Перегляд вихідного коду сторінки Розклади ґаусових чисел на прості множники (таблиця)

Множина [[Гауссові числа|ґаусових чисел]] складається з нуля, дільників одиниці (<math>\pm1,\pm i</math>), [[Гауссові числа#Прості гауссові числа|простих]] та складених ґаусових чисел. Стаття містить таблицю, у якій ґаусовим числам вигляду <math>x+yi</math> відповідає розклад на прості множники, якщо число є складеним, та позначка (п), якщо число є простим. Розклади на прості множники подано у вигляді добутку дільника одиниці та простих ґаусових чисел, піднесених до натуральних степенів.

Зауважимо, що числа, які є [[Просте число|простими]] на множині [[Натуральне число|натуральних чисел]], можуть бути [[Складене число|складеними]] на множині ґаусових чисел. Наприклад, число <math>5</math> є простим на множині натуральних чисел, а на множині ґаусових чисел воно має такий розклад на прості множники: <math>5=(2+i)(2-i)</math>.

=== Примітка ===
Друга колонка таблиці містить ґаусові числа лише з першої [[Декартова система координат|координатної чверті]], тобто числа, у яких дійсна частина є додатною, а уявна&nbsp;— невід'ємною.

Розклади ґаусових чисел на прості множники можуть відрізнятися асоційованими простими множниками. Таким чином, число <math>4+2i=-i(1+i)^2(2+i)</math> можна також розкласти так: <math>4+2i=(1+i)^2(1-2i)</math>. Для однозначності числа будуть розкладені за таким правилом: множники у розкладах є простими числами, що лежать у першій або четвертій координатних чвертях, та у яких дійсна частина є більшою за модулем, ніж уявна.

Числа впорядковано за зростанням норми <math>x^2+y^2</math> ({{OEIS|A001481}}). Таблиця містить всі прості та складені ґаусові числа, що мають норму від 2 до 1000. Прості ґаусові числа можуть мати лише ті норми, що описані у послідовності {{OEIS2C|A055025}}. Більш зручні версії послідовності: {{OEIS2C|A103431}} та {{OEIS2C|A103432}}.

== Таблиця розкладів ==
{| class="wikitable sortable" style="float:left; margin-right:1em"
!Норма
!Число
!Розклад
|-
|2
|{{math|1+''i''}}
|(п)
|-
|4
|{{math|2}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>}}
|-
|5
|{{math|2+''i''}} <br/>{{math|1+2''i''}}
|(п) <br/>(п)
|-
|8
|{{math|2+2''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>}}
|-
|9
|{{math|3}}
|(п)
|-
|10
|{{math|1+3''i''}} <br/>{{math|3+''i''}}
|{{math|(1+''i'')&middot;(2+''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')}}
|-
|13
|{{math|3+2''i''}} <br/>{{math|2+3''i''}}
|(п) <br/>(п)
|-
|16
|{{math|4}}
|{{math|−(1+''i'')<sup>4</sup>}}
|-
|17
|{{math|1+4''i''}} <br/>{{math|4+''i''}}
|(п) <br/>(п)
|-
|18
|{{math|3+3''i''}}
|{{math|(1+''i'')&middot;3}}
|-
|20
|{{math|2+4''i''}} <br/>{{math|4+2''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')}}
|-
|25
|{{math|3+4''i''}} <br/>{{math|4+3''i''}} <br/>{{math|5}}
|{{math|(2+''i'')<sup>2</sup>}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>}} <br/>{{math|(2+''i'')&middot;(2−''i'')}}
|-
|26
|{{math|1+5''i''}} <br/>{{math|5+''i''}}
|{{math|(1+''i'')&middot;(3+2''i'')}} <br/>{{math|(1+''i'')&middot;(3−2''i'')}}
|-
|29
|{{math|2+5''i''}} <br/>{{math|5+2''i''}}
|(п) <br/>(п)
|-
|32
|{{math|4+4''i''}}
|{{math|−(1+''i'')<sup>5</sup>}}
|-
|34
|{{math|3+5''i''}} <br/>{{math|5+3''i''}}
|{{math|(1+''i'')&middot;(4+''i'')}} <br/>{{math|(1+''i'')&middot;(4−''i'')}}
|-
|36
|{{math|6}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;3}}
|-
|37
|{{math|1+6''i''}} <br/>{{math|6+''i''}}
|(п) <br/>(п)
|-
|40
|{{math|2+6''i''}} <br/>{{math|6+2''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2−''i'')}}
|-
|41
|{{math|4+5''i''}} <br/>{{math|5+4''i''}}
|(п) <br/>(п)
|-
|45
|{{math|3+6''i''}} <br/>{{math|6+3''i''}}
|{{math|''i''&middot;(2−''i'')&middot;3}} <br/>{{math|(2+''i'')&middot;3}}
|-
|49
|{{math|7}}
|(п)
|-
|50
|{{math|1+7''i''}} <br/>{{math|5+5''i''}} <br/>{{math|7+''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')<sup>2</sup>}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(2−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')<sup>2</sup>}}
|-
|52
|{{math|4+6''i''}} <br/>{{math|6+4''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(3+2''i'')}}
|-
|53
|{{math|2+7''i''}} <br/>{{math|7+2''i''}}
|(п) <br/>(п)
|-
|58
|{{math|3+7''i''}} <br/>{{math|7+3''i''}}
|{{math|(1+''i'')&middot;(5+2''i'')}} <br/>{{math|(1+''i'')&middot;(5−2''i'')}}
|-
|61
|{{math|5+6''i''}} <br/>{{math|6+5''i''}}
|(п) <br/>(п)
|-
|64
|{{math|8}}
|{{math|''i''&middot;(1+''i'')<sup>6</sup>}}
|-
|65
|{{math|1+8''i''}} <br/>{{math|4+7''i''}} <br/>{{math|7+4''i''}} <br/>{{math|8+''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(3−2''i'')}} <br/>{{math|(2+''i'')&middot;(3+2''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(3−2''i'')}} <br/>{{math|(2−''i'')&middot;(3+2''i'')}}
|-
|68
|{{math|2+8''i''}} <br/>{{math|8+2''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(4−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(4+''i'')}}
|-
|72
|{{math|6+6''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;3}}
|-
|73
|{{math|3+8''i''}} <br/>{{math|8+3''i''}}
|(п) <br/>(п)
|-
|74
|{{math|5+7''i''}} <br/>{{math|7+5''i''}}
|{{math|(1+''i'')&middot;(6+''i'')}} <br/>{{math|(1+''i'')&middot;(6−''i'')}}
|-
|80
|{{math|4+8''i''}} <br/>{{math|8+4''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(2−''i'')}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(2+''i'')}}
|-
|81
|{{math|9}}
|{{math|3<sup>2</sup>}}
|-
|82
|{{math|1+9''i''}} <br/>{{math|9+''i''}}
|{{math|(1+''i'')&middot;(5+4''i'')}} <br/>{{math|(1+''i'')&middot;(5−4''i'')}}
|-
|85
|{{math|2+9''i''}} <br/>{{math|6+7''i''}} <br/>{{math|7+6''i''}} <br/>{{math|9+2''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(4+''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(4−''i'')}} <br/>{{math|(2+''i'')&middot;(4+''i'')}} <br/>{{math|(2+''i'')&middot;(4−''i'')}}
|-
|89
|{{math|5+8''i''}} <br/>{{math|8+5''i''}}
|(п) <br/>(п)
|-
|90
|{{math|3+9''i''}} <br/>{{math|9+3''i''}}
|{{math|(1+''i'')&middot;(2+''i'')&middot;3}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;3}}
|-
|97
|{{math|4+9''i''}} <br/>{{math|9+4''i''}}
|(п) <br/>(п)
|-
|98
|{{math|7+7''i''}}
|{{math|(1+''i'')&middot;7}}
|-
|100
|{{math|6+8''i''}} <br/>{{math|8+6''i''}} <br/>{{math|10}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')<sup>2</sup>}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')<sup>2</sup>}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(2−''i'')}}
|-
|101
|{{math|1+10''i''}} <br/>{{math|10+''i''}}
|(п) <br/>(п)
|-
|104
|{{math|2+10''i''}} <br/>{{math|10+2''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(3+2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(3−2''i'')}}
|-
|106
|{{math|5+9''i''}} <br/>{{math|9+5''i''}}
|{{math|(1+''i'')&middot;(7+2''i'')}} <br/>{{math|(1+''i'')&middot;(7−2''i'')}}
|-
|109
|{{math|3+10''i''}} <br/>{{math|10+3''i''}}
|(п) <br/>(п)
|-
|113
|{{math|7+8''i''}} <br/>{{math|8+7''i''}}
|(п) <br/>(п)
|-
|116
|{{math|4+10''i''}} <br/>{{math|10+4''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(5−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(5+2''i'')}}
|-
|117
|{{math|6+9''i''}} <br/>{{math|9+6''i''}}
|{{math|''i''&middot;3&middot;(3−2''i'')}} <br/>{{math|3&middot;(3+2''i'')}}
|-
|121
|{{math|11}}
|(п)
|-
