Таблиця дільників для ґаусових чисел

Кажуть, що ґаусове число ${\displaystyle \alpha }$ ділиться на ненульове ґаусове число ${\displaystyle \beta }$, якщо існує таке ґаусове число ${\displaystyle \gamma }$, для якого ${\displaystyle \alpha =\beta \gamma }$.

На діаграмі точками відмічено ґаусові числа. Колір точки, що позначає певне число, відповідає кількості дільників цього числа.

Відношення подільності позначається таким чином: ${\displaystyle \beta |\alpha }$.

При цьому число ${\displaystyle \beta }$ називають дільником числа ${\displaystyle \alpha }$.

Ґаусове число ${\displaystyle \rho }$ називають простим, якщо воно не є дільником одиниці і має рівно 8 дільників: ${\displaystyle \pm 1,\pm i,\pm \rho ,\pm i\rho }$.

Ця стаття містить таблицю, в якій наведено кількість, суму 4-тих степенів та добуток усіх дільників для ґаусових чисел з нормою, що не перевищує 1000.

Позначення в таблиці

• ${\displaystyle \tau ^{*}(\alpha )=\sum _{\delta |\alpha }1}$ – це кількість дільників ненульового ґаусового числа ${\displaystyle \alpha }$;
• ${\displaystyle \sigma _{4}^{*}(\alpha )=\sum _{\delta |\alpha }\delta ^{4}}$ – це сума 4-тих степенів усіх дільників ненульового ґаусового числа ${\displaystyle \alpha }$;
• ${\displaystyle \pi ^{*}(\alpha )=\prod _{\delta |\alpha }\delta }$ – це добуток усіх дільників ненульового ґаусового числа ${\displaystyle \alpha }$.

Примітка

1. Оскільки у асоційованих ґаусових чисел множини дільників є рівними, то в таблиці будуть вказані лише ґаусові числа з першої координатної чверті.
2. Якщо ${\displaystyle \delta }$ – дільник ґаусового числа ${\displaystyle \alpha }$, то ${\displaystyle -\delta ,i\delta }$ та ${\displaystyle -i\delta }$ теж є дільниками числа ${\displaystyle \alpha }$. Звідси випливає, що для будь-якого натурального ${\displaystyle m}$, не кратного 4, сума ${\displaystyle m}$-тих степенів усіх дільників числа ${\displaystyle \alpha }$ дорівнює 0. Тому в цій таблиці розглядається саме сума 4-тих степенів усіх дільників ненульового ґаусового числа.

