The Little Book of Big Primes
From the reviews of the second edition:P. RibenboimThe Little Book of Big Primes"Everyone has at one time or another taken an interest, however fleeting, in prime numbers . . . Ribenboim, however, is clearly a ‘prime nut,’ and this excellent, good-humored book is written for other (actually or potentially) incurable aficionados . . . it is a masterly presentation . . . This genially reader-friendly tour de force, by a scientist whit an encyclopedic and up-to-the-minute knowledge of the subject, is a wholly admirable addition to anyone’s bookshelf."—AMERICAN SCIENTIST"The book presents a wealth of material and references on fundamental theorems, challenging open problems, and the most recent computational records in a language without secrets." (Zentralblatt für Didaktik und Mathematik, November, 2004)"This book is the substantially expanded and updated second edition of the 1991 ‘Little book of big primes’. … The author’s thorough knowledge of and passion for primes comes through clearly. Most of the book is accessible even to interested amateurs or undergraduate students … . At the same time, a specialist can also find it useful to have so many results, open problems and references collected together." (Gábor Megyesi, Acta Scientiarum Mathematicarum, Vol. 72, 2006)