Acknowledgments

OUR LATE BROTHER, PATRICK R. O’SHAUGHNESSY, advised, supported, and contributed jokes, fun, and wisdom to this book, as he has with all our books. He was part of Perri and his death is an overwhelming loss. His friends John Kunkle, Andrew McKenna, Emmett O’Boyle, and Kathleen Roberts made his loss more bearable.

As always, Nancy Yost of Lowenstein Morel Yost and Associates acted as much more than an agent in the writing of this book. She was a friend, an editor, and an enthusiastic support.

Danielle Perez, senior editor at the Bantam Dell Publishing Group, knows just how much to change in a manuscript to make it better without changing its flavor. She stayed with us throughout the writing of this book as a constant and reliable resource. Irwyn Applebaum, our publisher, has given us the freedom to write. He has always given us the feeling that he would go as far as necessary to give our books the widest possible audience. We are very grateful to Irwyn. We would also like to thank Nita Taublib, deputy publisher of Bantam Dell, who has worked hard behind the scenes for our books. Besides these wonderful people, many others at Bantam Dell have helped us. We would like to offer thanks to Robin Foster, our copy editor, Susan Corcoran, our publicist, Shannon Jamieson, the artists, the sales force, the binders, the distributors, all who have shown such professionalism.

We thank Patrick Morriss of Foothill College, Los Altos Hills, California, for consulting with us on the mathematics in this book. We also thank our families, Brad, Meg, Sylvia and Frank, Andy, June, Connor, and Corianna, and so many more in our extended family: always with us, in happiness and sadness. And we thank good friends and associates for all they have done for us in a hard year: Nita Piper and June Snedecor, who have worked so hard on the perrio.com Web site, and Ardyth Brock, Elizabeth Blair, and Dawn Marie.

For a list of fascinating books and materials used as background material for the mathematics and gambling scenes in this book, please check our Web site at perrio.com. All mistakes and speculations are our own.

At the moment, though there is talk of using other encryption methods for the Net, such as quantum encryption, prime number encryption is the best method we have. Thus one of the seemingly most arcane mathematical mysteries has suddenly become immensely important to the mundane world of commerce and politics. No one today can predict exact prime numbers using a formula.

But that day will come. And, in addition to its immediate practical significance, it will have an even greater scientific significance: It will brush aside one of the darkest veils of the mysterious and magnificent universe we live in.

Perri O'Shaughnessy