|122
|{{math|1+11''i''}} <br/>{{math|11+''i''}}
|{{math|(1+''i'')&middot;(6+5''i'')}} <br/>{{math|(1+''i'')&middot;(6−5''i'')}}
|-
|125
|{{math|2+11''i''}} <br/>{{math|5+10''i''}} <br/>{{math|10+5''i''}} <br/>{{math|11+2''i''}}
|{{math|(2+''i'')<sup>3</sup>}} <br/>{{math|''i''&middot;(2+''i'')&middot;(2−''i'')<sup>2</sup>}} <br/>{{math|(2+''i'')<sup>2</sup>&middot;(2−''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>3</sup>}}
|-
|128
|{{math|8+8''i''}}
|{{math|''i''&middot;(1+''i'')<sup>7</sup>}}
|-
|130
|{{math|3+11''i''}} <br/>{{math|7+9''i''}} <br/>{{math|9+7''i''}} <br/>{{math|11+3''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')&middot;(3−2''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(3+2''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')&middot;(3+2''i'')}}
|-
|136
|{{math|6+10''i''}} <br/>{{math|10+6''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(4+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(4−''i'')}}
|-
|137
|{{math|4+11''i''}} <br/>{{math|11+4''i''}}
|(п) <br/>(п)
|-
|144
|{{math|12}}
|{{math|−(1+''i'')<sup>4</sup>&middot;3}}
|-
|145
|{{math|1+12''i''}} <br/>{{math|8+9''i''}} <br/>{{math|9+8''i''}} <br/>{{math|12+''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(5+2''i'')}} <br/>{{math|(2+''i'')&middot;(5+2''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(5−2''i'')}} <br/>{{math|(2+''i'')&middot;(5−2''i'')}}
|-
|146
|{{math|5+11''i''}} <br/>{{math|11+5''i''}}
|{{math|(1+''i'')&middot;(8+3''i'')}} <br/>{{math|(1+''i'')&middot;(8−3''i'')}}
|-
|148
|{{math|2+12''i''}} <br/>{{math|12+2''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(6−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(6+''i'')}}
|-
|149
|{{math|7+10''i''}} <br/>{{math|10+7''i''}}
|(п) <br/>(п)
|-
|153
|{{math|3+12''i''}} <br/>{{math|12+3''i''}}
|{{math|''i''&middot;3&middot;(4−''i'')}} <br/>{{math|3&middot;(4+''i'')}}
|-
|157
|{{math|6+11''i''}} <br/>{{math|11+6''i''}}
|(п) <br/>(п)
|-
|160
|{{math|4+12''i''}} <br/>{{math|12+4''i''}}
|{{math|−(1+''i'')<sup>5</sup>&middot;(2+''i'')}} <br/>{{math|−(1+''i'')<sup>5</sup>&middot;(2−''i'')}}
|-
|162
|{{math|9+9''i''}}
|{{math|(1+''i'')&middot;3<sup>2</sup>}}
|-
|164
|{{math|8+10''i''}} <br/>{{math|10+8''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(5−4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(5+4''i'')}}
|-
|169
|{{math|5+12''i''}} <br/>{{math|12+5''i''}} <br/>{{math|13}}
|{{math|(3+2''i'')<sup>2</sup>}} <br/>{{math|''i''&middot;(3−2''i'')<sup>2</sup>}} <br/>{{math|(3+2''i'')&middot;(3−2''i'')}}
|-
|170
|{{math|1+13''i''}} <br/>{{math|7+11''i''}} <br/>{{math|11+7''i''}} <br/>{{math|13+''i''}}
|{{math|(1+''i'')&middot;(2+''i'')&middot;(4+''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(4−''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(4+''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(4−''i'')}}
|-
|173
|{{math|2+13''i''}} <br/>{{math|13+2''i''}}
|(п) <br/>(п)
|-
|178
|{{math|3+13''i''}} <br/>{{math|13+3''i''}}
|{{math|(1+''i'')&middot;(8+5''i'')}} <br/>{{math|(1+''i'')&middot;(8−5''i'')}}
|-
|180
|{{math|6+12''i''}} <br/>{{math|12+6''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;3}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;3}}
|-
|181
|{{math|9+10''i''}} <br/>{{math|10+9''i''}}
|(п) <br/>(п)
|-
|185
|{{math|4+13''i''}} <br/>{{math|8+11''i''}} <br/>{{math|11+8''i''}} <br/>{{math|13+4''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(6+''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(6−''i'')}} <br/>{{math|(2+''i'')&middot;(6+''i'')}} <br/>{{math|(2+''i'')&middot;(6−''i'')}}
|-
|193
|{{math|7+12''i''}} <br/>{{math|12+7''i''}}
|(п) <br/>(п)
|-
|194
|{{math|5+13''i''}} <br/>{{math|13+5''i''}}
|{{math|(1+''i'')&middot;(9+4''i'')}} <br/>{{math|(1+''i'')&middot;(9−4''i'')}}
|-
|196
|{{math|14}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;7}}
|-
|197
|{{math|1+14''i''}} <br/>{{math|14+''i''}}
|(п) <br/>(п)
|-
|200
|{{math|2+14''i''}} <br/>{{math|10+10''i''}} <br/>{{math|14+2''i''}}
|{{math|(1+''i'')<sup>3</sup>&middot;(2−''i'')<sup>2</sup>}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2+''i'')&middot;(2−''i'')}} <br/>{{math|−(1+''i'')<sup>3</sup>&middot;(2+''i'')<sup>2</sup>}}
|-
|202
|{{math|9+11''i''}} <br/>{{math|11+9''i''}}
|{{math|(1+''i'')&middot;(10+''i'')}} <br/>{{math|(1+''i'')&middot;(10−''i'')}}
|-
|205
|{{math|3+14''i''}} <br/>{{math|6+13''i''}} <br/>{{math|13+6''i''}} <br/>{{math|14+3''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(5−4''i'')}} <br/>{{math|(2+''i'')&middot;(5+4''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(5−4''i'')}} <br/>{{math|(2−''i'')&middot;(5+4''i'')}}
|-
|208
|{{math|8+12''i''}} <br/>{{math|12+8''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(3−2''i'')}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(3+2''i'')}}
|-
|212
|{{math|4+14''i''}} <br/>{{math|14+4''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(7−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(7+2''i'')}}
|-
|218
|{{math|7+13''i''}} <br/>{{math|13+7''i''}}
|{{math|(1+''i'')&middot;(10+3''i'')}} <br/>{{math|(1+''i'')&middot;(10−3''i'')}}
|-
|221
|{{math|5+14''i''}} <br/>{{math|10+11''i''}} <br/>{{math|11+10''i''}} <br/>{{math|14+5''i''}}
|{{math|''i''&middot;(3−2''i'')&middot;(4+''i'')}} <br/>{{math|(3+2''i'')&middot;(4+''i'')}} <br/>{{math|''i''&middot;(3−2''i'')&middot;(4−''i'')}} <br/>{{math|(3+2''i'')&middot;(4−''i'')}}
|-
|225
|{{math|9+12''i''}} <br/>{{math|12+9''i''}} <br/>{{math|15}}
|{{math|(2+''i'')<sup>2</sup>&middot;3}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;3}} <br/>{{math|(2+''i'')&middot;(2−''i'')&middot;3}}
|-
|226
|{{math|1+15''i''}} <br/>{{math|15+''i''}}
|{{math|(1+''i'')&middot;(8+7''i'')}} <br/>{{math|(1+''i'')&middot;(8−7''i'')}}
|-
|229
|{{math|2+15''i''}} <br/>{{math|15+2''i''}}
|(п) <br/>(п)
|-
|232
|{{math|6+14''i''}} <br/>{{math|14+6''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(5+2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(5−2''i'')}}
|-
|233
|{{math|8+13''i''}} <br/>{{math|13+8''i''}}
|(п) <br/>(п)
|-
|234
|{{math|3+15''i''}} <br/>{{math|15+3''i''}}
|{{math|(1+''i'')&middot;3&middot;(3+2''i'')}} <br/>{{math|(1+''i'')&middot;3&middot;(3−2''i'')}}
|-
|241
|{{math|4+15''i''}} <br/>{{math|15+4''i''}}
|(п) <br/>(п)
|-
|242
|{{math|11+11''i''}}
|{{math|(1+''i'')&middot;11}}
|-
|244
|{{math|10+12''i''}} <br/>{{math|12+10''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(6−5''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(6+5''i'')}}
|-
|245
|{{math|7+14''i''}} <br/>{{math|14+7''i''}}
|{{math|''i''&middot;(2−''i'')&middot;7}} <br/>{{math|(2+''i'')&middot;7}}
|-
|250
|{{math|5+15''i''}} <br/>{{math|9+13''i''}} <br/>{{math|13+9''i''}} <br/>{{math|15+5''i''}}
|{{math|(1+''i'')&middot;(2+''i'')<sup>2</sup>&middot;(2−''i'')}} <br/>{{math|''i''&middot;(1+''i'')&middot;(2−''i'')<sup>3</sup>}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')<sup>3</sup>}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(2−''i'')<sup>2</sup>}}
|}
{| class="wikitable sortable" style="float:left; margin-right:1em"
!Норма
!Число
!Розклад
|-
|256
|{{math|16}}
|{{math|(1+''i'')<sup>8</sup>}}
|-
|257
|{{math|1+16''i''}} <br/>{{math|16+''i''}}
|(п) <br/>(п)
