Inhaltsverzeichnis

Development of
Algorithmic Constructions

02:47:55
Deutsch
18.Apr 2024

29 31 33
√2 √3 √5 √6 √7 √8 √10 √11

Number p= Adjoined square root=

Calculation

A=√2
(a+bAI)² = a²-b²A² + 2abAI mod p
|(a+bAI)| = (a+bAI)(a-bAI) = a²+b²A² mod p

Potence 2 Potence 3 Potence 5 Potence 7 Potence 11 Potence 13 Potence 17 Potence 19 Potence 23 Potence 29

Number = 31, Adjoined = √2, Exponent = 1, Jacobi (2, 31) = 131 = 3 mod 4, 31 = 7 mod 8

30
030√2
Number of elements = 1

Number = 31, Adjoined = √2, Exponent = 1, Jacobi (2, 31) = 131 = 3 mod 4, 31 = 7 mod 8

Potence 2 Potence 3 Potence 5 Potence 7 Potence 11 Potence 13 Potence 17 Potence 19 Potence 23 Potence 29

|0+0AI|
=0