Таблиця дільників

Норма	Число	Розклад	${\displaystyle \tau ^{*}}$	${\displaystyle \sigma _{4}^{*}}$	${\displaystyle \pi ^{*}}$
2	1+i	просте	8	−12	(1+i)^4
4	2	−i·(1+i)^2	12	52	2^6
5	1+2i 2+i	просте просте	8 8	−24−96i −24+96i	(1+2i)^4 (2+i)^4
8	2+2i	−i·(1+i)^3	16	−204	(2+2i)^8
9	3	просте	8	328	3^4
10	1+3i 3+i	(1+i)·(2+i) −i·(1+i)·(1+2i)	16 16	72−288i 72+288i	(1+3i)^8 (3+i)^8
13	2+3i 3+2i	просте просте	8 8	−472−480i −472+480i	(2+3i)^4 (3+2i)^4
16	4	−(1+i)^4	20	820	−4^10
17	1+4i 4+i	просте просте	8 8	648−960i 648+960i	(1+4i)^4 (4+i)^4
18	3+3i	(1+i)·3	16	−984	(3+3i)^8
20	2+4i 4+2i	−i·(1+i)^2·(1+2i) −i·(1+i)^2·(2+i)	24 24	−312−1248i −312+1248i	(2+4i)^12 (4+2i)^12
25	3+4i 4+3i 5	(2+i)^2 −i·(1+2i)^2 −i·(1+2i)·(2+i)	12 12 16	−2132−1248i −2132+1248i 2448	−(3+4i)^6 (4+3i)^6 5^8
26	1+5i 5+i	(1+i)·(3+2i) −i·(1+i)·(2+3i)	16 16	1416−1440i 1416+1440i	(1+5i)^8 (5+i)^8
29	2+5i 5+2i	просте просте	8 8	168−3360i 168+3360i	(2+5i)^4 (5+2i)^4
32	4+4i	−(1+i)^5	24	−3276	(4+4i)^12
34	3+5i 5+3i	(1+i)·(4+i) −i·(1+i)·(1+4i)	16 16	−1944−2880i −1944+2880i	(3+5i)^8 (5+3i)^8
36	6	−i·(1+i)^2·3	24	4264	6^12
37	1+6i 6+i	просте просте	8 8	4328−3360i 4328+3360i	(1+6i)^4 (6+i)^4
40	2+6i 6+2i	−i·(1+i)^3·(2+i) −(1+i)^3·(1+2i)	32 32	1224−4896i 1224+4896i	(2+6i)^16 (6+2i)^16
41	4+5i 5+4i	просте просте	8 8	−6072−2880i −6072+2880i	(4+5i)^4 (5+4i)^4
45	3+6i 6+3i	(1+2i)·3 (2+i)·3	16 16	−1968−7872i −1968+7872i	(3+6i)^8 (6+3i)^8
49	7	просте	8	9608	7^4
50	5+5i 1+7i 7+i	−i·(1+i)·(1+2i)·(2+i) −i·(1+i)·(1+2i)^2 −i·(1+i)·(2+i)^2	32 24 24	−7344 6396−3744i 6396+3744i	(5+5i)^16 (1+7i)^12 (7+i)^12
52	4+6i 6+4i	−i·(1+i)^2·(2+3i) −i·(1+i)^2·(3+2i)	24 24	−6136−6240i −6136+6240i	(4+6i)^12 (6+4i)^12
53	2+7i 7+2i	просте просте	8 8	4968−10080i 4968+10080i	(2+7i)^4 (7+2i)^4
58	3+7i 7+3i	(1+i)·(5+2i) −i·(1+i)·(2+5i)	16 16	−504−10080i −504+10080i	(3+7i)^8 (7+3i)^8
61	5+6i 6+5i	просте просте	8 8	−13912−5280i −13912+5280i	(5+6i)^4 (6+5i)^4
64	8	i·(1+i)^6	28	13108	8^14
65	4+7i 7+4i 1+8i 8+i	(2+i)·(3+2i) −i·(1+2i)·(2+3i) (2+i)·(2+3i) −i·(1+2i)·(3+2i)	16 16 16 16	−8688−14208i −8688+14208i 14352−8448i 14352+8448i	(4+7i)^8 (7+4i)^8 (1+8i)^8 (8+i)^8
68	2+8i 8+2i	−i·(1+i)^2·(1+4i) −i·(1+i)^2·(4+i)	24 24	8424−12480i 8424+12480i	(2+8i)^12 (8+2i)^12
72	6+6i	−i·(1+i)^3·3	32	−16728	(6+6i)^16
73	3+8i 8+3i	просте просте	8 8	2888−21120i 2888+21120i	(3+8i)^4 (8+3i)^4
74	5+7i 7+5i	(1+i)·(6+i) −i·(1+i)·(1+6i)	16 16	−12984−10080i −12984+10080i	(5+7i)^8 (7+5i)^8
80	4+8i 8+4i	−(1+i)^4·(1+2i) −(1+i)^4·(2+i)	40 40	−4920−19680i −4920+19680i	(4+8i)^20 (8+4i)^20
81	9	3^2	12	26572	−9^6
82	1+9i 9+i	(1+i)·(5+4i) −i·(1+i)·(4+5i)	16 16	18216−8640i 18216+8640i	(1+9i)^8 (9+i)^8
85	6+7i 7+6i 2+9i 9+2i	−i·(1+2i)·(1+4i) (2+i)·(4+i) (1+2i)·(4+i) −i·(1+4i)·(2+i)	16 16 16 16	−26928−9792i −26928+9792i 19152−21312i 19152+21312i	(6+7i)^8 (7+6i)^8 (2+9i)^8 (9+2i)^8
89	5+8i 8+5i	просте просте	8 8	−19512−24960i −19512+24960i	(5+8i)^4 (8+5i)^4
90	3+9i 9+3i	(1+i)·(2+i)·3 −i·(1+i)·(1+2i)·3	32 32	5904−23616i 5904+23616i	(3+9i)^16 (9+3i)^16
97	4+9i 9+4i	просте просте	8 8	−3832−37440i −3832+37440i	(4+9i)^4 (9+4i)^4
98	7+7i	(1+i)·7	16	−28824	(7+7i)^8
100	6+8i 8+6i 10	−i·(1+i)^2·(2+i)^2 −(1+i)^2·(1+2i)^2 −(1+i)^2·(1+2i)·(2+i)	36 36 48	−27716−16224i −27716+16224i 31824	(6+8i)^18 −(8+6i)^18 10^24
101	1+10i 10+i	просте просте	8 8	37608−15840i 37608+15840i	(1+10i)^4 (10+i)^4
104	2+10i 10+2i	−i·(1+i)^3·(3+2i) −(1+i)^3·(2+3i)	32 32	24072−24480i 24072+24480i	(2+10i)^16 (10+2i)^16
106	5+9i 9+5i	(1+i)·(7+2i) −i·(1+i)·(2+7i)	16 16	−14904−30240i −14904+30240i	(5+9i)^8 (9+5i)^8
109	3+10i 10+3i	просте просте	8 8	18728−43680i 18728+43680i	(3+10i)^4 (10+3i)^4
113	7+8i 8+7i	просте просте	8 8	−49272−13440i −49272+13440i	(7+8i)^4 (8+7i)^4
116	4+10i 10+4i	−i·(1+i)^2·(2+5i) −i·(1+i)^2·(5+2i)	24 24	2184−43680i 2184+43680i	(4+10i)^12 (10+4i)^12
117	6+9i 9+6i	(2+3i)·3 3·(3+2i)	16 16	−38704−39360i −38704+39360i	(6+9i)^8 (9+6i)^8
121	11	просте	8	58568	11^4
122	1+11i 11+i	(1+i)·(6+5i) −i·(1+i)·(5+6i)	16 16	41736−15840i 41736+15840i	(1+11i)^8 (11+i)^8
125	5+10i 10+5i 2+11i 11+2i	−i·(1+2i)^2·(2+i) −i·(1+2i)·(2+i)^2 (2+i)^3 −(1+2i)^3	24 24 16 16	−17160−58656i −17160+58656i 44880−42432i 44880+42432i	(5+10i)^12 (10+5i)^12 (2+11i)^8 (11+2i)^8
128	8+8i	i·(1+i)^7	32	−52428	(8+8i)^16
130	7+9i 9+7i 3+11i 11+3i	−i·(1+i)·(1+2i)·(3+2i) −i·(1+i)·(2+i)·(2+3i) −i·(1+i)·(1+2i)·(2+3i) −i·(1+i)·(2+i)·(3+2i)	32 32 32 32	−43056−25344i −43056+25344i 26064−42624i 26064+42624i	(7+9i)^16 (9+7i)^16 (3+11i)^16 (11+3i)^16
136	6+10i 10+6i	−i·(1+i)^3·(4+i) −(1+i)^3·(1+4i)	32 32	−33048−48960i −33048+48960i	(6+10i)^16 (10+6i)^16
137	4+11i 11+4i	просте просте	8 8	13128−73920i 13128+73920i	(4+11i)^4 (11+4i)^4
144	12	−(1+i)^4·3	40	67240	12^20
145	8+9i 9+8i 1+12i 12+i	(2+i)·(5+2i) −i·(1+2i)·(2+5i) (1+2i)·(5+2i) −i·(2+i)·(2+5i)	16 16 16 16	−81648−16128i −81648+16128i 79632−24192i 79632+24192i	(8+9i)^8 (9+8i)^8 (1+12i)^8 (12+i)^8
146	5+11i 11+5i	(1+i)·(8+3i) −i·(1+i)·(3+8i)	16 16	−8664−63360i −8664+63360i	(5+11i)^8 (11+5i)^8
148	2+12i 12+2i	−i·(1+i)^2·(1+6i) −i·(1+i)^2·(6+i)	24 24	56264−43680i 56264+43680i	(2+12i)^12 (12+2i)^12
149	7+10i 10+7i	просте просте	8 8	−67992−57120i −67992+57120i	(7+10i)^4 (10+7i)^4
153	3+12i 12+3i	(1+4i)·3 3·(4+i)	16 16	53136−78720i 53136+78720i	(3+12i)^8 (12+3i)^8
157	6+11i 11+6i	просте просте	8 8	−40792−89760i −40792+89760i	(6+11i)^4 (11+6i)^4
160	4+12i 12+4i	−(1+i)^5·(2+i) i·(1+i)^5·(1+2i)	48 48	19656−78624i 19656+78624i	(4+12i)^24 (12+4i)^24
162	9+9i	(1+i)·3^2	24	−79716	(9+9i)^12
164	8+10i 10+8i	−i·(1+i)^2·(4+5i) −i·(1+i)^2·(5+4i)	24 24	−78936−37440i −78936+37440i	(8+10i)^12 (10+8i)^12
169	5+12i 12+5i 13	(3+2i)^2 −i·(2+3i)^2 −i·(2+3i)·(3+2i)	12 12 16	−1428−113760i −1428+113760i 113296	−(5+12i)^6 (12+5i)^6 13^8
170	7+11i 11+7i 1+13i 13+i	−i·(1+i)·(1+4i)·(2+i) −i·(1+i)·(1+2i)·(4+i) (1+i)·(2+i)·(4+i) −(1+i)·(1+2i)·(1+4i)	32 32 32 32	−57456−63936i −57456+63936i 80784−29376i 80784+29376i	(7+11i)^16 (11+7i)^16 (1+13i)^16 (13+i)^16