|-
|260
|{{math|2+16''i''}} <br/>{{math|8+14''i''}} <br/>{{math|14+8''i''}} <br/>{{math|16+2''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(3+2''i'')}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(3+2''i'')}}
|-
|261
|{{math|6+15''i''}} <br/>{{math|15+6''i''}}
|{{math|''i''&middot;3&middot;(5−2''i'')}} <br/>{{math|3&middot;(5+2''i'')}}
|-
|265
|{{math|3+16''i''}} <br/>{{math|11+12''i''}} <br/>{{math|12+11''i''}} <br/>{{math|16+3''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(7+2''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(7−2''i'')}} <br/>{{math|(2+''i'')&middot;(7+2''i'')}} <br/>{{math|(2+''i'')&middot;(7−2''i'')}}
|-
|269
|{{math|10+13''i''}} <br/>{{math|13+10''i''}}
|(п) <br/>(п)
|-
|272
|{{math|4+16''i''}} <br/>{{math|16+4''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(4−''i'')}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(4+''i'')}}
|-
|274
|{{math|7+15''i''}} <br/>{{math|15+7''i''}}
|{{math|(1+''i'')&middot;(11+4''i'')}} <br/>{{math|(1+''i'')&middot;(11−4''i'')}}
|-
|277
|{{math|9+14''i''}} <br/>{{math|14+9''i''}}
|(п) <br/>(п)
|-
|281
|{{math|5+16''i''}} <br/>{{math|16+5''i''}}
|(п) <br/>(п)
|-
|288
|{{math|12+12''i''}}
|{{math|−(1+''i'')<sup>5</sup>&middot;3}}
|-
|289
|{{math|8+15''i''}} <br/>{{math|15+8''i''}} <br/>{{math|17}}
|{{math|''i''&middot;(4−''i'')<sup>2</sup>}} <br/>{{math|(4+''i'')<sup>2</sup>}} <br/>{{math|(4+''i'')&middot;(4−''i'')}}
|-
|290
|{{math|1+17''i''}} <br/>{{math|11+13''i''}} <br/>{{math|13+11''i''}} <br/>{{math|17+''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')&middot;(5−2''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(5−2''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(5+2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')&middot;(5+2''i'')}}
|-
|292
|{{math|6+16''i''}} <br/>{{math|16+6''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(8−3''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(8+3''i'')}}
|-
|293
|{{math|2+17''i''}} <br/>{{math|17+2''i''}}
|(п) <br/>(п)
|-
|296
|{{math|10+14''i''}} <br/>{{math|14+10''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(6+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(6−''i'')}}
|-
|298
|{{math|3+17''i''}} <br/>{{math|17+3''i''}}
|{{math|(1+''i'')&middot;(10+7''i'')}} <br/>{{math|(1+''i'')&middot;(10−7''i'')}}
|-
|305
|{{math|4+17''i''}} <br/>{{math|7+16''i''}} <br/>{{math|16+7''i''}} <br/>{{math|17+4''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(6−5''i'')}} <br/>{{math|(2+''i'')&middot;(6+5''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(6−5''i'')}} <br/>{{math|(2−''i'')&middot;(6+5''i'')}}
|-
|306
|{{math|9+15''i''}} <br/>{{math|15+9''i''}}
|{{math|(1+''i'')&middot;3&middot;(4+''i'')}} <br/>{{math|(1+''i'')&middot;3&middot;(4−''i'')}}
|-
|313
|{{math|12+13''i''}} <br/>{{math|13+12''i''}}
|(п) <br/>(п)
|-
|314
|{{math|5+17''i''}} <br/>{{math|17+5''i''}}
|{{math|(1+''i'')&middot;(11+6''i'')}} <br/>{{math|(1+''i'')&middot;(11−6''i'')}}
|-
|317
|{{math|11+14''i''}} <br/>{{math|14+11''i''}}
|(п) <br/>(п)
|-
|320
|{{math|8+16''i''}} <br/>{{math|16+8''i''}}
|{{math|−(1+''i'')<sup>6</sup>&middot;(2−''i'')}} <br/>{{math|''i''&middot;(1+''i'')<sup>6</sup>&middot;(2+''i'')}}
|-
|324
|{{math|18}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;3<sup>2</sup>}}
|-
|325
|{{math|1+18''i''}} <br/>{{math|6+17''i''}} <br/>{{math|10+15''i''}} <br/>{{math|15+10''i''}} <br/>{{math|17+6''i''}} <br/>{{math|18+''i''}}
|{{math|(2+''i'')<sup>2</sup>&middot;(3+2''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;(3+2''i'')}} <br/>{{math|''i''&middot;(2+''i'')&middot;(2−''i'')&middot;(3−2''i'')}} <br/>{{math|(2+''i'')&middot;(2−''i'')&middot;(3+2''i'')}} <br/>{{math|(2+''i'')<sup>2</sup>&middot;(3−2''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;(3−2''i'')}}
|-
|328
|{{math|2+18''i''}} <br/>{{math|18+2''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(5+4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(5−4''i'')}}
|-
|333
|{{math|3+18''i''}} <br/>{{math|18+3''i''}}
|{{math|''i''&middot;3&middot;(6−''i'')}} <br/>{{math|3&middot;(6+''i'')}}
|-
|337
|{{math|9+16''i''}} <br/>{{math|16+9''i''}}
|(п) <br/>(п)
|-
|338
|{{math|7+17''i''}} <br/>{{math|13+13''i''}} <br/>{{math|17+7''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(3−2''i'')<sup>2</sup>}} <br/>{{math|(1+''i'')&middot;(3+2''i'')&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(3+2''i'')<sup>2</sup>}}
|-
|340
|{{math|4+18''i''}} <br/>{{math|12+14''i''}} <br/>{{math|14+12''i''}} <br/>{{math|18+4''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(4+''i'')}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(4−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(4+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(4−''i'')}}
|-
|346
|{{math|11+15''i''}} <br/>{{math|15+11''i''}}
|{{math|(1+''i'')&middot;(13+2''i'')}} <br/>{{math|(1+''i'')&middot;(13−2''i'')}}
|-
|349
|{{math|5+18''i''}} <br/>{{math|18+5''i''}}
|(п) <br/>(п)
|-
|353
|{{math|8+17''i''}} <br/>{{math|17+8''i''}}
|(п) <br/>(п)
|-
|356
|{{math|10+16''i''}} <br/>{{math|16+10''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(8−5''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(8+5''i'')}}
|-
|360
|{{math|6+18''i''}} <br/>{{math|18+6''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2+''i'')&middot;3}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2−''i'')&middot;3}}
|-
|361
|{{math|19}}
|(п)
|-
|362
|{{math|1+19''i''}} <br/>{{math|19+''i''}}
|{{math|(1+''i'')&middot;(10+9''i'')}} <br/>{{math|(1+''i'')&middot;(10−9''i'')}}
|-
|365
|{{math|2+19''i''}} <br/>{{math|13+14''i''}} <br/>{{math|14+13''i''}} <br/>{{math|19+2''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(8+3''i'')}} <br/>{{math|(2+''i'')&middot;(8+3''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(8−3''i'')}} <br/>{{math|(2+''i'')&middot;(8−3''i'')}}
|-
|369
|{{math|12+15''i''}} <br/>{{math|15+12''i''}}
|{{math|''i''&middot;3&middot;(5−4''i'')}} <br/>{{math|3&middot;(5+4''i'')}}
|-
|370
|{{math|3+19''i''}} <br/>{{math|9+17''i''}} <br/>{{math|17+9''i''}} <br/>{{math|19+3''i''}}
|{{math|(1+''i'')&middot;(2+''i'')&middot;(6+''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(6−''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(6+''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(6−''i'')}}
|-
|373
|{{math|7+18''i''}} <br/>{{math|18+7''i''}}
|(п) <br/>(п)
|-
|377
|{{math|4+19''i''}} <br/>{{math|11+16''i''}} <br/>{{math|16+11''i''}} <br/>{{math|19+4''i''}}
|{{math|''i''&middot;(3−2''i'')&middot;(5+2''i'')}} <br/>{{math|(3+2''i'')&middot;(5+2''i'')}} <br/>{{math|''i''&middot;(3−2''i'')&middot;(5−2''i'')}} <br/>{{math|(3+2''i'')&middot;(5−2''i'')}}
|-
|386
|{{math|5+19''i''}} <br/>{{math|19+5''i''}}
|{{math|(1+''i'')&middot;(12+7''i'')}} <br/>{{math|(1+''i'')&middot;(12−7''i'')}}
|-
|388
|{{math|8+18''i''}} <br/>{{math|18+8''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(9−4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(9+4''i'')}}
|-
|389
|{{math|10+17''i''}} <br/>{{math|17+10''i''}}
|(п) <br/>(п)
|-
|392
|{{math|14+14''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;7}}
|-
|394
|{{math|13+15''i''}} <br/>{{math|15+13''i''}}
