Inhaltsverzeichnis

Development of
Algorithmic Constructions

07:01:13
Deutsch
29.Mar 2024

29 31 33
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15

Number p= Adjoined square root=

Calculation

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

30
030√7
Number of elements = 61

Number = 31, Adjoined = √7, Exponent = 1, Jacobi (7, 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

|30+3A|
=0
|30+28A|
=0
|29+6A|
=0
|29+25A|
=0
|28+9A|
=0
|28+22A|
=0
|27+12A|
=0
|27+19A|
=0
|26+15A|
=0
|26+16A|
=0
|25+13A|
=0
|25+18A|
=0
|24+10A|
=0
|24+21A|
=0
|23+7A|
=0
|23+24A|
=0
|22+4A|
=0
|22+27A|
=0
|21+1A|
=0
|21+30A|
=0
|20+2A|
=0
|20+29A|
=0
|19+5A|
=0
|19+26A|
=0
|18+8A|
=0
|18+23A|
=0
|17+11A|
=0
|17+20A|
=0
|16+14A|
=0
|16+17A|
=0
|15+14A|
=0
|15+17A|
=0
|14+11A|
=0
|14+20A|
=0
|13+8A|
=0
|13+23A|
=0
|12+5A|
=0
|12+26A|
=0
|11+2A|
=0
|11+29A|
=0
|10+1A|
=0
|10+30A|
=0
|9+4A|
=0
|9+27A|
=0
|8+7A|
=0
|8+24A|
=0
|7+10A|
=0
|7+21A|
=0
|6+13A|
=0
|6+18A|
=0
|5+15A|
=0
|5+16A|
=0
|4+12A|
=0
|4+19A|
=0
|3+9A|
=0
|3+22A|
=0
|2+6A|
=0
|2+25A|
=0
|1+3A|
=0
|1+28A|
=0
|0+0A|
=0