173	2+13i 13+2i	просте просте	8 8	98088−68640i 98088+68640i	(2+13i)^4 (13+2i)^4
178	3+13i 13+3i	(1+i)·(8+5i) −i·(1+i)·(5+8i)	16 16	58536−74880i 58536+74880i	(3+13i)^8 (13+3i)^8
180	6+12i 12+6i	−i·(1+i)^2·(1+2i)·3 −i·(1+i)^2·(2+i)·3	48 48	−25584−102336i −25584+102336i	(6+12i)^24 (12+6i)^24
181	9+10i 10+9i	просте просте	8 8	−128152−27360i −128152+27360i	(9+10i)^4 (10+9i)^4
185	8+11i 11+8i 4+13i 13+4i	−i·(1+2i)·(1+6i) (2+i)·(6+i) (1+2i)·(6+i) −i·(1+6i)·(2+i)	16 16 16 16	−106608−83712i −106608+83712i 54672−124032i 54672+124032i	(8+11i)^8 (11+8i)^8 (4+13i)^8 (13+4i)^8
193	7+12i 12+7i	просте просте	8 8	−76792−127680i −76792+127680i	(7+12i)^4 (12+7i)^4
194	5+13i 13+5i	(1+i)·(9+4i) −i·(1+i)·(4+9i)	16 16	11496−112320i 11496+112320i	(5+13i)^8 (13+5i)^8
196	14	−i·(1+i)^2·7	24	124904	14^12
197	1+14i 14+i	просте просте	8 8	148968−43680i 148968+43680i	(1+14i)^4 (14+i)^4
200	10+10i 2+14i 14+2i	−(1+i)^3·(1+2i)·(2+i) −(1+i)^3·(1+2i)^2 −(1+i)^3·(2+i)^2	64 48 48	−124848 108732−63648i 108732+63648i	(10+10i)^32 (2+14i)^24 (14+2i)^24
202	9+11i 11+9i	(1+i)·(10+i) −i·(1+i)·(1+10i)	16 16	−112824−47520i −112824+47520i	(9+11i)^8 (11+9i)^8
205	6+13i 13+6i 3+14i 14+3i	(2+i)·(5+4i) −i·(1+2i)·(4+5i) (2+i)·(4+5i) −i·(1+2i)·(5+4i)	16 16 16 16	−32688−163008i −32688+163008i 105552−128448i 105552+128448i	(6+13i)^8 (13+6i)^8 (3+14i)^8 (14+3i)^8
208	8+12i 12+8i	−(1+i)^4·(2+3i) −(1+i)^4·(3+2i)	40 40	−96760−98400i −96760+98400i	(8+12i)^20 (12+8i)^20
212	4+14i 14+4i	−i·(1+i)^2·(2+7i) −i·(1+i)^2·(7+2i)	24 24	64584−131040i 64584+131040i	(4+14i)^12 (14+4i)^12
218	7+13i 13+7i	(1+i)·(10+3i) −i·(1+i)·(3+10i)	16 16	−56184−131040i −56184+131040i	(7+13i)^8 (13+7i)^8
221	10+11i 11+10i 5+14i 14+5i	(3+2i)·(4+i) −i·(1+4i)·(2+3i) (2+3i)·(4+i) −i·(1+4i)·(3+2i)	16 16 16 16	−191664−35520i −191664+35520i 38736−191040i 38736+191040i	(10+11i)^8 (11+10i)^8 (5+14i)^8 (14+5i)^8
225	9+12i 12+9i 15	(2+i)^2·3 −i·(1+2i)^2·3 −i·(1+2i)·(2+i)·3	24 24 32	−174824−102336i −174824+102336i 200736	(9+12i)^12 (12+9i)^12 15^16
226	1+15i 15+i	(1+i)·(8+7i) −i·(1+i)·(7+8i)	16 16	147816−40320i 147816+40320i	(1+15i)^8 (15+i)^8
229	2+15i 15+2i	просте просте	8 8	180968−106080i 180968+106080i	(2+15i)^4 (15+2i)^4
232	6+14i 14+6i	−i·(1+i)^3·(5+2i) −(1+i)^3·(2+5i)	32 32	−8568−171360i −8568+171360i	(6+14i)^16 (14+6i)^16
233	8+13i 13+8i	просте просте	8 8	−128952−174720i −128952+174720i	(8+13i)^4 (13+8i)^4
234	3+15i 15+3i	(1+i)·3·(3+2i) −i·(1+i)·(2+3i)·3	32 32	116112−118080i 116112+118080i	(3+15i)^16 (15+3i)^16
241	4+15i 15+4i	просте просте	8 8	117128−200640i 117128+200640i	(4+15i)^4 (15+4i)^4
242	11+11i	(1+i)·11	16	−175704	(11+11i)^8
244	10+12i 12+10i	−i·(1+i)^2·(5+6i) −i·(1+i)^2·(6+5i)	24 24	−180856−68640i −180856+68640i	(10+12i)^12 (12+10i)^12
245	7+14i 14+7i	(1+2i)·7 (2+i)·7	16 16	−57648−230592i −57648+230592i	(7+14i)^8 (14+7i)^8
250	9+13i 13+9i 5+15i 15+5i	−(1+i)·(1+2i)^3 −i·(1+i)·(2+i)^3 −i·(1+i)·(1+2i)·(2+i)^2 −(1+i)·(1+2i)^2·(2+i)	32 32 48 48	−134640−127296i −134640+127296i 51480−175968i 51480+175968i	(9+13i)^16 (13+9i)^16 (5+15i)^24 (15+5i)^24
256	16	(1+i)^8	36	209716	−16^18
257	1+16i 16+i	просте просте	8 8	256008−65280i 256008+65280i	(1+16i)^4 (16+i)^4
260	8+14i 14+8i 2+16i 16+2i	−i·(1+i)^2·(2+i)·(3+2i) −(1+i)^2·(1+2i)·(2+3i) −i·(1+i)^2·(2+i)·(2+3i) −(1+i)^2·(1+2i)·(3+2i)	48 48 48 48	−112944−184704i −112944+184704i 186576−109824i 186576+109824i	(8+14i)^24 (14+8i)^24 (2+16i)^24 (16+2i)^24
261	6+15i 15+6i	(2+5i)·3 3·(5+2i)	16 16	13776−275520i 13776+275520i	(6+15i)^8 (15+6i)^8
265	11+12i 12+11i 3+16i 16+3i	−i·(1+2i)·(2+7i) (2+i)·(7+2i) (1+2i)·(7+2i) −i·(2+i)·(2+7i)	16 16 16 16	−271728−58752i −271728+58752i 212112−179712i 212112+179712i	(11+12i)^8 (12+11i)^8 (3+16i)^8 (16+3i)^8
269	10+13i 13+10i	просте просте	8 8	−251352−143520i −251352+143520i	(10+13i)^4 (13+10i)^4
272	4+16i 16+4i	−(1+i)^4·(1+4i) −(1+i)^4·(4+i)	40 40	132840−196800i 132840+196800i	(4+16i)^20 (16+4i)^20
274	7+15i 15+7i	(1+i)·(11+4i) −i·(1+i)·(4+11i)	16 16	−39384−221760i −39384+221760i	(7+15i)^8 (15+7i)^8
277	9+14i 14+9i	просте просте	8 8	−201112−231840i −201112+231840i	(9+14i)^4 (14+9i)^4
281	5+16i 16+5i	просте просте	8 8	111048−295680i 111048+295680i	(5+16i)^4 (16+5i)^4
288	12+12i	−(1+i)^5·3	48	−268632	(12+12i)^24
289	8+15i 15+8i 17	−i·(1+4i)^2 (4+i)^2 −i·(1+4i)·(4+i)	12 12 16	−126068−310080i −126068+310080i 335376	(8+15i)^6 −(15+8i)^6 17^8
290	11+13i 13+11i 1+17i 17+i	−i·(1+i)·(2+i)·(2+5i) −i·(1+i)·(1+2i)·(5+2i) −i·(1+i)·(1+2i)·(2+5i) −i·(1+i)·(2+i)·(5+2i)	32 32 32 32	−238896−72576i −238896+72576i 244944−48384i 244944+48384i	(11+13i)^16 (13+11i)^16 (1+17i)^16 (17+i)^16
292	6+16i 16+6i	−i·(1+i)^2·(3+8i) −i·(1+i)^2·(8+3i)	24 24	37544−274560i 37544+274560i	(6+16i)^12 (16+6i)^12
293	2+17i 17+2i	просте просте	8 8	306408−155040i 306408+155040i	(2+17i)^4 (17+2i)^4
296	10+14i 14+10i	−i·(1+i)^3·(6+i) −(1+i)^3·(1+6i)	32 32	−220728−171360i −220728+171360i	(10+14i)^16 (14+10i)^16
298	3+17i 17+3i	(1+i)·(10+7i) −i·(1+i)·(7+10i)	16 16	203976−171360i 203976+171360i	(3+17i)^8 (17+3i)^8
305	7+16i 16+7i 4+17i 17+4i	(2+i)·(6+5i) −i·(1+2i)·(5+6i) (2+i)·(5+6i) −i·(1+2i)·(6+5i)	16 16 16 16	−43248−365568i −43248+365568i 210192−302208i 210192+302208i	(7+16i)^8 (16+7i)^8 (4+17i)^8 (17+4i)^8
306	9+15i 15+9i	(1+i)·3·(4+i) −i·(1+i)·(1+4i)·3	32 32	−159408−236160i −159408+236160i	(9+15i)^16 (15+9i)^16
313	12+13i 13+12i	просте просте	8 8	−386872−62400i −386872+62400i	(12+13i)^4 (13+12i)^4
314	5+17i 17+5i	(1+i)·(11+6i) −i·(1+i)·(6+11i)	16 16	122376−269280i 122376+269280i	(5+17i)^8 (17+5i)^8
317	11+14i 14+11i	просте просте	8 8	−356952−184800i −356952+184800i	(11+14i)^4 (14+11i)^4
320	8+16i 16+8i	i·(1+i)^6·(1+2i) i·(1+i)^6·(2+i)	56 56	−78648−314592i −78648+314592i	(8+16i)^28 (16+8i)^28
324	18	−i·(1+i)^2·3^2	36	345436	18^18