|{{math|(1+''i'')&middot;(14+''i'')}} <br/>{{math|(1+''i'')&middot;(14−''i'')}}
|-
|397
|{{math|6+19''i''}} <br/>{{math|19+6''i''}}
|(п) <br/>(п)
|-
|400
|{{math|12+16''i''}} <br/>{{math|16+12''i''}} <br/>{{math|20}}
|{{math|−(1+''i'')<sup>4</sup>&middot;(2+''i'')<sup>2</sup>}} <br/>{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(2−''i'')<sup>2</sup>}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(2+''i'')&middot;(2−''i'')}}
|-
|401
|{{math|1+20''i''}} <br/>{{math|20+''i''}}
|(п) <br/>(п)
|-
|404
|{{math|2+20''i''}} <br/>{{math|20+2''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(10−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(10+''i'')}}
|-
|405
|{{math|9+18''i''}} <br/>{{math|18+9''i''}}
|{{math|''i''&middot;(2−''i'')&middot;3<sup>2</sup>}} <br/>{{math|(2+''i'')&middot;3<sup>2</sup>}}
|-
|409
|{{math|3+20''i''}} <br/>{{math|20+3''i''}}
|(п) <br/>(п)
|-
|410
|{{math|7+19''i''}} <br/>{{math|11+17''i''}} <br/>{{math|17+11''i''}} <br/>{{math|19+7''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')&middot;(5−4''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(5+4''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(5−4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')&middot;(5+4''i'')}}
|-
|416
|{{math|4+20''i''}} <br/>{{math|20+4''i''}}
|{{math|−(1+''i'')<sup>5</sup>&middot;(3+2''i'')}} <br/>{{math|−(1+''i'')<sup>5</sup>&middot;(3−2''i'')}}
|-
|421
|{{math|14+15''i''}} <br/>{{math|15+14''i''}}
|(п) <br/>(п)
|-
|424
|{{math|10+18''i''}} <br/>{{math|18+10''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(7+2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(7−2''i'')}}
|-
|425
|{{math|5+20''i''}} <br/>{{math|8+19''i''}} <br/>{{math|13+16''i''}} <br/>{{math|16+13''i''}} <br/>{{math|19+8''i''}} <br/>{{math|20+5''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(2−''i'')&middot;(4−''i'')}} <br/>{{math|(2+''i'')<sup>2</sup>&middot;(4+''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;(4+''i'')}} <br/>{{math|(2+''i'')<sup>2</sup>&middot;(4−''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;(4−''i'')}} <br/>{{math|(2+''i'')&middot;(2−''i'')&middot;(4+''i'')}}
|-
|433
|{{math|12+17''i''}} <br/>{{math|17+12''i''}}
|(п) <br/>(п)
|-
|436
|{{math|6+20''i''}} <br/>{{math|20+6''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(10−3''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(10+3''i'')}}
|-
|441
|{{math|21}}
|{{math|3&middot;7}}
|-
|442
|{{math|1+21''i''}} <br/>{{math|9+19''i''}} <br/>{{math|19+9''i''}} <br/>{{math|21+''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(3−2''i'')&middot;(4−''i'')}} <br/>{{math|(1+''i'')&middot;(3+2''i'')&middot;(4−''i'')}} <br/>{{math|(1+''i'')&middot;(3−2''i'')&middot;(4+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(3+2''i'')&middot;(4+''i'')}}
|-
|445
|{{math|2+21''i''}} <br/>{{math|11+18''i''}} <br/>{{math|18+11''i''}} <br/>{{math|21+2''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(8−5''i'')}} <br/>{{math|(2+''i'')&middot;(8+5''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(8−5''i'')}} <br/>{{math|(2−''i'')&middot;(8+5''i'')}}
|-
|449
|{{math|7+20''i''}} <br/>{{math|20+7''i''}}
|(п) <br/>(п)
|-
|450
|{{math|3+21''i''}} <br/>{{math|15+15''i''}} <br/>{{math|21+3''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')<sup>2</sup>&middot;3}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(2−''i'')&middot;3}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')<sup>2</sup>&middot;3}}
|-
|452
|{{math|14+16''i''}} <br/>{{math|16+14''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(8−7''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(8+7''i'')}}
|-
|457
|{{math|4+21''i''}} <br/>{{math|21+4''i''}}
|(п) <br/>(п)
|-
|458
|{{math|13+17''i''}} <br/>{{math|17+13''i''}}
|{{math|(1+''i'')&middot;(15+2''i'')}} <br/>{{math|(1+''i'')&middot;(15−2''i'')}}
|-
|461
|{{math|10+19''i''}} <br/>{{math|19+10''i''}}
|(п) <br/>(п)
|-
|464
|{{math|8+20''i''}} <br/>{{math|20+8''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(5−2''i'')}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(5+2''i'')}}
|-
|466
|{{math|5+21''i''}} <br/>{{math|21+5''i''}}
|{{math|(1+''i'')&middot;(13+8''i'')}} <br/>{{math|(1+''i'')&middot;(13−8''i'')}}
|-
|468
|{{math|12+18''i''}} <br/>{{math|18+12''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;3&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;3&middot;(3+2''i'')}}
|-
|477
|{{math|6+21''i''}} <br/>{{math|21+6''i''}}
|{{math|''i''&middot;3&middot;(7−2''i'')}} <br/>{{math|3&middot;(7+2''i'')}}
|-
|481
|{{math|9+20''i''}} <br/>{{math|15+16''i''}} <br/>{{math|16+15''i''}} <br/>{{math|20+9''i''}}
|{{math|''i''&middot;(3−2''i'')&middot;(6+''i'')}} <br/>{{math|''i''&middot;(3−2''i'')&middot;(6−''i'')}} <br/>{{math|(3+2''i'')&middot;(6+''i'')}} <br/>{{math|(3+2''i'')&middot;(6−''i'')}}
|-
|482
|{{math|11+19''i''}} <br/>{{math|19+11''i''}}
|{{math|(1+''i'')&middot;(15+4''i'')}} <br/>{{math|(1+''i'')&middot;(15−4''i'')}}
|-
|484
|{{math|22}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;11}}
|-
|485
|{{math|1+22''i''}} <br/>{{math|14+17''i''}} <br/>{{math|17+14''i''}} <br/>{{math|22+''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(9+4''i'')}} <br/>{{math|(2+''i'')&middot;(9+4''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(9−4''i'')}} <br/>{{math|(2+''i'')&middot;(9−4''i'')}}
|-
|488
|{{math|2+22''i''}} <br/>{{math|22+2''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(6+5''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(6−5''i'')}}
|-
|490
|{{math|7+21''i''}} <br/>{{math|21+7''i''}}
|{{math|(1+''i'')&middot;(2+''i'')&middot;7}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;7}}
|-
|493
|{{math|3+22''i''}} <br/>{{math|13+18''i''}} <br/>{{math|18+13''i''}} <br/>{{math|22+3''i''}}
|{{math|''i''&middot;(4+''i'')&middot;(5−2''i'')}} <br/>{{math|''i''&middot;(4−''i'')&middot;(5−2''i'')}} <br/>{{math|(4+''i'')&middot;(5+2''i'')}} <br/>{{math|(4−''i'')&middot;(5+2''i'')}}
|-
|500
|{{math|4+22''i''}} <br/>{{math|10+20''i''}} <br/>{{math|20+10''i''}} <br/>{{math|22+4''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')<sup>3</sup>}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(2−''i'')<sup>2</sup>}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')<sup>2</sup>&middot;(2−''i'')}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')<sup>3</sup>}}
|}
{| class="wikitable sortable" style="float:left; margin-right:1em"
!Норма
!Число
!Розклад
|-
|505
|{{math|8+21''i''}} <br/>{{math|12+19''i''}} <br/>{{math|19+12''i''}} <br/>{{math|21+8''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(10+''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(10−''i'')}} <br/>{{math|(2+''i'')&middot;(10+''i'')}} <br/>{{math|(2+''i'')&middot;(10−''i'')}}
|-
|509
|{{math|5+22''i''}} <br/>{{math|22+5''i''}}
|(п) <br/>(п)
|-
|512
|{{math|16+16''i''}}
|{{math|(1+''i'')<sup>9</sup>}}
|-
|514
|{{math|15+17''i''}} <br/>{{math|17+15''i''}}
|{{math|(1+''i'')&middot;(16+''i'')}} <br/>{{math|(1+''i'')&middot;(16−''i'')}}
|-
|520
|{{math|6+22''i''}} <br/>{{math|14+18''i''}} <br/>{{math|18+14''i''}} <br/>{{math|22+6''i''}}
|{{math|(1+''i'')<sup>3</sup>&middot;(2−''i'')&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2−''i'')&middot;(3+2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2+''i'')&middot;(3−2''i'')}} <br/>{{math|−(1+''i'')<sup>3</sup>&middot;(2+''i'')&middot;(3+2''i'')}}
