Inhaltsverzeichnis

Development of
Algorithmic Constructions

22:05:53
Deutsch
16.Oct 2021

29 31 33
√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

Number = 31, Adjoined = √5, Exponent = 1, Jacobi (5, 31) = 131 = 3 mod 4, 31 = 7 mod 8

30
030√5
Number of elements = 32

Number = 31, Adjoined = √5, Exponent = 1, Jacobi (5, 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

|27+3AI|
=30
|27+28AI|
=30
|26+1AI|
=30
|26+30AI|
=30
|25+6AI|
=30
|25+25AI|
=30
|23+7AI|
=30
|23+24AI|
=30
|20+9AI|
=30
|20+22AI|
=30
|19+8AI|
=30
|19+23AI|
=30
|18+11AI|
=30
|18+20AI|
=30
|17+2AI|
=30
|17+29AI|
=30
|14+2AI|
=30
|14+29AI|
=30
|13+11AI|
=30
|13+20AI|
=30
|12+8AI|
=30
|12+23AI|
=30
|11+9AI|
=30
|11+22AI|
=30
|8+7AI|
=30
|8+24AI|
=30
|6+6AI|
=30
|6+25AI|
=30
|5+1AI|
=30
|5+30AI|
=30
|4+3AI|
=30
|4+28AI|
=30