Inhaltsverzeichnis

Development of
Algorithmic Constructions

23:08:16
Deutsch
16.Oct 2021

31 33 35
√2 √3 √5 √6 √7 √8

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

32
032√5
Number of elements = 24
Number of red elements = 24
Number of elements / Number of red elements = 1

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

|30+8AI|
=32
|30+14AI|
=32
|30+19AI|
=32
|30+25AI|
=32
|21+2AI|
=32
|21+13AI|
=32
|21+20AI|
=32
|21+31AI|
=32
|18+1AI|
=32
|18+10AI|
=32
|18+23AI|
=32
|18+32AI|
=32
|15+1AI|
=32
|15+10AI|
=32
|15+23AI|
=32
|15+32AI|
=32
|12+2AI|
=32
|12+13AI|
=32
|12+20AI|
=32
|12+31AI|
=32
|3+8AI|
=32
|3+14AI|
=32
|3+19AI|
=32
|3+25AI|
=32