Development of
Algorithmic Constructions

05:56:51

20.Apr 2024

29 31 33
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14

Calculation

A=√5
(a+bA)² = a²+b²A² + 2abA mod p
|(a+bA)| = (a+bA)(a-bA) = a²-b²A² mod p

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

Number = 31, Adjoined = √5, Exponent = 1, Jacobi (5, 31) = 131 = 3 mod 4, 31 = 7 mod 8

30
0	30√5

Number of elements = 61

Number = 31, Adjoined = √5, Exponent = 1, Jacobi (5, 31) = 131 = 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

|30+5A|
=0

|30+26A|
=0

|29+10A|
=0

|29+21A|
=0

|28+15A|
=0

|28+16A|
=0

|27+11A|
=0

|27+20A|
=0

|26+6A|
=0

|26+25A|
=0

|25+1A|
=0

|25+30A|
=0

|24+4A|
=0

|24+27A|
=0

|23+9A|
=0

|23+22A|
=0

|22+14A|
=0

|22+17A|
=0

|21+12A|
=0

|21+19A|
=0

|20+7A|
=0

|20+24A|
=0

|19+2A|
=0

|19+29A|
=0

|18+3A|
=0

|18+28A|
=0

|17+8A|
=0

|17+23A|
=0

|16+13A|
=0

|16+18A|
=0

|15+13A|
=0

|15+18A|
=0

|14+8A|
=0

|14+23A|
=0

|13+3A|
=0

|13+28A|
=0

|12+2A|
=0

|12+29A|
=0

|11+7A|
=0

|11+24A|
=0

|10+12A|
=0

|10+19A|
=0

|9+14A|
=0

|9+17A|
=0

|8+9A|
=0

|8+22A|
=0

|7+4A|
=0

|7+27A|
=0

|6+1A|
=0

|6+30A|
=0

|5+6A|
=0

|5+25A|
=0

|4+11A|
=0

|4+20A|
=0

|3+15A|
=0

|3+16A|
=0

|2+10A|
=0

|2+21A|
=0

|1+5A|
=0

|1+26A|
=0

|0+0A|
=0