The Book of Prime Number Records.
Carl B. Pomerance, Paulo Ribenboim · American Mathematical Monthly · 1989
What is new in this edition?A few misprints were corrected, as well as a wrong statement about Mersenne numbers which, embarrassingly, I attributed to Bob Silverman.There are also several new records in the text, which were attained since this book appeared one year ago, including a new Mersenne number.On the other hand, no space could be made to describe the very recent primality testing methods involving elliptic curves.Finally, a probable new record: RECORDThe fastest selling book on prime number records is ..