Contents
Distribution o f the Problem s accordin g t o Thei r Topic s i x
Preface x i
Part 1. Ke y Element s fro m th e Theor y 1
Notations 3
Some Classica l Form s o f Argument 3
Inequalities 3
Divisibility 4
Prime Number s 5
Congruences 6
The Functio n [x] 7
Arithmetical Function s 8
Diophantine Equation s 10
Quadratic Reciprocit y 10
Continued Fraction s 11
Classification o f Real Number s 12
Two Conjecture s 12
Part 2 . Statement s o f th e Problem s 13
Mathematical Inductio n an d Combinatoric s 15
Divisibility 19
Prime Number s 2 5
Representation o f Numbers 3 4
Congruences 3 8
Primality Test s an d Factorizatio n Algorithm s 4 4
Integer Part s 4 9
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