Inhaltsverzeichnis

Development of
Algorithmic Constructions

12:44:49
Deutsch
29.Mar 2024

31 33 35
√2 √3 √5 √6 √7 √8

Number p= Adjoined square root=

Calculation

A=√5
(a+bA)² = a²+b²A² + 2abA mod p
|(a+bA)| = (a+bA)(a-bA) = 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 = 33, Adjoined = √5, Exponent = 1, Jacobi (5, 33) = -1, 33 = 1 mod 4, 33 = 1 mod 8

32
032√5
Number of elements = 40
Number of red elements = 36
Number of elements / Number of red elements = 1.1111111111111

Number = 33, Adjoined = √5, Exponent = 1, 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

|32+0A|
=1
|31+15A|
=1
|31+18A|
=1
|29+6A|
=1
|29+27A|
=1
|26+6A|
=1
|26+27A|
=1
|24+4A|
=1
|24+7A|
=1
|24+26A|
=1
|24+29A|
=1
|23+0A|
=1
|21+11A|
=1
|21+22A|
=1
|20+15A|
=1
|20+18A|
=1
|18+5A|
=1
|18+16A|
=1
|18+17A|
=1
|18+28A|
=1
|15+5A|
=1
|15+16A|
=1
|15+17A|
=1
|15+28A|
=1
|13+15A|
=1
|13+18A|
=1
|12+11A|
=1
|12+22A|
=1
|10+0A|
=1
|9+4A|
=1
|9+7A|
=1
|9+26A|
=1
|9+29A|
=1
|7+6A|
=1
|7+27A|
=1
|4+6A|
=1
|4+27A|
=1
|2+15A|
=1
|2+18A|
=1
|1+0A|
=1