Inhaltsverzeichnis

Development of
Algorithmic Constructions

04:24:37
Deutsch
18.Apr 2024

31 33 35
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14

Number p= Adjoined square root=

Calculation

A=√5
(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
Square 2

Number = 33, Adjoined = √5, Exponent = 2, Jacobi (5, 33) = -1, 33 = 1 mod 4, 33 = 1 mod 8

32
032√5
Number of elements = 6
Number of red elements = 6
Number of elements / Number of red elements = 1

Number = 33, Adjoined = √5, Exponent = 2, Jacobi (5, 33) = -1, 33 = 1 mod 4, 33 = 1 mod 8

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

href=2. root

|25+15AI|
=1
|25+18AI|
=1
|22+3AI|
=1
|22+30AI|
=1
|19+15AI|
=1
|19+18AI|
=1