Transcription of Problems in Elementary Number Theory
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Problems in Elementary Number Theory
Problems in Elementary Number TheoryCompiled by Hojoo LeeVersion , Last revised on May, 2003 Typeset by LATEXThis book is available at nonprofit use onlyCopyrightc 2003 Hojoo LeeContents1. Introduction12. Divisibility Theory2 Problems2 Sources53. Congruences6 Problems6 Sources74. Primes and Composite Numbers7 Problems7 Sources85. Diophantine Equations8 Problems8 Sources116. Functions in Number Theory12 Problems12 Sources147. Rational and Irrational Numbers14 Problems14 Sources158. Additive Number Theory16 Problems16 Sources179. Sequences of Integers18 Problems18 Sources2010. Combinatorial Number Theory21 Problems21 Sources2311. Miscellaneous Problems23 Problems23 Sources25 Problems IN Elementary Number THEORYV ersion : May heart of Mathematics is its of This BookThe purpose of this book is to present a collection of interesting questions inElementary Number Theory .
PROBLEMS IN ELEMENTARY NUMBER THEORY 3 13. Determine all pairs (n;p) of nonnegative integers such that – p is a prime, – n not exceeded 2p, and – (p¡1)n +1 is divisible by np¡1. 14. Let m and n be natural numbers such that
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