Inhaltsverzeichnis

Development of
Algorithmic Constructions

00:44:02
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 Square 11 Square 19

Number = 31, Exponent = 627, 31 = 3 mod 4, 31 = 7 mod 8

30
030 I
Number of elements = 30

Number = 31, Exponent = 627, 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 Square 19

href=19. root

30^2-0^2=1
30*0=0
dist=1
27^2-10^2=9
27/10=12
27*10=22
dist=10
27^2-21^2=9
27/21=19
27*21=9
dist=10
25^2-5^2=11
25/5=5
25*5=1
dist=3
25^2-26^2=11
25/26=26
25*26=30
dist=3
22^2-2^2=15
22/2=11
22*2=13
dist=15
22^2-4^2=3
22/4=21
22*4=26
dist=13
22^2-13^2=5
22/13=16
22*13=7
dist=4
22^2-18^2=5
22/18=15
22*18=24
dist=4
22^2-27^2=3
22/27=10
22*27=5
dist=13
22^2-29^2=15
22/29=20
22*29=18
dist=15
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
19^2-3^2=11
19/3=27
19*3=26
dist=11
19^2-28^2=11
19/28=4
19*28=5
dist=11
12^2-3^2=11
12/3=4
12*3=5
dist=11
12^2-28^2=11
12/28=27
12*28=26
dist=11
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
9^2-2^2=15
9/2=20
9*2=18
dist=15
9^2-4^2=3
9/4=10
9*4=5
dist=13
9^2-13^2=5
9/13=15
9*13=24
dist=4
9^2-18^2=5
9/18=16
9*18=7
dist=4
9^2-27^2=3
9/27=21
9*27=26
dist=13
9^2-29^2=15
9/29=11
9*29=13
dist=15
6^2-5^2=11
6/5=26
6*5=30
dist=3
6^2-26^2=11
6/26=5
6*26=1
dist=3
4^2-10^2=9
4/10=19
4*10=9
dist=10
4^2-21^2=9
4/21=12
4*21=22
dist=10
1^2-0^2=1
1*0=0
dist=1