325	10+15i 15+10i 6+17i 17+6i 1+18i 18+i	−i·(1+2i)·(2+i)·(2+3i) −i·(1+2i)·(2+i)·(3+2i) −i·(1+2i)^2·(3+2i) −i·(2+i)^2·(2+3i) (2+i)^2·(3+2i) −(1+2i)^2·(2+3i)	32 32 24 24 24 24	−288864−293760i −288864+293760i 101816−403104i 101816+403104i 401336−108576i 401336+108576i	(10+15i)^16 (15+10i)^16 (6+17i)^12 (17+6i)^12 (1+18i)^12 (18+i)^12
328	2+18i 18+2i	−i·(1+i)^3·(5+4i) −(1+i)^3·(4+5i)	32 32	309672−146880i 309672+146880i	(2+18i)^16 (18+2i)^16
333	3+18i 18+3i	(1+6i)·3 3·(6+i)	16 16	354896−275520i 354896+275520i	(3+18i)^8 (18+3i)^8
337	9+16i 16+9i	просте просте	8 8	−209272−403200i −209272+403200i	(9+16i)^4 (16+9i)^4
338	13+13i 7+17i 17+7i	−i·(1+i)·(2+3i)·(3+2i) −i·(1+i)·(2+3i)^2 −i·(1+i)·(3+2i)^2	32 24 24	−339888 4284−341280i 4284+341280i	(13+13i)^16 (7+17i)^12 (17+7i)^12
340	12+14i 14+12i 4+18i 18+4i	−(1+i)^2·(1+2i)·(1+4i) −i·(1+i)^2·(2+i)·(4+i) −i·(1+i)^2·(1+2i)·(4+i) −(1+i)^2·(1+4i)·(2+i)	48 48 48 48	−350064−127296i −350064+127296i 248976−277056i 248976+277056i	(12+14i)^24 (14+12i)^24 (4+18i)^24 (18+4i)^24
346	11+15i 15+11i	(1+i)·(13+2i) −i·(1+i)·(2+13i)	16 16	−294264−205920i −294264+205920i	(11+15i)^8 (15+11i)^8
349	5+18i 18+5i	просте просте	8 8	228008−430560i 228008+430560i	(5+18i)^4 (18+5i)^4
353	8+17i 17+8i	просте просте	8 8	−93432−489600i −93432+489600i	(8+17i)^4 (17+8i)^4
356	10+16i 16+10i	−i·(1+i)^2·(5+8i) −i·(1+i)^2·(8+5i)	24 24	−253656−324480i −253656+324480i	(10+16i)^12 (16+10i)^12
360	6+18i 18+6i	−i·(1+i)^3·(2+i)·3 −(1+i)^3·(1+2i)·3	64 64	100368−401472i 100368+401472i	(6+18i)^32 (18+6i)^32
361	19	просте	8	521288	19^4
362	1+19i 19+i	(1+i)·(10+9i) −i·(1+i)·(9+10i)	16 16	384456−82080i 384456+82080i	(1+19i)^8 (19+i)^8
365	13+14i 14+13i 2+19i 19+2i	(2+i)·(8+3i) −i·(1+2i)·(3+8i) (1+2i)·(8+3i) −i·(2+i)·(3+8i)	16 16 16 16	−524208−57408i −524208+57408i 489552−196032i 489552+196032i	(13+14i)^8 (14+13i)^8 (2+19i)^8 (19+2i)^8
369	12+15i 15+12i	3·(4+5i) 3·(5+4i)	16 16	−497904−236160i −497904+236160i	(12+15i)^8 (15+12i)^8
370	9+17i 17+9i 3+19i 19+3i	−i·(1+i)·(1+6i)·(2+i) −i·(1+i)·(1+2i)·(6+i) (1+i)·(2+i)·(6+i) −(1+i)·(1+2i)·(1+6i)	32 32 32 32	−164016−372096i −164016+372096i 319824−251136i 319824+251136i	(9+17i)^16 (17+9i)^16 (3+19i)^16 (19+3i)^16
373	7+18i 18+7i	просте просте	8 8	48488−554400i 48488+554400i	(7+18i)^4 (18+7i)^4
377	11+16i 16+11i 4+19i 19+4i	(3+2i)·(5+2i) −i·(2+3i)·(2+5i) (2+3i)·(5+2i) −i·(2+5i)·(3+2i)	16 16 16 16	−423024−376320i −423024+376320i 383376−416640i 383376+416640i	(11+16i)^8 (16+11i)^8 (4+19i)^8 (19+4i)^8
386	5+19i 19+5i	(1+i)·(12+7i) −i·(1+i)·(7+12i)	16 16	230376−383040i 230376+383040i	(5+19i)^8 (19+5i)^8
388	8+18i 18+8i	−i·(1+i)^2·(4+9i) −i·(1+i)^2·(9+4i)	24 24	−49816−486720i −49816+486720i	(8+18i)^12 (18+8i)^12
389	10+17i 17+10i	просте просте	8 8	−319512−514080i −319512+514080i	(10+17i)^4 (17+10i)^4
392	14+14i	−i·(1+i)^3·7	32	−490008	(14+14i)^16
394	13+15i 15+13i	(1+i)·(14+i) −i·(1+i)·(1+14i)	16 16	−446904−131040i −446904+131040i	(13+15i)^8 (15+13i)^8
397	6+19i 19+6i	просте просте	8 8	214568−592800i 214568+592800i	(6+19i)^4 (19+6i)^4
400	12+16i 16+12i 20	−(1+i)^4·(2+i)^2 i·(1+i)^4·(1+2i)^2 i·(1+i)^4·(1+2i)·(2+i)	60 60 80	−437060−255840i −437060+255840i 501840	−(12+16i)^30 (16+12i)^30 20^40
401	1+20i 20+i	просте просте	8 8	630408−127680i 630408+127680i	(1+20i)^4 (20+i)^4
404	2+20i 20+2i	−i·(1+i)^2·(1+10i) −i·(1+i)^2·(10+i)	24 24	488904−205920i 488904+205920i	(2+20i)^12 (20+2i)^12
405	9+18i 18+9i	(1+2i)·3^2 (2+i)·3^2	24 24	−159432−637728i −159432+637728i	(9+18i)^12 (18+9i)^12
409	3+20i 20+3i	просте просте	8 8	553928−375360i 553928+375360i	(3+20i)^4 (20+3i)^4
410	11+17i 17+11i 7+19i 19+7i	−i·(1+i)·(1+2i)·(5+4i) −i·(1+i)·(2+i)·(4+5i) −i·(1+i)·(1+2i)·(4+5i) −i·(1+i)·(2+i)·(5+4i)	32 32 32 32	−316656−385344i −316656+385344i 98064−489024i 98064+489024i	(11+17i)^16 (17+11i)^16 (7+19i)^16 (19+7i)^16
416	4+20i 20+4i	−(1+i)^5·(3+2i) i·(1+i)^5·(2+3i)	48 48	386568−393120i 386568+393120i	(4+20i)^24 (20+4i)^24
421	14+15i 15+14i	просте просте	8 8	−702232−97440i −702232+97440i	(14+15i)^4 (15+14i)^4
424	10+18i 18+10i	−i·(1+i)^3·(7+2i) −(1+i)^3·(2+7i)	32 32	−253368−514080i −253368+514080i	(10+18i)^16 (18+10i)^16
425	13+16i 16+13i 8+19i 19+8i 5+20i 20+5i	−i·(1+2i)^2·(4+i) −i·(1+4i)·(2+i)^2 (2+i)^2·(4+i) −(1+2i)^2·(1+4i) −i·(1+2i)·(1+4i)·(2+i) −i·(1+2i)·(2+i)·(4+i)	24 24 24 24 32 32	−644904−309504i −644904+309504i −45864−713856i −45864+713856i 396576−587520i 396576+587520i	(13+16i)^12 (16+13i)^12 (8+19i)^12 (19+8i)^12 (5+20i)^16 (20+5i)^16
433	12+17i 17+12i	просте просте	8 8	−581752−473280i −581752+473280i	(12+17i)^4 (17+12i)^4
436	6+20i 20+6i	−i·(1+i)^2·(3+10i) −i·(1+i)^2·(10+3i)	24 24	243464−567840i 243464+567840i	(6+20i)^12 (20+6i)^12
441	21	3·7	16	787856	21^8
442	9+19i 19+9i 1+21i 21+i	−i·(1+i)·(1+4i)·(3+2i) −i·(1+i)·(2+3i)·(4+i) −i·(1+i)·(1+4i)·(2+3i) −i·(1+i)·(3+2i)·(4+i)	32 32 32 32	−116208−573120i −116208+573120i 574992−106560i 574992+106560i	(9+19i)^16 (19+9i)^16 (1+21i)^16 (21+i)^16
445	11+18i 18+11i 2+21i 21+2i	(2+i)·(8+5i) −i·(1+2i)·(5+8i) (2+i)·(5+8i) −i·(1+2i)·(8+5i)	16 16 16 16	−481968−618048i −481968+618048i 716112−318528i 716112+318528i	(11+18i)^8 (18+11i)^8 (2+21i)^8 (21+2i)^8
449	7+20i 20+7i	просте просте	8 8	179208−786240i 179208+786240i	(7+20i)^4 (20+7i)^4
450	15+15i 3+21i 21+3i	−i·(1+i)·(1+2i)·(2+i)·3 −i·(1+i)·(1+2i)^2·3 −i·(1+i)·(2+i)^2·3	64 48 48	−602208 524472−307008i 524472+307008i	(15+15i)^32 (3+21i)^24 (21+3i)^24
452	14+16i 16+14i	−i·(1+i)^2·(7+8i) −i·(1+i)^2·(8+7i)	24 24	−640536−174720i −640536+174720i	(14+16i)^12 (16+14i)^12
457	4+21i 21+4i	просте просте	8 8	609608−571200i 609608+571200i	(4+21i)^4 (21+4i)^4
458	13+17i 17+13i	(1+i)·(15+2i) −i·(1+i)·(2+15i)	16 16	−542904−318240i −542904+318240i	(13+17i)^8 (17+13i)^8
461	10+19i 19+10i	просте просте	8 8	−305112−793440i −305112+793440i	(10+19i)^4 (19+10i)^4
464	8+20i 20+8i	−(1+i)^4·(2+5i) −(1+i)^4·(5+2i)	40 40	34440−688800i 34440+688800i	(8+20i)^20 (20+8i)^20