|-
|521
|{{math|11+20''i''}} <br/>{{math|20+11''i''}}
|(п) <br/>(п)
|-
|522
|{{math|9+21''i''}} <br/>{{math|21+9''i''}}
|{{math|(1+''i'')&middot;3&middot;(5+2''i'')}} <br/>{{math|(1+''i'')&middot;3&middot;(5−2''i'')}}
|-
|529
|{{math|23}}
|(п)
|-
|530
|{{math|1+23''i''}} <br/>{{math|13+19''i''}} <br/>{{math|19+13''i''}} <br/>{{math|23+''i''}}
|{{math|(1+''i'')&middot;(2+''i'')&middot;(7+2''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(7−2''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(7+2''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(7−2''i'')}}
|-
|533
|{{math|2+23''i''}} <br/>{{math|7+22''i''}} <br/>{{math|22+7''i''}} <br/>{{math|23+2''i''}}
|{{math|''i''&middot;(3+2''i'')&middot;(5−4''i'')}} <br/>{{math|(3+2''i'')&middot;(5+4''i'')}} <br/>{{math|''i''&middot;(3−2''i'')&middot;(5−4''i'')}} <br/>{{math|(3−2''i'')&middot;(5+4''i'')}}
|-
|538
|{{math|3+23''i''}} <br/>{{math|23+3''i''}}
|{{math|(1+''i'')&middot;(13+10''i'')}} <br/>{{math|(1+''i'')&middot;(13−10''i'')}}
|-
|541
|{{math|10+21''i''}} <br/>{{math|21+10''i''}}
|(п) <br/>(п)
|-
|544
|{{math|12+20''i''}} <br/>{{math|20+12''i''}}
|{{math|−(1+''i'')<sup>5</sup>&middot;(4+''i'')}} <br/>{{math|−(1+''i'')<sup>5</sup>&middot;(4−''i'')}}
|-
|545
|{{math|4+23''i''}} <br/>{{math|16+17''i''}} <br/>{{math|17+16''i''}} <br/>{{math|23+4''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(10+3''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(10−3''i'')}} <br/>{{math|(2+''i'')&middot;(10+3''i'')}} <br/>{{math|(2+''i'')&middot;(10−3''i'')}}
|-
|548
|{{math|8+22''i''}} <br/>{{math|22+8''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(11−4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(11+4''i'')}}
|-
|549
|{{math|15+18''i''}} <br/>{{math|18+15''i''}}
|{{math|''i''&middot;3&middot;(6−5''i'')}} <br/>{{math|3&middot;(6+5''i'')}}
|-
|554
|{{math|5+23''i''}} <br/>{{math|23+5''i''}}
|{{math|(1+''i'')&middot;(14+9''i'')}} <br/>{{math|(1+''i'')&middot;(14−9''i'')}}
|-
|557
|{{math|14+19''i''}} <br/>{{math|19+14''i''}}
|(п) <br/>(п)
|-
|562
|{{math|11+21''i''}} <br/>{{math|21+11''i''}}
|{{math|(1+''i'')&middot;(16+5''i'')}} <br/>{{math|(1+''i'')&middot;(16−5''i'')}}
|-
|565
|{{math|6+23''i''}} <br/>{{math|9+22''i''}} <br/>{{math|22+9''i''}} <br/>{{math|23+6''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(8−7''i'')}} <br/>{{math|(2+''i'')&middot;(8+7''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(8−7''i'')}} <br/>{{math|(2−''i'')&middot;(8+7''i'')}}
|-
|569
|{{math|13+20''i''}} <br/>{{math|20+13''i''}}
|(п) <br/>(п)
|-
|576
|{{math|24}}
|{{math|''i''&middot;(1+''i'')<sup>6</sup>&middot;3}}
|-
|577
|{{math|1+24''i''}} <br/>{{math|24+''i''}}
|(п) <br/>(п)
|-
|578
|{{math|7+23''i''}} <br/>{{math|17+17''i''}} <br/>{{math|23+7''i''}}
|{{math|(1+''i'')&middot;(4+''i'')<sup>2</sup>}} <br/>{{math|(1+''i'')&middot;(4+''i'')&middot;(4−''i'')}} <br/>{{math|(1+''i'')&middot;(4−''i'')<sup>2</sup>}}
|-
|580
|{{math|2+24''i''}} <br/>{{math|16+18''i''}} <br/>{{math|18+16''i''}} <br/>{{math|24+2''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(5+2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(5+2''i'')}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(5−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(5−2''i'')}}
|-
|584
|{{math|10+22''i''}} <br/>{{math|22+10''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(8+3''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(8−3''i'')}}
|-
|585
|{{math|3+24''i''}} <br/>{{math|12+21''i''}} <br/>{{math|21+12''i''}} <br/>{{math|24+3''i''}}
|{{math|''i''&middot;(2+''i'')&middot;3&middot;(3−2''i'')}} <br/>{{math|(2+''i'')&middot;3&middot;(3+2''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;3&middot;(3−2''i'')}} <br/>{{math|(2−''i'')&middot;3&middot;(3+2''i'')}}
|-
|586
|{{math|15+19''i''}} <br/>{{math|19+15''i''}}
|{{math|(1+''i'')&middot;(17+2''i'')}} <br/>{{math|(1+''i'')&middot;(17−2''i'')}}
|-
|592
|{{math|4+24''i''}} <br/>{{math|24+4''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(6−''i'')}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(6+''i'')}}
|-
|593
|{{math|8+23''i''}} <br/>{{math|23+8''i''}}
|(п) <br/>(п)
|-
|596
|{{math|14+20''i''}} <br/>{{math|20+14''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(10−7''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(10+7''i'')}}
|-
|601
|{{math|5+24''i''}} <br/>{{math|24+5''i''}}
|(п) <br/>(п)
|-
|605
|{{math|11+22''i''}} <br/>{{math|22+11''i''}}
|{{math|''i''&middot;(2−''i'')&middot;11}} <br/>{{math|(2+''i'')&middot;11}}
|-
|610
|{{math|9+23''i''}} <br/>{{math|13+21''i''}} <br/>{{math|21+13''i''}} <br/>{{math|23+9''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')&middot;(6−5''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(6+5''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(6−5''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')&middot;(6+5''i'')}}
|-
|612
|{{math|6+24''i''}} <br/>{{math|24+6''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;3&middot;(4−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;3&middot;(4+''i'')}}
|-
|613
|{{math|17+18''i''}} <br/>{{math|18+17''i''}}
|(п) <br/>(п)
|-
|617
|{{math|16+19''i''}} <br/>{{math|19+16''i''}}
|(п) <br/>(п)
|-
|625
|{{math|7+24''i''}} <br/>{{math|15+20''i''}} <br/>{{math|20+15''i''}} <br/>{{math|24+7''i''}} <br/>{{math|25}}
|{{math|−(2−''i'')<sup>4</sup>}} <br/>{{math|(2+''i'')<sup>3</sup>&middot;(2−''i'')}} <br/>{{math|''i''&middot;(2+''i'')&middot;(2−''i'')<sup>3</sup>}} <br/>{{math|−''i''&middot;(2+''i'')<sup>4</sup>}} <br/>{{math|(2+''i'')<sup>2</sup>&middot;(2−''i'')<sup>2</sup>}}
|-
|626
|{{math|1+25''i''}} <br/>{{math|25+''i''}}
|{{math|(1+''i'')&middot;(13+12''i'')}} <br/>{{math|(1+''i'')&middot;(13−12''i'')}}
|-
|628
|{{math|12+22''i''}} <br/>{{math|22+12''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(11−6''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(11+6''i'')}}
|-
|629
|{{math|2+25''i''}} <br/>{{math|10+23''i''}} <br/>{{math|23+10''i''}} <br/>{{math|25+2''i''}}
|{{math|''i''&middot;(4−''i'')&middot;(6+''i'')}} <br/>{{math|''i''&middot;(4−''i'')&middot;(6−''i'')}} <br/>{{math|(4+''i'')&middot;(6+''i'')}} <br/>{{math|(4+''i'')&middot;(6−''i'')}}
|-
|634
|{{math|3+25''i''}} <br/>{{math|25+3''i''}}
|{{math|(1+''i'')&middot;(14+11''i'')}} <br/>{{math|(1+''i'')&middot;(14−11''i'')}}
|-
|637
|{{math|14+21''i''}} <br/>{{math|21+14''i''}}
|{{math|''i''&middot;(3−2''i'')&middot;7}} <br/>{{math|(3+2''i'')&middot;7}}
|-
|640
|{{math|8+24''i''}} <br/>{{math|24+8''i''}}
|{{math|''i''&middot;(1+''i'')<sup>7</sup>&middot;(2+''i'')}} <br/>{{math|''i''&middot;(1+''i'')<sup>7</sup>&middot;(2−''i'')}}
|-
|641
|{{math|4+25''i''}} <br/>{{math|25+4''i''}}
|(п) <br/>(п)
|-
|648
|{{math|18+18''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;3<sup>2</sup>}}
|-
|650
|{{math|5+25''i''}} <br/>{{math|11+23''i''}} <br/>{{math|17+19''i''}} <br/>{{math|19+17''i''}} <br/>{{math|23+11''i''}} <br/>{{math|25+5''i''}}
