Inhaltsverzeichnis

Development of
Algorithmic Constructions

21:43:01
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 29

Number = 31, Exponent = 841, 31 = 3 mod 4, 31 = 7 mod 8

30
030 I
Number of elements = 30

Number = 31, Exponent = 841, 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 29

href=29. root

30^2-0^2=1
30*0=0
dist=1
29^2-6^2=30
29/6=10
29*6=19
dist=8
29^2-8^2=2
29/8=23
29*8=15
dist=10
29^2-23^2=2
29/23=8
29*23=16
dist=10
29^2-25^2=30
29/25=21
29*25=12
dist=8
28^2-5^2=15
28/5=18
28*5=16
dist=6
28^2-14^2=30
28/14=2
28*14=20
dist=17
28^2-17^2=30
28/17=29
28*17=11
dist=17
28^2-26^2=15
28/26=13
28*26=15
dist=6
24^2-11^2=21
24/11=5
24*11=16
dist=8
24^2-20^2=21
24/20=26
24*20=15
dist=8
21^2-14^2=28
21/14=17
21*14=15
dist=24
21^2-17^2=28
21/17=14
21*17=16
dist=24
19^2-9^2=1
19/9=9
19*9=16
dist=5
19^2-22^2=1
19/22=22
19*22=15
dist=5
12^2-9^2=1
12/9=22
12*9=15
dist=5
12^2-22^2=1
12/22=9
12*22=16
dist=5
10^2-14^2=28
10/14=14
10*14=16
dist=24
10^2-17^2=28
10/17=17
10*17=15
dist=24
7^2-11^2=21
7/11=26
7*11=15
dist=8
7^2-20^2=21
7/20=5
7*20=16
dist=8
3^2-5^2=15
3/5=13
3*5=15
dist=6
3^2-14^2=30
3/14=29
3*14=11
dist=17
3^2-17^2=30
3/17=2
3*17=20
dist=17
3^2-26^2=15
3/26=18
3*26=16
dist=6
2^2-6^2=30
2/6=21
2*6=12
dist=8
2^2-8^2=2
2/8=8
2*8=16
dist=10
2^2-23^2=2
2/23=23
2*23=15
dist=10
2^2-25^2=30
2/25=10
2*25=19
dist=8
1^2-0^2=1
1*0=0
dist=1