466	5+21i 21+5i	(1+i)·(13+8i) −i·(1+i)·(8+13i)	16 16	386856−524160i 386856+524160i	(5+21i)^8 (21+5i)^8
468	12+18i 18+12i	−i·(1+i)^2·(2+3i)·3 −i·(1+i)^2·3·(3+2i)	48 48	−503152−511680i −503152+511680i	(12+18i)^24 (18+12i)^24
477	6+21i 21+6i	(2+7i)·3 3·(7+2i)	16 16	407376−826560i 407376+826560i	(6+21i)^8 (21+6i)^8
481	15+16i 16+15i 9+20i 20+9i	−i·(1+6i)·(2+3i) (3+2i)·(6+i) (2+3i)·(6+i) −i·(1+6i)·(3+2i)	16 16 16 16	−913904−122880i −913904+122880i −107504−915840i −107504+915840i	(15+16i)^8 (16+15i)^8 (9+20i)^8 (20+9i)^8
482	11+19i 19+11i	(1+i)·(15+4i) −i·(1+i)·(4+15i)	16 16	−351384−601920i −351384+601920i	(11+19i)^8 (19+11i)^8
484	22	−i·(1+i)^2·11	24	761384	22^12
485	14+17i 17+14i 1+22i 22+i	(2+i)·(9+4i) −i·(1+2i)·(4+9i) (1+2i)·(9+4i) −i·(2+i)·(4+9i)	16 16 16 16	−875568−316608i −875568+316608i 921552−132672i 921552+132672i	(14+17i)^8 (17+14i)^8 (1+22i)^8 (22+i)^8
488	2+22i 22+2i	−i·(1+i)^3·(6+5i) −(1+i)^3·(5+6i)	32 32	709512−269280i 709512+269280i	(2+22i)^16 (22+2i)^16
490	7+21i 21+7i	(1+i)·(2+i)·7 −i·(1+i)·(1+2i)·7	32 32	172944−691776i 172944+691776i	(7+21i)^16 (21+7i)^16
493	13+18i 18+13i 3+22i 22+3i	−i·(1+4i)·(2+5i) (4+i)·(5+2i) (2+5i)·(4+i) −i·(1+4i)·(5+2i)	16 16 16 16	−779184−584640i −779184+584640i 833616−504000i 833616+504000i	(13+18i)^8 (18+13i)^8 (3+22i)^8 (22+3i)^8
500	10+20i 20+10i 4+22i 22+4i	−(1+i)^2·(1+2i)^2·(2+i) −(1+i)^2·(1+2i)·(2+i)^2 −i·(1+i)^2·(2+i)^3 i·(1+i)^2·(1+2i)^3	72 72 48 48	−223080−762528i −223080+762528i 583440−551616i 583440+551616i	(10+20i)^36 (20+10i)^36 (4+22i)^24 (22+4i)^24
505	12+19i 19+12i 8+21i 21+8i	−i·(1+2i)·(1+10i) (2+i)·(10+i) (1+2i)·(10+i) −i·(1+10i)·(2+i)	16 16 16 16	−605808−807552i −605808+807552i 154512−997632i 154512+997632i	(12+19i)^8 (19+12i)^8 (8+21i)^8 (21+8i)^8
509	5+22i 22+5i	просте просте	8 8	649128−807840i 649128+807840i	(5+22i)^4 (22+5i)^4
512	16+16i	(1+i)^9	40	−838860	(16+16i)^20
514	15+17i 17+15i	(1+i)·(16+i) −i·(1+i)·(1+16i)	16 16	−768024−195840i −768024+195840i	(15+17i)^8 (17+15i)^8
520	14+18i 18+14i 6+22i 22+6i	−(1+i)^3·(1+2i)·(3+2i) −(1+i)^3·(2+i)·(2+3i) −(1+i)^3·(1+2i)·(2+3i) −(1+i)^3·(2+i)·(3+2i)	64 64 64 64	−731952−430848i −731952+430848i 443088−724608i 443088+724608i	(14+18i)^32 (18+14i)^32 (6+22i)^32 (22+6i)^32
521	11+20i 20+11i	просте просте	8 8	−463032−982080i −463032+982080i	(11+20i)^4 (20+11i)^4
522	9+21i 21+9i	(1+i)·3·(5+2i) −i·(1+i)·(2+5i)·3	32 32	−41328−826560i −41328+826560i	(9+21i)^16 (21+9i)^16
529	23	просте	8	1119368	23^4
530	13+19i 19+13i 1+23i 23+i	−i·(1+i)·(2+i)·(2+7i) −i·(1+i)·(1+2i)·(7+2i) (1+i)·(2+i)·(7+2i) −(1+i)·(1+2i)·(2+7i)	32 32 32 32	−636336−539136i −636336+539136i 815184−176256i 815184+176256i	(13+19i)^16 (19+13i)^16 (1+23i)^16 (23+i)^16
533	7+22i 22+7i 2+23i 23+2i	(3+2i)·(5+4i) −i·(2+3i)·(4+5i) (3+2i)·(4+5i) −i·(2+3i)·(5+4i)	16 16 16 16	370896−1068480i 370896+1068480i 1062096−388800i 1062096+388800i	(7+22i)^8 (22+7i)^8 (2+23i)^8 (23+2i)^8
538	3+23i 23+3i	(1+i)·(13+10i) −i·(1+i)·(10+13i)	16 16	754056−430560i 754056+430560i	(3+23i)^8 (23+3i)^8
541	10+21i 21+10i	просте просте	8 8	−240472−1145760i −240472+1145760i	(10+21i)^4 (21+10i)^4
544	12+20i 20+12i	−(1+i)^5·(4+i) i·(1+i)^5·(1+4i)	48 48	−530712−786240i −530712+786240i	(12+20i)^24 (20+12i)^24
545	16+17i 17+16i 4+23i 23+4i	−i·(1+2i)·(3+10i) (2+i)·(10+3i) (1+2i)·(10+3i) −i·(2+i)·(3+10i)	16 16 16 16	−1160688−187392i −1160688+187392i 935952−711552i 935952+711552i	(16+17i)^8 (17+16i)^8 (4+23i)^8 (23+4i)^8
548	8+22i 22+8i	−i·(1+i)^2·(4+11i) −i·(1+i)^2·(11+4i)	24 24	170664−960960i 170664+960960i	(8+22i)^12 (22+8i)^12
549	15+18i 18+15i	3·(5+6i) 3·(6+5i)	16 16	−1140784−432960i −1140784+432960i	(15+18i)^8 (18+15i)^8
554	5+23i 23+5i	(1+i)·(14+9i) −i·(1+i)·(9+14i)	16 16	603336−695520i 603336+695520i	(5+23i)^8 (23+5i)^8
557	14+19i 19+14i	просте просте	8 8	−1023192−702240i −1023192+702240i	(14+19i)^4 (19+14i)^4
562	11+21i 21+11i	(1+i)·(16+5i) −i·(1+i)·(5+16i)	16 16	−333144−887040i −333144+887040i	(11+21i)^8 (21+11i)^8
565	9+22i 22+9i 6+23i 23+6i	(2+i)·(8+7i) −i·(1+2i)·(7+8i) (2+i)·(7+8i) −i·(1+2i)·(8+7i)	16 16 16 16	−26928−1263168i −26928+1263168i 618192−1101888i 618192+1101888i	(9+22i)^8 (22+9i)^8 (6+23i)^8 (23+6i)^8
569	13+20i 20+13i	просте просте	8 8	−868152−960960i −868152+960960i	(13+20i)^4 (20+13i)^4
576	24	i·(1+i)^6·3	56	1074856	24^28
577	1+24i 24+i	просте просте	8 8	1313288−220800i 1313288+220800i	(1+24i)^4 (24+i)^4
578	17+17i 7+23i 23+7i	−i·(1+i)·(1+4i)·(4+i) (1+i)·(4+i)^2 −(1+i)·(1+4i)^2	32 24 24	−1006128 378204−930240i 378204+930240i	(17+17i)^16 (7+23i)^12 (23+7i)^12
580	16+18i 18+16i 2+24i 24+2i	−i·(1+i)^2·(2+i)·(5+2i) −(1+i)^2·(1+2i)·(2+5i) −i·(1+i)^2·(1+2i)·(5+2i) −(1+i)^2·(2+i)·(2+5i)	48 48 48 48	−1061424−209664i −1061424+209664i 1035216−314496i 1035216+314496i	(16+18i)^24 (18+16i)^24 (2+24i)^24 (24+2i)^24
584	10+22i 22+10i	−i·(1+i)^3·(8+3i) −(1+i)^3·(3+8i)	32 32	−147288−1077120i −147288+1077120i	(10+22i)^16 (22+10i)^16
585	12+21i 21+12i 3+24i 24+3i	(2+i)·3·(3+2i) −i·(1+2i)·(2+3i)·3 (2+i)·(2+3i)·3 −i·(1+2i)·3·(3+2i)	32 32 32 32	−712416−1165056i −712416+1165056i 1176864−692736i 1176864+692736i	(12+21i)^16 (21+12i)^16 (3+24i)^16 (24+3i)^16
586	15+19i 19+15i	(1+i)·(17+2i) −i·(1+i)·(2+17i)	16 16	−919224−465120i −919224+465120i	(15+19i)^8 (19+15i)^8
592	4+24i 24+4i	−(1+i)^4·(1+6i) −(1+i)^4·(6+i)	40 40	887240−688800i 887240+688800i	(4+24i)^20 (24+4i)^20
593	8+23i 23+8i	просте просте	8 8	323208−1368960i 323208+1368960i	(8+23i)^4 (23+8i)^4
596	14+20i 20+14i	−i·(1+i)^2·(7+10i) −i·(1+i)^2·(10+7i)	24 24	−883896−742560i −883896+742560i	(14+20i)^12 (20+14i)^12
601	5+24i 24+5i	просте просте	8 8	984008−1057920i 984008+1057920i	(5+24i)^4 (24+5i)^4
605	11+22i 22+11i	(1+2i)·11 (2+i)·11	16 16	−351408−1405632i −351408+1405632i	(11+22i)^8 (22+11i)^8
