Inhaltsverzeichnis

Development of
Algorithmic Constructions

21:15:08
Deutsch
28.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 11

Number = 31, Exponent = 99, 31 = 3 mod 4, 31 = 7 mod 8

30
030 I
Number of elements = 30

Number = 31, Exponent = 99, 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 11

href=11. root

30^2-0^2=1
30*0=0
dist=1
30^2-11^2=4
30/11=14
30*11=20
dist=14
30^2-20^2=4
30/20=17
30*20=11
dist=14
26^2-2^2=21
26/2=13
26*2=21
dist=3
26^2-6^2=20
26/6=25
26*6=1
dist=15
26^2-14^2=15
26/14=24
26*14=23
dist=23
26^2-17^2=15
26/17=7
26*17=8
dist=23
26^2-25^2=20
26/25=6
26*25=30
dist=15
26^2-29^2=21
26/29=18
26*29=10
dist=3
24^2-3^2=9
24/3=8
24*3=10
dist=0
24^2-28^2=9
24/28=23
24*28=21
dist=0
21^2-11^2=10
21/11=16
21*11=14
dist=5
21^2-20^2=10
21/20=15
21*20=17
dist=5
18^2-8^2=12
18/8=10
18*8=20
dist=5
18^2-23^2=12
18/23=21
18*23=11
dist=5
13^2-8^2=12
13/8=21
13*8=11
dist=5
13^2-23^2=12
13/23=10
13*23=20
dist=5
10^2-11^2=10
10/11=15
10*11=17
dist=5
10^2-20^2=10
10/20=16
10*20=14
dist=5
7^2-3^2=9
7/3=23
7*3=21
dist=0
7^2-28^2=9
7/28=8
7*28=10
dist=0
5^2-2^2=21
5/2=18
5*2=10
dist=3
5^2-6^2=20
5/6=6
5*6=30
dist=15
5^2-14^2=15
5/14=7
5*14=8
dist=23
5^2-17^2=15
5/17=24
5*17=23
dist=23
5^2-25^2=20
5/25=25
5*25=1
dist=15
5^2-29^2=21
5/29=13
5*29=21
dist=3
1^2-0^2=1
1*0=0
dist=1
1^2-11^2=4
1/11=17
1*11=11
dist=14
1^2-20^2=4
1/20=14
1*20=20
dist=14