The Popes of Saint Malachy provides the life story for each of the 111 popes (reputedly predicted by this Irish saint, including antipopes) who governed the Roman Catholic Church between 1143 and 2013. It has now become possible to prove, from independent sources, that a valid connexion exists between the biography of each pope and the Latin legend predicted by St. Malachy for that reign. The scientific, philosophical and religious implications associated with what is now factual evidence, involves relativity theory, neuroscience, and motion; and this has opened the door to an unsuspected, yet inescapable unity between science and religion. For the number theorist, the appendix includes Fermat's original, seventeenth-century proof of his last theorem.