A300416 - cp's OEIS frontend

A300416 Number of prime Eisenstein integers z = x - yw^2 with |z| <= n and where w = -1/2 + isqrt(3)/2 is a primitive cube root of unity.

n	a(n)
1	0
2	2
3	4
4	6
5	9
6	11
7	15
8	17
9	23
10	25
11	30
12	34
13	40
14	44
15	50
16	54
17	61
18	65
19	71
20	79
21	87
22	91
23	98
24	104
25	114
26	122
27	128
28	138
29	147
30	155
31	161
32	171
33	183
34	193
35	199
36	209
37	217
38	225
39	237
40	249
41	262
42	276
43	286
44	296
45	308
46	318
47	331
48	345
49	359
50	365
51	377
52	391
53	410
54	418
55	428

[0, 2, 4, 6, 9, 11, 15, 17, 23, 25, 30, 34, 40, 44, 50, 54, 61, 65, 71, 79, 87, 91, 98, 104, 114, 122, 128, 138, 147, 155, 161, 171, 183, 193, 199, 209, 217, 225, 237, 249, 262, 276, 286, 296, 308, 318, 331, 345, 359, 365, 377, 391, 410, 418, 428]

cp's OEIS Frontend

A300416 Number of prime Eisenstein integers z = x - yw^2 with |z| <= n and where w = -1/2 + isqrt(3)/2 is a primitive cube root of unity.

Table of values

List of values

n	a(n)
1	0
2	2
3	4
4	6
5	9
6	11
7	15
8	17
9	23
10	25
11	30
12	34
13	40
14	44
15	50
16	54
17	61
18	65
19	71
20	79
21	87
22	91
23	98
24	104
25	114
26	122
27	128
28	138
29	147
30	155
31	161
32	171
33	183
34	193
35	199
36	209
37	217
38	225
39	237
40	249
41	262
42	276
43	286
44	296
45	308
46	318
47	331
48	345
49	359
50	365
51	377
52	391
53	410
54	418
55	428

n	a(n)
1	0
2	2
3	4
4	6
5	9
6	11
7	15
8	17
9	23
10	25
11	30
12	34
13	40
14	44
15	50
16	54
17	61
18	65
19	71
20	79
21	87
22	91
23	98
24	104
25	114
26	122
27	128
28	138
29	147
30	155
31	161
32	171
33	183
34	193
35	199
36	209
37	217
38	225
39	237
40	249
41	262
42	276
43	286
44	296
45	308
46	318
47	331
48	345
49	359
50	365
51	377
52	391
53	410
54	418
55	428

cp's OEIS Frontend

A300416 Number of prime Eisenstein integers z = x - y*w^2 with |z| <= n and where w = -1/2 + i*sqrt(3)/2 is a primitive cube root of unity.

Table of values

List of values

A300416 Number of prime Eisenstein integers z = x - yw^2 with |z| <= n and where w = -1/2 + isqrt(3)/2 is a primitive cube root of unity.

n	a(n)
1	0
2	2
3	4
4	6
5	9
6	11
7	15
8	17
9	23
10	25
11	30
12	34
13	40
14	44
15	50
16	54
17	61
18	65
19	71
20	79
21	87
22	91
23	98
24	104
25	114
26	122
27	128
28	138
29	147
30	155
31	161
32	171
33	183
34	193
35	199
36	209
37	217
38	225
39	237
40	249
41	262
42	276
43	286
44	296
45	308
46	318
47	331
48	345
49	359
50	365
51	377
52	391
53	410
54	418
55	428