Inhaltsverzeichnis

Development of
Algorithmic Constructions

07:58:53
Deutsch
29.Mar 2024

29 31 33


Number p=

Calculation

a^2+(bI)^2 = a^2-b^2 = 1 mod p

Distance to the middle point
ph=(prim-1)/2;
if (i < ph) m_i=i;
else m_i=prim-i;

if (j < ph) m_j=j;
else m_j=prim-j;

dist=(m_i^2+m_j^2) % prim;

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

Number = 31, Exponent = 1083, 31 = 3 mod 4, 31 = 7 mod 8

30
030 I
Number of elements = 30

Number = 31, Exponent = 1083, 31 = 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
Square 3 Square 19

href=19. root

30^2-0^2=1
30*0=0
dist=1
30^2-10^2=25
30/10=3
30*10=21
dist=15
30^2-21^2=25
30/21=28
30*21=10
dist=15
28^2-7^2=22
28/7=4
28*7=10
dist=8
28^2-24^2=22
28/24=27
28*24=21
dist=8
27^2-13^2=2
27/13=14
27*13=10
dist=9
27^2-18^2=2
27/18=17
27*18=21
dist=9
22^2-11^2=22
22/11=2
22*11=25
dist=6
22^2-20^2=22
22/20=29
22*20=6
dist=6
21^2-3^2=29
21/3=7
21*3=1
dist=13
21^2-28^2=29
21/28=24
21*28=30
dist=13
19^2-10^2=13
19/10=5
19*10=4
dist=2
19^2-21^2=13
19/21=26
19*21=27
dist=2
18^2-1^2=13
18/1=18
18*1=18
dist=12
18^2-30^2=13
18/30=13
18*30=13
dist=12
13^2-1^2=13
13/1=13
13*1=13
dist=12
13^2-30^2=13
13/30=18
13*30=18
dist=12
12^2-10^2=13
12/10=26
12*10=27
dist=2
12^2-21^2=13
12/21=5
12*21=4
dist=2
10^2-3^2=29
10/3=24
10*3=30
dist=13
10^2-28^2=29
10/28=7
10*28=1
dist=13
9^2-11^2=22
9/11=29
9*11=6
dist=6
9^2-20^2=22
9/20=2
9*20=25
dist=6
4^2-13^2=2
4/13=17
4*13=21
dist=9
4^2-18^2=2
4/18=14
4*18=10
dist=9
3^2-7^2=22
3/7=27
3*7=21
dist=8
3^2-24^2=22
3/24=4
3*24=10
dist=8
1^2-0^2=1
1*0=0
dist=1
1^2-10^2=25
1/10=28
1*10=10
dist=15
1^2-21^2=25
1/21=3
1*21=21
dist=15