The theory of numbers, by Robert D. Carmichael ...

6 CONTENTS
PAGE
~ 26. THE CONVERSE OF WILSON'S THEO'REM............................ 50
~ 27. IMPOSSIBILITY OF I 2 -3 *...n -jLi=nl, n>5................... 51
~ 28. EXTENSION OF FERMAT'S THEOREM................................. 52
~ 29. ON THE CONVERSE OF FERMAT'S SIMPLE THEOREM.................. 55
~ 30. APPLICATION OF PREVIOUS RESULTS TO LINEAR CONGRUENCES....... 56
~ 31. APPLICATION OF THE PRECEDING RESUITS TO THE THEORY OF QUADRATIC RESIDUES............................................... 57
CHAPTER V. PRIMITIVE ROOTS MODULO m
~ 32. EXPONENT OF AN INTEGER MODULO m............................. 6
~ 33. ANOTHER PROOF OF FERMAT'S GENERAL THEOREM................. 63
~ 34. DEFINITION OF PRIMITIVE ROOTS................................ 65
~ 35. PRIMITIVE ROOTS MODULO p...................................... 66
~ 36. PRIMITIVE ROOTS MODULO pa, p AN ODD PRIME.................... 68
~ 37. PRIMITIVE ROOTS MODULO 2pa, p AN ODD PRIME.................. 70
~ 38. R ECAPITULATION................................................. 71
~ 39. PRIMITIVE X-ROOTS............................................... 7
CHAPTER VI. OTHER TOPICS
~ 40. INTRODUCTION................................................... 76
~ 41. THEORY OF QUADRATIC RESIDUES................................ 77
~ 42. GALOIS IMA INARIES............................................ 80
~ 43. ARITHMETIC FORMS.................8.................I..
~ 44. ANALYTICAL THEORY OF NUMBERS................................. 83
~ 45. DIOPHANTINE EQUATIONS..................................... 84
~ 46. PYTHAGOREAN TRIANGLES................................... 85
~ 47. THE EQUATION xn+yn=.n............................. 91