610	13+21i 21+13i 9+23i 23+9i	−i·(1+i)·(1+2i)·(6+5i) −i·(1+i)·(2+i)·(5+6i) −i·(1+i)·(1+2i)·(5+6i) −i·(1+i)·(2+i)·(6+5i)	32 32 32 32	−630576−906624i −630576+906624i 129744−1096704i 129744+1096704i	(13+21i)^16 (21+13i)^16 (9+23i)^16 (23+9i)^16
612	6+24i 24+6i	−i·(1+i)^2·(1+4i)·3 −i·(1+i)^2·3·(4+i)	48 48	690768−1023360i 690768+1023360i	(6+24i)^24 (24+6i)^24
613	17+18i 18+17i	просте просте	8 8	−1493272−171360i −1493272+171360i	(17+18i)^4 (18+17i)^4
617	16+19i 19+16i	просте просте	8 8	−1434552−510720i −1434552+510720i	(16+19i)^4 (19+16i)^4
625	15+20i 20+15i 7+24i 24+7i 25	−i·(1+2i)·(2+i)^3 −(1+2i)^3·(2+i) −(1+2i)^4 −i·(2+i)^4 −(1+2i)^2·(2+i)^2	32 32 20 20 36	−1287648−822528i −1287648+822528i 704212−1374144i 704212+1374144i 1525732	(15+20i)^16 (20+15i)^16 −(7+24i)^10 (24+7i)^10 −25^18
626	1+25i 25+i	(1+i)·(13+12i) −i·(1+i)·(12+13i)	16 16	1160616−187200i 1160616+187200i	(1+25i)^8 (25+i)^8
628	12+22i 22+12i	−i·(1+i)^2·(6+11i) −i·(1+i)^2·(11+6i)	24 24	−530296−1166880i −530296+1166880i	(12+22i)^12 (22+12i)^12
629	10+23i 23+10i 2+25i 25+2i	−i·(1+4i)·(1+6i) (4+i)·(6+i) (1+4i)·(6+i) −i·(1+6i)·(4+i)	16 16 16 16	−105264−1583040i −105264+1583040i 1507536−494400i 1507536+494400i	(10+23i)^8 (23+10i)^8 (2+25i)^8 (25+2i)^8
634	3+25i 25+3i	(1+i)·(14+11i) −i·(1+i)·(11+14i)	16 16	1070856−554400i 1070856+554400i	(3+25i)^8 (25+3i)^8
637	14+21i 21+14i	(2+3i)·7 (3+2i)·7	16 16	−1133744−1152960i −1133744+1152960i	(14+21i)^8 (21+14i)^8
640	8+24i 24+8i	i·(1+i)^7·(2+i) (1+i)^7·(1+2i)	64 64	314568−1258272i 314568+1258272i	(8+24i)^32 (24+8i)^32
641	4+25i 25+4i	просте просте	8 8	1323528−974400i 1323528+974400i	(4+25i)^4 (25+4i)^4
648	18+18i	−i·(1+i)^3·3^2	48	−1355172	(18+18i)^24
650	17+19i 19+17i 11+23i 23+11i 5+25i 25+5i	−(1+i)·(1+2i)^2·(2+3i) −i·(1+i)·(2+i)^2·(3+2i) −i·(1+i)·(2+i)^2·(2+3i) −(1+i)·(1+2i)^2·(3+2i) −i·(1+i)·(1+2i)·(2+i)·(3+2i) −(1+i)·(1+2i)·(2+i)·(2+3i)	48 48 48 48 64 64	−1204008−325728i −1204008+325728i −305448−1209312i −305448+1209312i 866592−881280i 866592+881280i	(17+19i)^24 (19+17i)^24 (11+23i)^24 (23+11i)^24 (5+25i)^32 (25+5i)^32
653	13+22i 22+13i	просте просте	8 8	−911832−1441440i −911832+1441440i	(13+22i)^4 (22+13i)^4
656	16+20i 20+16i	−(1+i)^4·(4+5i) −(1+i)^4·(5+4i)	40 40	−1244760−590400i −1244760+590400i	(16+20i)^20 (20+16i)^20
657	9+24i 24+9i	3·(3+8i) 3·(8+3i)	16 16	236816−1731840i 236816+1731840i	(9+24i)^8 (24+9i)^8
661	6+25i 25+6i	просте просте	8 8	1027688−1413600i 1027688+1413600i	(6+25i)^4 (25+6i)^4
666	15+21i 21+15i	(1+i)·3·(6+i) −i·(1+i)·(1+6i)·3	32 32	−1064688−826560i −1064688+826560i	(15+21i)^16 (21+15i)^16
673	12+23i 23+12i	просте просте	8 8	−625912−1700160i −625912+1700160i	(12+23i)^4 (23+12i)^4
674	7+25i 25+7i	(1+i)·(16+9i) −i·(1+i)·(9+16i)	16 16	627816−1209600i 627816+1209600i	(7+25i)^8 (25+7i)^8
676	10+24i 24+10i 26	−i·(1+i)^2·(3+2i)^2 −(1+i)^2·(2+3i)^2 −(1+i)^2·(2+3i)·(3+2i)	36 36 48	−18564−1478880i −18564+1478880i 1472848	(10+24i)^18 −(24+10i)^18 26^24
677	1+26i 26+i	просте просте	8 8	1811688−280800i 1811688+280800i	(1+26i)^4 (26+i)^4
680	14+22i 22+14i 2+26i 26+2i	−(1+i)^3·(1+4i)·(2+i) −(1+i)^3·(1+2i)·(4+i) −i·(1+i)^3·(2+i)·(4+i) i·(1+i)^3·(1+2i)·(1+4i)	64 64 64 64	−976752−1086912i −976752+1086912i 1373328−499392i 1373328+499392i	(14+22i)^32 (22+14i)^32 (2+26i)^32 (26+2i)^32
685	18+19i 19+18i 3+26i 26+3i	(2+i)·(11+4i) −i·(1+2i)·(4+11i) (1+2i)·(11+4i) −i·(2+i)·(4+11i)	16 16 16 16	−1852848−128448i −1852848+128448i 1695312−758592i 1695312+758592i	(18+19i)^8 (19+18i)^8 (3+26i)^8 (26+3i)^8
689	17+20i 20+17i 8+25i 25+8i	(3+2i)·(7+2i) −i·(2+3i)·(2+7i) (2+3i)·(7+2i) −i·(2+7i)·(3+2i)	16 16 16 16	−1795824−593280i −1795824+593280i 623376−1785600i 623376+1785600i	(17+20i)^8 (20+17i)^8 (8+25i)^8 (25+8i)^8
692	4+26i 26+4i	−i·(1+i)^2·(2+13i) −i·(1+i)^2·(13+2i)	24 24	1275144−892320i 1275144+892320i	(4+26i)^12 (26+4i)^12
697	16+21i 21+16i 11+24i 24+11i	(4+i)·(5+4i) −i·(1+4i)·(4+5i) (4+i)·(4+5i) −i·(1+4i)·(5+4i)	16 16 16 16	−1674864−990720i −1674864+990720i −292464−1923840i −292464+1923840i	(16+21i)^8 (21+16i)^8 (11+24i)^8 (24+11i)^8
698	13+23i 23+13i	(1+i)·(18+5i) −i·(1+i)·(5+18i)	16 16	−684024−1291680i −684024+1291680i	(13+23i)^8 (23+13i)^8
701	5+26i 26+5i	просте просте	8 8	1424808−1354080i 1424808+1354080i	(5+26i)^4 (26+5i)^4
706	9+25i 25+9i	(1+i)·(17+8i) −i·(1+i)·(8+17i)	16 16	280296−1468800i 280296+1468800i	(9+25i)^8 (25+9i)^8
709	15+22i 22+15i	просте просте	8 8	−1474072−1367520i −1474072+1367520i	(15+22i)^4 (22+15i)^4
712	6+26i 26+6i	−i·(1+i)^3·(8+5i) −(1+i)^3·(5+8i)	32 32	995112−1272960i 995112+1272960i	(6+26i)^16 (26+6i)^16
720	12+24i 24+12i	−(1+i)^4·(1+2i)·3 −(1+i)^4·(2+i)·3	80 80	−403440−1613760i −403440+1613760i	(12+24i)^40 (24+12i)^40
722	19+19i	(1+i)·19	16	−1563864	(19+19i)^8
724	18+20i 20+18i	−i·(1+i)^2·(9+10i) −i·(1+i)^2·(10+9i)	24 24	−1665976−355680i −1665976+355680i	(18+20i)^12 (20+18i)^12
725	14+23i 23+14i 10+25i 25+10i 7+26i 26+7i	−i·(1+2i)^2·(5+2i) −i·(2+i)^2·(2+5i) −i·(1+2i)·(2+i)·(2+5i) −i·(1+2i)·(2+i)·(5+2i) (2+i)^2·(5+2i) −(1+2i)^2·(2+5i)	24 24 32 32 24 24	−1137864−1738464i −1137864+1738464i 102816−2056320i 102816+2056320i 958776−1843296i 958776+1843296i	(14+23i)^12 (23+14i)^12 (10+25i)^16 (25+10i)^16 (7+26i)^12 (26+7i)^12
729	27	3^3	16	2152336	27^8
730	17+21i 21+17i 1+27i 27+i	−i·(1+i)·(2+i)·(3+8i) −i·(1+i)·(1+2i)·(8+3i) −i·(1+i)·(1+2i)·(3+8i) −i·(1+i)·(2+i)·(8+3i)	32 32 32 32	−1468656−588096i −1468656+588096i 1572624−172224i 1572624+172224i	(17+21i)^16 (21+17i)^16 (1+27i)^16 (27+i)^16
733	2+27i 27+2i	просте просте	8 8	2055848−626400i 2055848+626400i	(2+27i)^4 (27+2i)^4
738	3+27i 27+3i	(1+i)·3·(5+4i) −i·(1+i)·3·(4+5i)	32 32	1493712−708480i 1493712+708480i	(3+27i)^16 (27+3i)^16
740	16+22i 22+16i 8+26i 26+8i	−(1+i)^2·(1+2i)·(1+6i) −i·(1+i)^2·(2+i)·(6+i) −i·(1+i)^2·(1+2i)·(6+i) −(1+i)^2·(1+6i)·(2+i)	48 48 48 48	−1385904−1088256i −1385904+1088256i 710736−1612416i 710736+1612416i	(16+22i)^24 (22+16i)^24 (8+26i)^24 (26+8i)^24
