Inhaltsverzeichnis

Development of
Algorithmic Constructions

10:06:02
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

Number = 31, Exponent = 27, 31 = 3 mod 4, 31 = 7 mod 8

30
030 I
Number of elements = 30

Number = 31, Exponent = 27, 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

href=3. root

30^2-0^2=1
30*0=0
dist=1
28^2-13^2=26
28/13=26
28*13=23
dist=14
28^2-18^2=26
28/18=5
28*18=8
dist=14
27^2-9^2=28
27/9=3
27*9=26
dist=13
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
27^2-22^2=28
27/22=28
27*22=5
dist=13
26^2-2^2=21
26/2=13
26*2=21
dist=3
26^2-29^2=21
26/29=18
26*29=10
dist=3
24^2-6^2=13
24/6=4
24*6=20
dist=13
24^2-25^2=13
24/25=27
24*25=11
dist=13
20^2-6^2=23
20/6=24
20*6=27
dist=1
20^2-25^2=23
20/25=7
20*25=4
dist=1
18^2-9^2=26
18/9=2
18*9=7
dist=4
18^2-22^2=26
18/22=29
18*22=24
dist=4
13^2-9^2=26
13/9=29
13*9=24
dist=4
13^2-22^2=26
13/22=2
13*22=7
dist=4
11^2-6^2=23
11/6=7
11*6=4
dist=1
11^2-25^2=23
11/25=24
11*25=27
dist=1
7^2-6^2=13
7/6=27
7*6=11
dist=13
7^2-25^2=13
7/25=4
7*25=20
dist=13
5^2-2^2=21
5/2=18
5*2=10
dist=3
5^2-29^2=21
5/29=13
5*29=21
dist=3
4^2-9^2=28
4/9=28
4*9=5
dist=13
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
4^2-22^2=28
4/22=3
4*22=26
dist=13
3^2-13^2=26
3/13=5
3*13=8
dist=14
3^2-18^2=26
3/18=26
3*18=23
dist=14
1^2-0^2=1
1*0=0
dist=1