|{{math|(1+''i'')&middot;(2+''i'')&middot;(2−''i'')&middot;(3+2''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')<sup>2</sup>&middot;(3−2''i'')}} <br/>{{math|''i''&middot;(1+''i'')&middot;(2−''i'')<sup>2</sup>&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')<sup>2</sup>&middot;(3+2''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')<sup>2</sup>&middot;(3+2''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(2−''i'')&middot;(3−2''i'')}}
|-
|653
|{{math|13+22''i''}} <br/>{{math|22+13''i''}}
|(п) <br/>(п)
|-
|656
|{{math|16+20''i''}} <br/>{{math|20+16''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(5−4''i'')}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(5+4''i'')}}
|-
|657
|{{math|9+24''i''}} <br/>{{math|24+9''i''}}
|{{math|''i''&middot;3&middot;(8−3''i'')}} <br/>{{math|3&middot;(8+3''i'')}}
|-
|661
|{{math|6+25''i''}} <br/>{{math|25+6''i''}}
|(п) <br/>(п)
|-
|666
|{{math|15+21''i''}} <br/>{{math|21+15''i''}}
|{{math|(1+''i'')&middot;3&middot;(6+''i'')}} <br/>{{math|(1+''i'')&middot;3&middot;(6−''i'')}}
|-
|673
|{{math|12+23''i''}} <br/>{{math|23+12''i''}}
|(п) <br/>(п)
|-
|674
|{{math|7+25''i''}} <br/>{{math|25+7''i''}}
|{{math|(1+''i'')&middot;(16+9''i'')}} <br/>{{math|(1+''i'')&middot;(16−9''i'')}}
|-
|676
|{{math|10+24''i''}} <br/>{{math|24+10''i''}} <br/>{{math|26}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(3+2''i'')<sup>2</sup>}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(3−2''i'')<sup>2</sup>}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(3+2''i'')&middot;(3−2''i'')}}
|-
|677
|{{math|1+26''i''}} <br/>{{math|26+''i''}}
|(п) <br/>(п)
|-
|680
|{{math|2+26''i''}} <br/>{{math|14+22''i''}} <br/>{{math|22+14''i''}} <br/>{{math|26+2''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2+''i'')&middot;(4+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2+''i'')&middot;(4−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2−''i'')&middot;(4+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2−''i'')&middot;(4−''i'')}}
|-
|685
|{{math|3+26''i''}} <br/>{{math|18+19''i''}} <br/>{{math|19+18''i''}} <br/>{{math|26+3''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(11+4''i'')}} <br/>{{math|(2+''i'')&middot;(11+4''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(11−4''i'')}} <br/>{{math|(2+''i'')&middot;(11−4''i'')}}
|-
|689
|{{math|8+25''i''}} <br/>{{math|17+20''i''}} <br/>{{math|20+17''i''}} <br/>{{math|25+8''i''}}
|{{math|''i''&middot;(3−2''i'')&middot;(7+2''i'')}} <br/>{{math|(3+2''i'')&middot;(7+2''i'')}} <br/>{{math|''i''&middot;(3−2''i'')&middot;(7−2''i'')}} <br/>{{math|(3+2''i'')&middot;(7−2''i'')}}
|-
|692
|{{math|4+26''i''}} <br/>{{math|26+4''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(13−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(13+2''i'')}}
|-
|697
|{{math|11+24''i''}} <br/>{{math|16+21''i''}} <br/>{{math|21+16''i''}} <br/>{{math|24+11''i''}}
|{{math|''i''&middot;(4+''i'')&middot;(5−4''i'')}} <br/>{{math|(4+''i'')&middot;(5+4''i'')}} <br/>{{math|''i''&middot;(4−''i'')&middot;(5−4''i'')}} <br/>{{math|(4−''i'')&middot;(5+4''i'')}}
|-
|698
|{{math|13+23''i''}} <br/>{{math|23+13''i''}}
|{{math|(1+''i'')&middot;(18+5''i'')}} <br/>{{math|(1+''i'')&middot;(18−5''i'')}}
|-
|701
|{{math|5+26''i''}} <br/>{{math|26+5''i''}}
|(п) <br/>(п)
|-
|706
|{{math|9+25''i''}} <br/>{{math|25+9''i''}}
|{{math|(1+''i'')&middot;(17+8''i'')}} <br/>{{math|(1+''i'')&middot;(17−8''i'')}}
|-
|709
|{{math|15+22''i''}} <br/>{{math|22+15''i''}}
|(п) <br/>(п)
|-
|712
|{{math|6+26''i''}} <br/>{{math|26+6''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(8+5''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(8−5''i'')}}
|-
|720
|{{math|12+24''i''}} <br/>{{math|24+12''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(2−''i'')&middot;3}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(2+''i'')&middot;3}}
|-
|722
|{{math|19+19''i''}}
|{{math|(1+''i'')&middot;19}}
|-
|724
|{{math|18+20''i''}} <br/>{{math|20+18''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(10−9''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(10+9''i'')}}
|-
|725
|{{math|7+26''i''}} <br/>{{math|10+25''i''}} <br/>{{math|14+23''i''}} <br/>{{math|23+14''i''}} <br/>{{math|25+10''i''}} <br/>{{math|26+7''i''}}
|{{math|(2+''i'')<sup>2</sup>&middot;(5+2''i'')}} <br/>{{math|''i''&middot;(2+''i'')&middot;(2−''i'')&middot;(5−2''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;(5+2''i'')}} <br/>{{math|(2+''i'')<sup>2</sup>&middot;(5−2''i'')}} <br/>{{math|(2+''i'')&middot;(2−''i'')&middot;(5+2''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;(5−2''i'')}}
|-
|729
|{{math|27}}
|{{math|3<sup>3</sup>}}
|-
|730
|{{math|1+27''i''}} <br/>{{math|17+21''i''}} <br/>{{math|21+17''i''}} <br/>{{math|27+''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')&middot;(8−3''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(8−3''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(8+3''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')&middot;(8+3''i'')}}
|-
|733
|{{math|2+27''i''}} <br/>{{math|27+2''i''}}
|(п) <br/>(п)
|-
|738
|{{math|3+27''i''}} <br/>{{math|27+3''i''}}
|{{math|(1+''i'')&middot;3&middot;(5+4''i'')}} <br/>{{math|(1+''i'')&middot;3&middot;(5−4''i'')}}
|-
|740
|{{math|8+26''i''}} <br/>{{math|16+22''i''}} <br/>{{math|22+16''i''}} <br/>{{math|26+8''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(6+''i'')}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(6−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(6+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(6−''i'')}}
|-
|745
|{{math|4+27''i''}} <br/>{{math|13+24''i''}} <br/>{{math|24+13''i''}} <br/>{{math|27+4''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(10−7''i'')}} <br/>{{math|(2+''i'')&middot;(10+7''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(10−7''i'')}} <br/>{{math|(2−''i'')&middot;(10+7''i'')}}
|-
|746
|{{math|11+25''i''}} <br/>{{math|25+11''i''}}
|{{math|(1+''i'')&middot;(18+7''i'')}} <br/>{{math|(1+''i'')&middot;(18−7''i'')}}
|}
{| class="wikitable sortable" style="float:left; margin-right:1em"
!Норма
!Число
!Розклад
|-
|754
|{{math|5+27''i''}} <br/>{{math|15+23''i''}} <br/>{{math|23+15''i''}} <br/>{{math|27+5''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(3−2''i'')&middot;(5−2''i'')}} <br/>{{math|(1+''i'')&middot;(3+2''i'')&middot;(5−2''i'')}} <br/>{{math|(1+''i'')&middot;(3−2''i'')&middot;(5+2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(3+2''i'')&middot;(5+2''i'')}}
|-
|757
|{{math|9+26''i''}} <br/>{{math|26+9''i''}}
|(п) <br/>(п)
|-
|761
|{{math|19+20''i''}} <br/>{{math|20+19''i''}}
|(п) <br/>(п)
|-
|765
|{{math|6+27''i''}} <br/>{{math|18+21''i''}} <br/>{{math|21+18''i''}} <br/>{{math|27+6''i''}}
|{{math|''i''&middot;(2−''i'')&middot;3&middot;(4+''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;3&middot;(4−''i'')}} <br/>{{math|(2+''i'')&middot;3&middot;(4+''i'')}} <br/>{{math|(2+''i'')&middot;3&middot;(4−''i'')}}
|-
|769
|{{math|12+25''i''}} <br/>{{math|25+12''i''}}
|(п) <br/>(п)
|-
|772
|{{math|14+24''i''}} <br/>{{math|24+14''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(12−7''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(12+7''i'')}}
|-
|773
|{{math|17+22''i''}} <br/>{{math|22+17''i''}}
|(п) <br/>(п)
|-
|776
|{{math|10+26''i''}} <br/>{{math|26+10''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(9+4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(9−4''i'')}}