745	13+24i 24+13i 4+27i 27+4i	(2+i)·(10+7i) −i·(1+2i)·(7+10i) (2+i)·(7+10i) −i·(1+2i)·(10+7i)	16 16 16 16	−962928−1974528i −962928+1974528i 1778832−1289088i 1778832+1289088i	(13+24i)^8 (24+13i)^8 (4+27i)^8 (27+4i)^8
746	11+25i 25+11i	(1+i)·(18+7i) −i·(1+i)·(7+18i)	16 16	−145464−1663200i −145464+1663200i	(11+25i)^8 (25+11i)^8
754	15+23i 23+15i 5+27i 27+5i	−i·(1+i)·(2+5i)·(3+2i) −i·(1+i)·(2+3i)·(5+2i) −i·(1+i)·(2+3i)·(2+5i) −i·(1+i)·(3+2i)·(5+2i)	32 32 32 32	−1150128−1249920i −1150128+1249920i 1269072−1128960i 1269072+1128960i	(15+23i)^16 (23+15i)^16 (5+27i)^16 (27+5i)^16
757	9+26i 26+9i	просте просте	8 8	540008−2227680i 540008+2227680i	(9+26i)^4 (26+9i)^4
761	19+20i 20+19i	просте просте	8 8	−2304312−237120i −2304312+237120i	(19+20i)^4 (20+19i)^4
765	18+21i 21+18i 6+27i 27+6i	−i·(1+2i)·(1+4i)·3 (2+i)·3·(4+i) (1+2i)·3·(4+i) −i·(1+4i)·(2+i)·3	32 32 32 32	−2208096−802944i −2208096+802944i 1570464−1747584i 1570464+1747584i	(18+21i)^16 (21+18i)^16 (6+27i)^16 (27+6i)^16
769	12+25i 25+12i	просте просте	8 8	−514552−2308800i −514552+2308800i	(12+25i)^4 (25+12i)^4
772	14+24i 24+14i	−i·(1+i)^2·(7+12i) −i·(1+i)^2·(12+7i)	24 24	−998296−1659840i −998296+1659840i	(14+24i)^12 (24+14i)^12
773	17+22i 22+17i	просте просте	8 8	−2085912−1166880i −2085912+1166880i	(17+22i)^4 (22+17i)^4
776	10+26i 26+10i	−i·(1+i)^3·(9+4i) −(1+i)^3·(4+9i)	32 32	195432−1909440i 195432+1909440i	(10+26i)^16 (26+10i)^16
778	7+27i 27+7i	(1+i)·(17+10i) −i·(1+i)·(10+17i)	16 16	958536−1542240i 958536+1542240i	(7+27i)^8 (27+7i)^8
784	28	−(1+i)^4·7	40	1969640	28^20
785	16+23i 23+16i 1+28i 28+i	(2+i)·(11+6i) −i·(1+2i)·(6+11i) (2+i)·(6+11i) −i·(1+2i)·(11+6i)	16 16 16 16	−1909488−1517568i −1909488+1517568i 2398992−440448i 2398992+440448i	(16+23i)^8 (23+16i)^8 (1+28i)^8 (28+i)^8
788	2+28i 28+2i	−i·(1+i)^2·(1+14i) −i·(1+i)^2·(14+i)	24 24	1936584−567840i 1936584+567840i	(2+28i)^12 (28+2i)^12
793	8+27i 27+8i 3+28i 28+3i	(3+2i)·(6+5i) −i·(2+3i)·(5+6i) (3+2i)·(5+6i) −i·(2+3i)·(6+5i)	16 16 16 16	1008016−2292480i 1008016+2292480i 2275216−1046400i 2275216+1046400i	(8+27i)^8 (27+8i)^8 (3+28i)^8 (28+3i)^8
794	13+25i 25+13i	(1+i)·(19+6i) −i·(1+i)·(6+19i)	16 16	−643704−1778400i −643704+1778400i	(13+25i)^8 (25+13i)^8
797	11+26i 26+11i	просте просте	8 8	−76632−2539680i −76632+2539680i	(11+26i)^4 (26+11i)^4
800	20+20i 4+28i 28+4i	i·(1+i)^5·(1+2i)·(2+i) i·(1+i)^5·(1+2i)^2 i·(1+i)^5·(2+i)^2	96 72 72	−2004912 1746108−1022112i 1746108+1022112i	(20+20i)^48 (4+28i)^36 (28+4i)^36
801	15+24i 24+15i	3·(5+8i) 3·(8+5i)	16 16	−1599984−2046720i −1599984+2046720i	(15+24i)^8 (24+15i)^8
802	19+21i 21+19i	(1+i)·(20+i) −i·(1+i)·(1+20i)	16 16	−1891224−383040i −1891224+383040i	(19+21i)^8 (21+19i)^8
808	18+22i 22+18i	−i·(1+i)^3·(10+i) −(1+i)^3·(1+10i)	32 32	−1918008−807840i −1918008+807840i	(18+22i)^16 (22+18i)^16
809	5+28i 28+5i	просте просте	8 8	1990728−1700160i 1990728+1700160i	(5+28i)^4 (28+5i)^4
810	9+27i 27+9i	(1+i)·(2+i)·3^2 −i·(1+i)·(1+2i)·3^2	48 48	478296−1913184i 478296+1913184i	(9+27i)^24 (27+9i)^24
818	17+23i 23+17i	(1+i)·(20+3i) −i·(1+i)·(3+20i)	16 16	−1661784−1126080i −1661784+1126080i	(17+23i)^8 (23+17i)^8
820	12+26i 26+12i 6+28i 28+6i	−i·(1+i)^2·(2+i)·(5+4i) −(1+i)^2·(1+2i)·(4+5i) −i·(1+i)^2·(2+i)·(4+5i) −(1+i)^2·(1+2i)·(5+4i)	48 48 48 48	−424944−2119104i −424944+2119104i 1372176−1669824i 1372176+1669824i	(12+26i)^24 (26+12i)^24 (6+28i)^24 (28+6i)^24
821	14+25i 25+14i	просте просте	8 8	−1223832−2402400i −1223832+2402400i	(14+25i)^4 (25+14i)^4
829	10+27i 27+10i	просте просте	8 8	416168−2717280i 416168+2717280i	(10+27i)^4 (27+10i)^4
832	16+24i 24+16i	i·(1+i)^6·(2+3i) i·(1+i)^6·(3+2i)	56 56	−1546744−1572960i −1546744+1572960i	(16+24i)^28 (24+16i)^28
833	7+28i 28+7i	(1+4i)·7 (4+i)·7	16 16	1556496−2305920i 1556496+2305920i	(7+28i)^8 (28+7i)^8
841	20+21i 21+20i 29	−i·(2+5i)^2 (5+2i)^2 −i·(2+5i)·(5+2i)	12 12 16	−2815508−278880i −2815508+278880i 2829456	(20+21i)^6 −(21+20i)^6 29^8
842	1+29i 29+i	(1+i)·(15+14i) −i·(1+i)·(14+15i)	16 16	2106696−292320i 2106696+292320i	(1+29i)^8 (29+i)^8
845	19+22i 22+19i 13+26i 26+13i 2+29i 29+2i	−i·(2+i)·(2+3i)^2 −i·(1+2i)·(3+2i)^2 −i·(1+2i)·(2+3i)·(3+2i) −i·(2+i)·(2+3i)·(3+2i) −i·(1+2i)·(2+3i)^2 −i·(2+i)·(3+2i)^2	24 24 32 32 24 24	−2721672−716832i −2721672+716832i −679776−2719104i −679776+2719104i 2738808−648288i 2738808+648288i	(19+22i)^12 (22+19i)^12 (13+26i)^16 (26+13i)^16 (2+29i)^12 (29+2i)^12
848	8+28i 28+8i	−(1+i)^4·(2+7i) −(1+i)^4·(7+2i)	40 40	1018440−2066400i 1018440+2066400i	(8+28i)^20 (28+8i)^20
850	15+25i 25+15i 11+27i 27+11i 3+29i 29+3i	−i·(1+i)·(1+2i)·(2+i)·(4+i) −(1+i)·(1+2i)·(1+4i)·(2+i) −(1+i)·(1+2i)^2·(1+4i) −i·(1+i)·(2+i)^2·(4+i) −i·(1+i)·(1+4i)·(2+i)^2 −(1+i)·(1+2i)^2·(4+i)	64 64 48 48 48 48	−1189728−1762560i −1189728+1762560i 137592−2141568i 137592+2141568i 1934712−928512i 1934712+928512i	(15+25i)^32 (25+15i)^32 (11+27i)^24 (27+11i)^24 (3+29i)^24 (29+3i)^24
853	18+23i 23+18i	просте просте	8 8	−2574232−1357920i −2574232+1357920i	(18+23i)^4 (23+18i)^4
857	4+29i 29+4i	просте просте	8 8	2507208−1531200i 2507208+1531200i	(4+29i)^4 (29+4i)^4
865	17+24i 24+17i 9+28i 28+9i	−i·(1+2i)·(2+13i) (2+i)·(13+2i) (1+2i)·(13+2i) −i·(2+i)·(2+13i)	16 16 16 16	−2235888−1942272i −2235888+1942272i 1058832−2765952i 1058832+2765952i	(17+24i)^8 (24+17i)^8 (9+28i)^8 (28+9i)^8
866	5+29i 29+5i	(1+i)·(17+12i) −i·(1+i)·(12+17i)	16 16	1745256−1419840i 1745256+1419840i	(5+29i)^8 (29+5i)^8
872	14+26i 26+14i	−i·(1+i)^3·(10+3i) −(1+i)^3·(3+10i)	32 32	−955128−2227680i −955128+2227680i	(14+26i)^16 (26+14i)^16
873	12+27i 27+12i	3·(4+9i) 3·(9+4i)	16 16	−314224−3070080i −314224+3070080i	(12+27i)^8 (27+12i)^8
877	6+29i 29+6i	просте просте	8 8	2107688−2241120i 2107688+2241120i	(6+29i)^4 (29+6i)^4
881	16+25i 25+16i	просте просте	8 8	−2015352−2361600i −2015352+2361600i	(16+25i)^4 (25+16i)^4
882	21+21i	(1+i)·3·7	32	−2363568	(21+21i)^16
