Inhaltsverzeichnis

Development of
Algorithmic Constructions

22:39:07
Deutsch
16.Oct 2021

27 29 31
√2 √3 √5 √6 √7 √8

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 = 29, Adjoined = √2, Exponent = 1, Jacobi (2, 29) = -1, 29 = 1 mod 4, 29 = 5 mod 8

28
028√2
Number of elements = 30

Number = 29, Adjoined = √2, Exponent = 1, Jacobi (2, 29) = -1, 29 = 1 mod 4, 29 = 5 mod 8

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

|28+12AI|
=28
|28+17AI|
=28
|26+13AI|
=28
|26+16AI|
=28
|25+8AI|
=28
|25+21AI|
=28
|24+4AI|
=28
|24+25AI|
=28
|23+5AI|
=28
|23+24AI|
=28
|22+2AI|
=28
|22+27AI|
=28
|19+14AI|
=28
|19+15AI|
=28
|17+0AI|
=28
|12+0AI|
=28
|10+14AI|
=28
|10+15AI|
=28
|7+2AI|
=28
|7+27AI|
=28
|6+5AI|
=28
|6+24AI|
=28
|5+4AI|
=28
|5+25AI|
=28
|4+8AI|
=28
|4+21AI|
=28
|3+13AI|
=28
|3+16AI|
=28
|1+12AI|
=28
|1+17AI|
=28