15 - Quadratic Fields (ii)

Table of contents

• 15.1 The Primes of k(i)
• 15.2 Fermat’s Theorem in k(i)
• 15.3 The Primes of k(p)
• 15.4 The Primes of k(\sqrt 2) and k(\sqrt 5)
• 15.5 Lucas’s Test for the Primality of the Mersenne Number M_{4n + 3}
• 15.6 General Remarks on the Arithmetic of Quadratic Fields
• 15.7 Ideals in a Quadratic Field
• 15.8 Other Fields

15.1 The Primes of $k(i)$

15.2 Fermat’s Theorem in $k(i)$

15.3 The Primes of $k(p)$

15.4 The Primes of $k(\sqrt{2})$ and $k(\sqrt{5})$

15.5 Lucas’s Test for the Primality of the Mersenne Number $M_{4n+3}$

15.6 General Remarks on the Arithmetic of Quadratic Fields

15.7 Ideals in a Quadratic Field

15.8 Other Fields