|-
|778
|{{math|7+27''i''}} <br/>{{math|27+7''i''}}
|{{math|(1+''i'')&middot;(17+10''i'')}} <br/>{{math|(1+''i'')&middot;(17−10''i'')}}
|-
|784
|{{math|28}}
|{{math|−(1+''i'')<sup>4</sup>&middot;7}}
|-
|785
|{{math|1+28''i''}} <br/>{{math|16+23''i''}} <br/>{{math|23+16''i''}} <br/>{{math|28+''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(11−6''i'')}} <br/>{{math|(2+''i'')&middot;(11+6''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(11−6''i'')}} <br/>{{math|(2−''i'')&middot;(11+6''i'')}}
|-
|788
|{{math|2+28''i''}} <br/>{{math|28+2''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(14−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(14+''i'')}}
|-
|793
|{{math|3+28''i''}} <br/>{{math|8+27''i''}} <br/>{{math|27+8''i''}} <br/>{{math|28+3''i''}}
|{{math|''i''&middot;(3+2''i'')&middot;(6−5''i'')}} <br/>{{math|(3+2''i'')&middot;(6+5''i'')}} <br/>{{math|''i''&middot;(3−2''i'')&middot;(6−5''i'')}} <br/>{{math|(3−2''i'')&middot;(6+5''i'')}}
|-
|794
|{{math|13+25''i''}} <br/>{{math|25+13''i''}}
|{{math|(1+''i'')&middot;(19+6''i'')}} <br/>{{math|(1+''i'')&middot;(19−6''i'')}}
|-
|797
|{{math|11+26''i''}} <br/>{{math|26+11''i''}}
|(п) <br/>(п)
|-
|800
|{{math|4+28''i''}} <br/>{{math|20+20''i''}} <br/>{{math|28+4''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>5</sup>&middot;(2−''i'')<sup>2</sup>}} <br/>{{math|−(1+''i'')<sup>5</sup>&middot;(2+''i'')&middot;(2−''i'')}} <br/>{{math|''i''&middot;(1+''i'')<sup>5</sup>&middot;(2+''i'')<sup>2</sup>}}
|-
|801
|{{math|15+24''i''}} <br/>{{math|24+15''i''}}
|{{math|''i''&middot;3&middot;(8−5''i'')}} <br/>{{math|3&middot;(8+5''i'')}}
|-
|802
|{{math|19+21''i''}} <br/>{{math|21+19''i''}}
|{{math|(1+''i'')&middot;(20+''i'')}} <br/>{{math|(1+''i'')&middot;(20−''i'')}}
|-
|808
|{{math|18+22''i''}} <br/>{{math|22+18''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(10+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(10−''i'')}}
|-
|809
|{{math|5+28''i''}} <br/>{{math|28+5''i''}}
|(п) <br/>(п)
|-
|810
|{{math|9+27''i''}} <br/>{{math|27+9''i''}}
|{{math|(1+''i'')&middot;(2+''i'')&middot;3<sup>2</sup>}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;3<sup>2</sup>}}
|-
|818
|{{math|17+23''i''}} <br/>{{math|23+17''i''}}
|{{math|(1+''i'')&middot;(20+3''i'')}} <br/>{{math|(1+''i'')&middot;(20−3''i'')}}
|-
|820
|{{math|6+28''i''}} <br/>{{math|12+26''i''}} <br/>{{math|26+12''i''}} <br/>{{math|28+6''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(5−4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(5+4''i'')}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(5−4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;(5+4''i'')}}
|-
|821
|{{math|14+25''i''}} <br/>{{math|25+14''i''}}
|(п) <br/>(п)
|-
|829
|{{math|10+27''i''}} <br/>{{math|27+10''i''}}
|(п) <br/>(п)
|-
|832
|{{math|16+24''i''}} <br/>{{math|24+16''i''}}
|{{math|−(1+''i'')<sup>6</sup>&middot;(3−2''i'')}} <br/>{{math|''i''&middot;(1+''i'')<sup>6</sup>&middot;(3+2''i'')}}
|-
|833
|{{math|7+28''i''}} <br/>{{math|28+7''i''}}
|{{math|''i''&middot;(4−''i'')&middot;7}} <br/>{{math|(4+''i'')&middot;7}}
|-
|841
|{{math|20+21''i''}} <br/>{{math|21+20''i''}} <br/>{{math|29}}
|{{math|''i''&middot;(5−2''i'')<sup>2</sup>}} <br/>{{math|(5+2''i'')<sup>2</sup>}} <br/>{{math|(5+2''i'')&middot;(5−2''i'')}}
|-
|842
|{{math|1+29''i''}} <br/>{{math|29+''i''}}
|{{math|(1+''i'')&middot;(15+14''i'')}} <br/>{{math|(1+''i'')&middot;(15−14''i'')}}
|-
|845
|{{math|2+29''i''}} <br/>{{math|13+26''i''}} <br/>{{math|19+22''i''}} <br/>{{math|22+19''i''}} <br/>{{math|26+13''i''}} <br/>{{math|29+2''i''}}
|{{math|−(2−''i'')&middot;(3−2''i'')<sup>2</sup>}} <br/>{{math|''i''&middot;(2−''i'')&middot;(3+2''i'')&middot;(3−2''i'')}} <br/>{{math|''i''&middot;(2+''i'')&middot;(3−2''i'')<sup>2</sup>}} <br/>{{math|(2−''i'')&middot;(3+2''i'')<sup>2</sup>}} <br/>{{math|(2+''i'')&middot;(3+2''i'')&middot;(3−2''i'')}} <br/>{{math|−''i''&middot;(2+''i'')&middot;(3+2''i'')<sup>2</sup>}}
|-
|848
|{{math|8+28''i''}} <br/>{{math|28+8''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(7−2''i'')}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(7+2''i'')}}
|-
|850
|{{math|3+29''i''}} <br/>{{math|11+27''i''}} <br/>{{math|15+25''i''}} <br/>{{math|25+15''i''}} <br/>{{math|27+11''i''}} <br/>{{math|29+3''i''}}
|{{math|(1+''i'')&middot;(2+''i'')<sup>2</sup>&middot;(4−''i'')}} <br/>{{math|''i''&middot;(1+''i'')&middot;(2−''i'')<sup>2</sup>&middot;(4−''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(2−''i'')&middot;(4+''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(2−''i'')&middot;(4−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')<sup>2</sup>&middot;(4+''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')<sup>2</sup>&middot;(4+''i'')}}
|-
|853
|{{math|18+23''i''}} <br/>{{math|23+18''i''}}
|(п) <br/>(п)
|-
|857
|{{math|4+29''i''}} <br/>{{math|29+4''i''}}
|(п) <br/>(п)
|-
|865
|{{math|9+28''i''}} <br/>{{math|17+24''i''}} <br/>{{math|24+17''i''}} <br/>{{math|28+9''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(13+2''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(13−2''i'')}} <br/>{{math|(2+''i'')&middot;(13+2''i'')}} <br/>{{math|(2+''i'')&middot;(13−2''i'')}}
|-
|866
|{{math|5+29''i''}} <br/>{{math|29+5''i''}}
|{{math|(1+''i'')&middot;(17+12''i'')}} <br/>{{math|(1+''i'')&middot;(17−12''i'')}}
|-
|872
|{{math|14+26''i''}} <br/>{{math|26+14''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(10+3''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(10−3''i'')}}
|-
|873
|{{math|12+27''i''}} <br/>{{math|27+12''i''}}
|{{math|''i''&middot;3&middot;(9−4''i'')}} <br/>{{math|3&middot;(9+4''i'')}}
|-
|877
|{{math|6+29''i''}} <br/>{{math|29+6''i''}}
|(п) <br/>(п)
|-
|881
|{{math|16+25''i''}} <br/>{{math|25+16''i''}}
|(п) <br/>(п)
|-
|882
|{{math|21+21''i''}}
|{{math|(1+''i'')&middot;3&middot;7}}
|-
|884
|{{math|10+28''i''}} <br/>{{math|20+22''i''}} <br/>{{math|22+20''i''}} <br/>{{math|28+10''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(3−2''i'')&middot;(4+''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(3+2''i'')&middot;(4+''i'')}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(3−2''i'')&middot;(4−''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(3+2''i'')&middot;(4−''i'')}}
|-
|890
|{{math|7+29''i''}} <br/>{{math|19+23''i''}} <br/>{{math|23+19''i''}} <br/>{{math|29+7''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')&middot;(8−5''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(8+5''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(8−5''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')&middot;(8+5''i'')}}
|-
|898
|{{math|13+27''i''}} <br/>{{math|27+13''i''}}
|{{math|(1+''i'')&middot;(20+7''i'')}} <br/>{{math|(1+''i'')&middot;(20−7''i'')}}
|-
|900
|{{math|18+24''i''}} <br/>{{math|24+18''i''}} <br/>{{math|30}}
|{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')<sup>2</sup>&middot;3}} <br/>{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')<sup>2</sup>&middot;3}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;(2−''i'')&middot;3}}
|-
|901
|{{math|1+30''i''}} <br/>{{math|15+26''i''}} <br/>{{math|26+15''i''}} <br/>{{math|30+''i''}}
