Solved and Unsolved Problems in Number Theory - Info and Reading Options

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Front Cover -- CONTENTS -- PREFACE TO THE THIRD EDITION -- PREFACE TO THE SECOND EDITION -- PREFACE TO THE FIRST EDITION -- CHAPTER I FROM PERFECT NUMBERS TO THE QUADRATIC RECIPROCITY LAW -- 1. PERFECT NUMBERS -- 2. EUCLID -- 3. EULER'S CONVERSE PROVED -- 4. EUCLID'S ALGORITHM -- 5. CATALDI AND OTHERS -- 6. THE PRIME NUMBER THEOREM -- 7. TWO USEFUL THEOREMS -- 8. FERMAT AND OTHERS -- 9. EULER'S GENERALIZATION PROVED -- 10. PERFECT NUMBERS, II -- 11. EULER AND M31 -- 12. MANY CONJECTURES AND THEIR INTERRELATIONS -- 13. SPLITTING THE PRIMES INTO EQUINUMEROUS CLASSES -- 14. EULER'S CRITERION FORMULATED -- 15. EULER'S CRITERION PROVED -- 16. WILSON'S THEOREM -- 17. GAUSS'S CRITERION -- 18. THE ORIGINAL LEGENDRE SYMBOL -- 19. THE RECIPROCITY LAW -- 20. THE PRIME DIVISORS oF n2 + a -- CHAPTER II THE UNDERLYING STRUCTURE -- 21. THE RESIDUE CLASSES AS AN INVENTION -- 22. THE RESIDUE CLASSES AS A TooL -- 23. THE RESIDUE CLASSES AS A GROUP -- 24. QUADRATIC RESIDUES -- 25. IS THE QUADRATIC RECIPROCITY LAW A DEEP THEOREM? -- 26. CONGRUENTIAL EQUATIONS WITH A PRIME MODULUS -- 27. EULER'S Φ FUNCTION -- 28. PRIMITIVE ROOTs WITH A PRIME MODULUS -- 29. p AS A CYCLIC GROUP -- 30. THE CIRCULAR PARITY SWITCH -- 31. PRIMITIVE ROOTS AND FERMAT NUMBERS -- 32. ARTIN'S CONJECTURES -- 33. QUESTIONS CONCERNING CYCLE GRAPHS -- 34. ANSWERS CONCERNING CYCLE GRAPHS -- 35. FACTOR GENERATORS OF m -- 36. PRIMES IN SOME ARITHMETIC PROGRESSIONS AND A GENERAL DIVISIBILITY THEOREM -- 37. SCALAR AND VECTOR INDICES -- 38. THE OTHER RESIDUE CLASSES -- 39. THE CONVERSE OF FERMAT'S THEOREM -- 40. SUFFICIENT CONDITIONS FOR PRIMALITY -- CHAPTER Ill PYTHAGOREANISM AND ITS MANY CONSEQUENCES -- 41. THE PYTHAGOREANS -- 42. THE PYTHAGOREAN THEOREM -- 43. THE √2 AND THE CRISIS -- 44. THE EFFECT UPON GEOMETRY -- 45. THE CASE FOR PYTHAGOREANISM -- 46. THREE GREEK PROBLEMS

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