884	20+22i 22+20i 10+28i 28+10i	−i·(1+i)^2·(3+2i)·(4+i) −(1+i)^2·(1+4i)·(2+3i) −i·(1+i)^2·(2+3i)·(4+i) −(1+i)^2·(1+4i)·(3+2i)	48 48 48 48	−2491632−461760i −2491632+461760i 503568−2483520i 503568+2483520i	(20+22i)^24 (22+20i)^24 (10+28i)^24 (28+10i)^24
890	19+23i 23+19i 7+29i 29+7i	−i·(1+i)·(1+2i)·(8+5i) −i·(1+i)·(2+i)·(5+8i) −i·(1+i)·(1+2i)·(5+8i) −i·(1+i)·(2+i)·(8+5i)	32 32 32 32	−2148336−955584i −2148336+955584i 1445904−1854144i 1445904+1854144i	(19+23i)^16 (23+19i)^16 (7+29i)^16 (29+7i)^16
898	13+27i 27+13i	(1+i)·(20+7i) −i·(1+i)·(7+20i)	16 16	−537624−2358720i −537624+2358720i	(13+27i)^8 (27+13i)^8
900	18+24i 24+18i 30	−i·(1+i)^2·(2+i)^2·3 −(1+i)^2·(1+2i)^2·3 −(1+i)^2·(1+2i)·(2+i)·3	72 72 96	−2272712−1330368i −2272712+1330368i 2609568	(18+24i)^36 (24+18i)^36 30^48
901	15+26i 26+15i 1+30i 30+i	−i·(1+4i)·(2+7i) (4+i)·(7+2i) (2+7i)·(4+i) −i·(1+4i)·(7+2i)	16 16 16 16	−1614384−2825280i −1614384+2825280i 3224016−440640i 3224016+440640i	(15+26i)^8 (26+15i)^8 (1+30i)^8 (30+i)^8
904	2+30i 30+2i	−i·(1+i)^3·(8+7i) −(1+i)^3·(7+8i)	32 32	2512872−685440i 2512872+685440i	(2+30i)^16 (30+2i)^16
905	11+28i 28+11i 8+29i 29+8i	(2+i)·(10+9i) −i·(1+2i)·(9+10i) (2+i)·(9+10i) −i·(1+2i)·(10+9i)	16 16 16 16	112272−3239808i 112272+3239808i 1425552−2911488i 1425552+2911488i	(11+28i)^8 (28+11i)^8 (8+29i)^8 (29+8i)^8
909	3+30i 30+3i	(1+10i)·3 3·(10+i)	16 16	3083856−1298880i 3083856+1298880i	(3+30i)^8 (30+3i)^8
914	17+25i 25+17i	(1+i)·(21+4i) −i·(1+i)·(4+21i)	16 16	−1828824−1713600i −1828824+1713600i	(17+25i)^8 (25+17i)^8
916	4+30i 30+4i	−i·(1+i)^2·(2+15i) −i·(1+i)^2·(15+2i)	24 24	2352584−1379040i 2352584+1379040i	(4+30i)^12 (30+4i)^12
922	9+29i 29+9i	(1+i)·(19+10i) −i·(1+i)·(10+19i)	16 16	915336−2380320i 915336+2380320i	(9+29i)^8 (29+9i)^8
925	21+22i 22+21i 14+27i 27+14i 5+30i 30+5i	−i·(1+2i)^2·(6+i) −i·(1+6i)·(2+i)^2 (2+i)^2·(6+i) −(1+2i)^2·(1+6i) −i·(1+2i)·(1+6i)·(2+i) −i·(1+2i)·(2+i)·(6+i)	24 24 24 24 32 32	−3355144−440544i −3355144+440544i −1258504−3141216i −1258504+3141216i 2648736−2056320i 2648736+2056320i	(21+22i)^12 (22+21i)^12 (14+27i)^12 (27+14i)^12 (5+30i)^16 (30+5i)^16
928	12+28i 28+12i	−(1+i)^5·(5+2i) i·(1+i)^5·(2+5i)	48 48	−137592−2751840i −137592+2751840i	(12+28i)^24 (28+12i)^24
929	20+23i 23+20i	просте просте	8 8	−3319032−949440i −3319032+949440i	(20+23i)^4 (23+20i)^4
932	16+26i 26+16i	−i·(1+i)^2·(8+13i) −i·(1+i)^2·(13+8i)	24 24	−1676376−2271360i −1676376+2271360i	(16+26i)^12 (26+16i)^12
936	6+30i 30+6i	−i·(1+i)^3·3·(3+2i) −(1+i)^3·(2+3i)·3	64 64	1973904−2007360i 1973904+2007360i	(6+30i)^32 (30+6i)^32
937	19+24i 24+19i	просте просте	8 8	−3142072−1568640i −3142072+1568640i	(19+24i)^4 (24+19i)^4
941	10+29i 29+10i	просте просте	8 8	850728−3438240i 850728+3438240i	(10+29i)^4 (29+10i)^4
949	18+25i 25+18i 7+30i 30+7i	(3+2i)·(8+3i) −i·(2+3i)·(3+8i) (2+3i)·(8+3i) −i·(3+2i)·(3+8i)	16 16 16 16	−2875184−2145600i −2875184+2145600i 2193616−2838720i 2193616+2838720i	(18+25i)^8 (25+18i)^8 (7+30i)^8 (30+7i)^8
953	13+28i 28+13i	просте просте	8 8	−607032−3581760i −607032+3581760i	(13+28i)^4 (28+13i)^4
954	15+27i 27+15i	(1+i)·3·(7+2i) −i·(1+i)·(2+7i)·3	32 32	−1222128−2479680i −1222128+2479680i	(15+27i)^16 (27+15i)^16
961	31	просте	8	3694088	31^4
962	11+29i 29+11i 1+31i 31+i	−i·(1+i)·(1+6i)·(3+2i) −i·(1+i)·(2+3i)·(6+i) (1+i)·(3+2i)·(6+i) −(1+i)·(1+6i)·(2+3i)	32 32 32 32	322512−2747520i 322512+2747520i 2741712−368640i 2741712+368640i	(11+29i)^16 (29+11i)^16 (1+31i)^16 (31+i)^16
964	8+30i 30+8i	−i·(1+i)^2·(4+15i) −i·(1+i)^2·(15+4i)	24 24	1522664−2608320i 1522664+2608320i	(8+30i)^12 (30+8i)^12
965	17+26i 26+17i 2+31i 31+2i	(2+i)·(12+7i) −i·(1+2i)·(7+12i) (2+i)·(7+12i) −i·(1+2i)·(12+7i)	16 16 16 16	−2603568−2609088i −2603568+2609088i 3525072−1076928i 3525072+1076928i	(17+26i)^8 (26+17i)^8 (2+31i)^8 (31+2i)^8
968	22+22i	−i·(1+i)^3·11	32	−2986968	(22+22i)^16
970	21+23i 23+21i 3+31i 31+3i	−i·(1+i)·(2+i)·(4+9i) −i·(1+i)·(1+2i)·(9+4i) −i·(1+i)·(1+2i)·(4+9i) −i·(1+i)·(2+i)·(9+4i)	32 32 32 32	−2764656−398016i −2764656+398016i 2626704−949824i 2626704+949824i	(21+23i)^16 (23+21i)^16 (3+31i)^16 (31+3i)^16
976	20+24i 24+20i	−(1+i)^4·(5+6i) −(1+i)^4·(6+5i)	40 40	−2851960−1082400i −2851960+1082400i	(20+24i)^20 (24+20i)^20
977	4+31i 31+4i	просте просте	8 8	3326088−1874880i 3326088+1874880i	(4+31i)^4 (31+4i)^4
980	14+28i 28+14i	−i·(1+i)^2·(1+2i)·7 −i·(1+i)^2·(2+i)·7	48 48	−749424−2997696i −749424+2997696i	(14+28i)^24 (28+14i)^24
981	9+30i 30+9i	3·(3+10i) 3·(10+3i)	16 16	1535696−3581760i 1535696+3581760i	(9+30i)^8 (30+9i)^8
985	16+27i 27+16i 12+29i 29+12i	−i·(1+2i)·(1+14i) (2+i)·(14+i) (1+2i)·(14+i) −i·(1+14i)·(2+i)	16 16 16 16	−1942128−3313152i −1942128+3313152i 154512−3837312i 154512+3837312i	(16+27i)^8 (27+16i)^8 (12+29i)^8 (29+12i)^8
986	19+25i 25+19i 5+31i 31+5i	−i·(1+i)·(1+4i)·(5+2i) −i·(1+i)·(2+5i)·(4+i) (1+i)·(4+i)·(5+2i) −(1+i)·(1+4i)·(2+5i)	32 32 32 32	−2500848−1512000i −2500848+1512000i 2337552−1753920i 2337552+1753920i	(19+25i)^16 (25+19i)^16 (5+31i)^16 (31+5i)^16
997	6+31i 31+6i	просте просте	8 8	2868968−2752800i 2868968+2752800i	(6+31i)^4 (31+6i)^4
1000	18+26i 26+18i 10+30i 30+10i	i·(1+i)^3·(1+2i)^3 −(1+i)^3·(2+i)^3 −(1+i)^3·(1+2i)·(2+i)^2 i·(1+i)^3·(1+2i)^2·(2+i)	64 64 96 96	−2288880−2164032i −2288880+2164032i 875160−2991456i 875160+2991456i	(18+26i)^32 (26+18i)^32 (10+30i)^48 (30+10i)^48

Див. також

• Ґаусові числа
• Таблиця дільників
• Розклади ґаусових чисел на прості множники (таблиця)
• Функція дільників

Примітки

1. Hardy, G. H.; Wright, E. M. (1968). An introduction to the theory of numbers (Англійською мовою) . Oxford University Press. с. 182—183.

Література

• Hardy, G. H.; Wright, E. M. (1968). An introduction to the theory of numbers (вид. 4th).
• Stillwell, John (2003). Elements of Number Theory (вид. 4). Science+Business Media New York. ISBN .
• Willerging M. F. Divisibility and factorization of Gaussian integers // The Mathematics Teacher. — 1966. — Т. 59, вип. 7. — С. 634-637.