By Richard Guy

Mathematics is stored alive by way of the looks of recent unsolved difficulties, difficulties posed from inside arithmetic itself, and in addition from the expanding variety of disciplines the place arithmetic is utilized. This publication presents a gradual offer of simply understood, if no longer simply solved, difficulties which are thought of in various depths by way of mathematicians in any respect degrees of mathematical maturity.

For this re-creation, the writer has integrated new difficulties on symmetric and uneven primes, sums of upper powers, Diophantine m-tuples, and Conway’s RATS and palindromes. the writer has additionally integrated an invaluable new characteristic on the finish of a number of of the sections: lists of references to OEIS, Neil Sloane’s on-line Encyclopedia of Integer Sequences.

About the 1st Edition:

"…many gifted younger mathematicians will write their first papers beginning out from difficulties present in this book."

- András Sárközi, MathSciNet