in a letter by Etienne Pascal in which he mentions an author who speaks of the mysteries of Pythagorean numbers we have resumed our dossiers on number theory in Mersenne. We have pointed to texts from Mersenne’s correspondence, printed books, and unpublished theological manuscripts between 1638 and 1648 in which the mysteries of the Pythagorean numbers are mentioned with reference to the theory of perfect numbers and with reference to Peter Bongo’s work, which was widespread throughout Europe and particularly in France, De numerorum mysteria (1599 ed. aucta). This has allowed us to provide some indications taken from Mersenne’s unpublished manuscripts in which he addresses the mathematical problem of perfect numbers in exegesis, according to the new dating of his unpublished theological manuscripts that we have established.