|{{math|''i''&middot;(4+''i'')&middot;(7−2''i'')}} <br/>{{math|''i''&middot;(4−''i'')&middot;(7−2''i'')}} <br/>{{math|(4+''i'')&middot;(7+2''i'')}} <br/>{{math|(4−''i'')&middot;(7+2''i'')}}
|-
|904
|{{math|2+30''i''}} <br/>{{math|30+2''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(8+7''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(8−7''i'')}}
|-
|905
|{{math|8+29''i''}} <br/>{{math|11+28''i''}} <br/>{{math|28+11''i''}} <br/>{{math|29+8''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(10−9''i'')}} <br/>{{math|(2+''i'')&middot;(10+9''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(10−9''i'')}} <br/>{{math|(2−''i'')&middot;(10+9''i'')}}
|-
|909
|{{math|3+30''i''}} <br/>{{math|30+3''i''}}
|{{math|''i''&middot;3&middot;(10−''i'')}} <br/>{{math|3&middot;(10+''i'')}}
|-
|914
|{{math|17+25''i''}} <br/>{{math|25+17''i''}}
|{{math|(1+''i'')&middot;(21+4''i'')}} <br/>{{math|(1+''i'')&middot;(21−4''i'')}}
|-
|916
|{{math|4+30''i''}} <br/>{{math|30+4''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(15−2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(15+2''i'')}}
|-
|922
|{{math|9+29''i''}} <br/>{{math|29+9''i''}}
|{{math|(1+''i'')&middot;(19+10''i'')}} <br/>{{math|(1+''i'')&middot;(19−10''i'')}}
|-
|925
|{{math|5+30''i''}} <br/>{{math|14+27''i''}} <br/>{{math|21+22''i''}} <br/>{{math|22+21''i''}} <br/>{{math|27+14''i''}} <br/>{{math|30+5''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(2−''i'')&middot;(6−''i'')}} <br/>{{math|(2+''i'')<sup>2</sup>&middot;(6+''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;(6+''i'')}} <br/>{{math|(2+''i'')<sup>2</sup>&middot;(6−''i'')}} <br/>{{math|''i''&middot;(2−''i'')<sup>2</sup>&middot;(6−''i'')}} <br/>{{math|(2+''i'')&middot;(2−''i'')&middot;(6+''i'')}}
|-
|928
|{{math|12+28''i''}} <br/>{{math|28+12''i''}}
|{{math|−(1+''i'')<sup>5</sup>&middot;(5+2''i'')}} <br/>{{math|−(1+''i'')<sup>5</sup>&middot;(5−2''i'')}}
|-
|929
|{{math|20+23''i''}} <br/>{{math|23+20''i''}}
|(п) <br/>(п)
|-
|932
|{{math|16+26''i''}} <br/>{{math|26+16''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(13−8''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(13+8''i'')}}
|-
|936
|{{math|6+30''i''}} <br/>{{math|30+6''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;3&middot;(3+2''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;3&middot;(3−2''i'')}}
|-
|937
|{{math|19+24''i''}} <br/>{{math|24+19''i''}}
|(п) <br/>(п)
|-
|941
|{{math|10+29''i''}} <br/>{{math|29+10''i''}}
|(п) <br/>(п)
|-
|949
|{{math|7+30''i''}} <br/>{{math|18+25''i''}} <br/>{{math|25+18''i''}} <br/>{{math|30+7''i''}}
|{{math|''i''&middot;(3−2''i'')&middot;(8+3''i'')}} <br/>{{math|(3+2''i'')&middot;(8+3''i'')}} <br/>{{math|''i''&middot;(3−2''i'')&middot;(8−3''i'')}} <br/>{{math|(3+2''i'')&middot;(8−3''i'')}}
|-
|953
|{{math|13+28''i''}} <br/>{{math|28+13''i''}}
|(п) <br/>(п)
|-
|954
|{{math|15+27''i''}} <br/>{{math|27+15''i''}}
|{{math|(1+''i'')&middot;3&middot;(7+2''i'')}} <br/>{{math|(1+''i'')&middot;3&middot;(7−2''i'')}}
|-
|961
|{{math|31}}
|(п)
|-
|962
|{{math|1+31''i''}} <br/>{{math|11+29''i''}} <br/>{{math|29+11''i''}} <br/>{{math|31+''i''}}
|{{math|(1+''i'')&middot;(3+2''i'')&middot;(6+''i'')}} <br/>{{math|(1+''i'')&middot;(3+2''i'')&middot;(6−''i'')}} <br/>{{math|(1+''i'')&middot;(3−2''i'')&middot;(6+''i'')}} <br/>{{math|(1+''i'')&middot;(3−2''i'')&middot;(6−''i'')}}
|-
|964
|{{math|8+30''i''}} <br/>{{math|30+8''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(15−4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(15+4''i'')}}
|-
|965
|{{math|2+31''i''}} <br/>{{math|17+26''i''}} <br/>{{math|26+17''i''}} <br/>{{math|31+2''i''}}
|{{math|''i''&middot;(2+''i'')&middot;(12−7''i'')}} <br/>{{math|(2+''i'')&middot;(12+7''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(12−7''i'')}} <br/>{{math|(2−''i'')&middot;(12+7''i'')}}
|-
|968
|{{math|22+22''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;11}}
|-
|970
|{{math|3+31''i''}} <br/>{{math|21+23''i''}} <br/>{{math|23+21''i''}} <br/>{{math|31+3''i''}}
|{{math|''i''&middot;(1+''i'')&middot;(2−''i'')&middot;(9−4''i'')}} <br/>{{math|(1+''i'')&middot;(2+''i'')&middot;(9−4''i'')}} <br/>{{math|(1+''i'')&middot;(2−''i'')&middot;(9+4''i'')}} <br/>{{math|−''i''&middot;(1+''i'')&middot;(2+''i'')&middot;(9+4''i'')}}
|-
|976
|{{math|20+24''i''}} <br/>{{math|24+20''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>4</sup>&middot;(6−5''i'')}} <br/>{{math|−(1+''i'')<sup>4</sup>&middot;(6+5''i'')}}
|-
|977
|{{math|4+31''i''}} <br/>{{math|31+4''i''}}
|(п) <br/>(п)
|-
|980
|{{math|14+28''i''}} <br/>{{math|28+14''i''}}
|{{math|(1+''i'')<sup>2</sup>&middot;(2−''i'')&middot;7}} <br/>{{math|−''i''&middot;(1+''i'')<sup>2</sup>&middot;(2+''i'')&middot;7}}
|-
|981
|{{math|9+30''i''}} <br/>{{math|30+9''i''}}
|{{math|''i''&middot;3&middot;(10−3''i'')}} <br/>{{math|3&middot;(10+3''i'')}}
|-
|985
|{{math|12+29''i''}} <br/>{{math|16+27''i''}} <br/>{{math|27+16''i''}} <br/>{{math|29+12''i''}}
|{{math|''i''&middot;(2−''i'')&middot;(14+''i'')}} <br/>{{math|''i''&middot;(2−''i'')&middot;(14−''i'')}} <br/>{{math|(2+''i'')&middot;(14+''i'')}} <br/>{{math|(2+''i'')&middot;(14−''i'')}}
|-
|986
|{{math|5+31''i''}} <br/>{{math|19+25''i''}} <br/>{{math|25+19''i''}} <br/>{{math|31+5''i''}}
|{{math|(1+''i'')&middot;(4+''i'')&middot;(5+2''i'')}} <br/>{{math|(1+''i'')&middot;(4−''i'')&middot;(5+2''i'')}} <br/>{{math|(1+''i'')&middot;(4+''i'')&middot;(5−2''i'')}} <br/>{{math|(1+''i'')&middot;(4−''i'')&middot;(5−2''i'')}}
|-
|997
|{{math|6+31''i''}} <br/>{{math|31+6''i''}}
|(п) <br/>(п)
|-
|1000
|{{math|10+30''i''}} <br/>{{math|18+26''i''}} <br/>{{math|26+18''i''}} <br/>{{math|30+10''i''}}
|{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2+''i'')<sup>2</sup>&middot;(2−''i'')}} <br/>{{math|(1+''i'')<sup>3</sup>&middot;(2−''i'')<sup>3</sup>}} <br/>{{math|−(1+''i'')<sup>3</sup>&middot;(2+''i'')<sup>3</sup>}} <br/>{{math|−''i''&middot;(1+''i'')<sup>3</sup>&middot;(2+''i'')&middot;(2−''i'')<sup>2</sup>}}
|}
{{clear left}}

== Див. також ==
* [[Гауссові числа|Ґаусові числа]]
* [[Комплексне число]]
* [[Таблиця дільників]]
* [[Таблиця простих множників]]
* [[Таблиця дільників для ґаусових чисел]]

== Література ==
* {{citation|first=C. F.|last=Gauss|year=1831|url=https://babel.hathitrust.org/cgi/pt?id=mdp.39015073697180&view=1up&seq=285|title=Theoria residuorum biquadraticorum. Commentatio secunda.|journal=Comm. Soc. Reg. Sci. Göttingen|volume=7|pages=89–148}}; reprinted in Werke, Georg Olms Verlag, Hildesheim, 1973, pp.&nbsp;93–148.
* {{cite book |last1=Hardy |first1=G. H. |first2=E. M. |last2=Wright |title=An introduction to the theory of numbers |edition=4th |date=1968}}
* {{cite book |last1=Stillwell |first1=John |title=Elements of Number Theory |publisher=Science+Business Media New York |date=2003 |edition=4 |isbn=978-1-4419-3066-8}}
* {{cite article |last=Willerging |first=M. F. |title=Divisibility and factorization of Gaussian integers |journal=The Mathematics Teacher |volume=59 |issue=7 |year=1966 |pages=634-637 |url=https://www.jstor.org/stable/27957439}}

== Посилання ==
* {{Mathworld|title=Gaussian prime|urlname=GaussianPrime}}
* {{Mathworld|title=Prime Factorization|urlname=PrimeFactorization}}
* [https://oeis.org/search?q=Gaussian+prime OEIS: Gaussian Primes]

[[Категорія:Алгебричні числа]]
[[Категорія:Комплексні числа]]