In this book the Theory of Prime Numbers is seen from an original and modern angle, influenced by Computing. All important aspects are addressed, including the applications to primality, factoring and cryptography. The reader will meet the great mysteries that remain as a challenge to the wit of mathematicians and will also find the updated records, fruits of arduous and admirable calculations, which reflect the experimental aspect of the theme.
Note: After undergoing an extensive review, this book has been rewritten and published in this same collection with the title Números Primos – Velhos Mistérios e Novos Recordes.
Paulo Ribenboim was born in Recife in 1928. He was a disciple of Antonio Monteiro in Brazil, Jean Dieudonné in France, Wolfgang Krull in Germany. He was a researcher at IMPA from 1956 to 1959. He had an international career, mainly in the United States, France and Canada, where he taught at Queen’s University. He has wrote more than 200 papers as well as many books , among them: “13 Lectures on Fermat’s Last Theorem”, “Fermat’s Last Theorem for Amateurs”, “The New Book of Prime Number Records”, “My Numbers, My Friends”, “Classical Theory of Algebraic Numbers”, “The Theory of Classical Valuatives”. He won the Pólya Prize in expository mathematics. He is Honorary Doctor of the University of Caen and Member of the Academy of Sciences of The Royal Society of Canada.