A256270 - cp's OEIS frontend

A256270 a(1) = 1; for n > 1, a(n) is the smallest positive integer not already in the sequence such that a(1)^2 + a(2)^2 + ... + a(n)^2 is prime.

n	a(n)
1	1
2	2
3	6
4	24
5	12
6	54
7	18
8	36
9	30
10	48
11	60
12	84
13	42
14	90
15	66
16	72
17	96
18	78
19	120
20	126
21	102
22	150
23	144
24	108
25	156
26	114
27	138
28	132
29	180
30	204
31	210
32	168
33	186
34	192
35	234
36	174
37	162
38	216
39	198
40	222
41	246
42	228
43	264
44	348
45	240
46	270
47	300
48	330
49	336
50	402
51	390
52	414
53	288
54	306
55	258
56	294
57	318
58	324
59	276
60	252
61	372
62	426
63	366
64	282
65	432
66	354
67	378

[1, 2, 6, 24, 12, 54, 18, 36, 30, 48, 60, 84, 42, 90, 66, 72, 96, 78, 120, 126, 102, 150, 144, 108, 156, 114, 138, 132, 180, 204, 210, 168, 186, 192, 234, 174, 162, 216, 198, 222, 246, 228, 264, 348, 240, 270, 300, 330, 336, 402, 390, 414, 288, 306, 258, 294, 318, 324, 276, 252, 372, 426, 366, 282, 432, 354, 378]

cp's OEIS Frontend

A256270 a(1) = 1; for n > 1, a(n) is the smallest positive integer not already in the sequence such that a(1)^2 + a(2)^2 + ... + a(n)^2 is prime.

Table of values

List of values

n	a(n)
1	1
2	2
3	6
4	24
5	12
6	54
7	18
8	36
9	30
10	48
11	60
12	84
13	42
14	90
15	66
16	72
17	96
18	78
19	120
20	126
21	102
22	150
23	144
24	108
25	156
26	114
27	138
28	132
29	180
30	204
31	210
32	168
33	186
34	192
35	234
36	174
37	162
38	216
39	198
40	222
41	246
42	228
43	264
44	348
45	240
46	270
47	300
48	330
49	336
50	402
51	390
52	414
53	288
54	306
55	258
56	294
57	318
58	324
59	276
60	252
61	372
62	426
63	366
64	282
65	432
66	354
67	378

n	a(n)
1	1
2	2
3	6
4	24
5	12
6	54
7	18
8	36
9	30
10	48
11	60
12	84
13	42
14	90
15	66
16	72
17	96
18	78
19	120
20	126
21	102
22	150
23	144
24	108
25	156
26	114
27	138
28	132
29	180
30	204
31	210
32	168
33	186
34	192
35	234
36	174
37	162
38	216
39	198
40	222
41	246
42	228
43	264
44	348
45	240
46	270
47	300
48	330
49	336
50	402
51	390
52	414
53	288
54	306
55	258
56	294
57	318
58	324
59	276
60	252
61	372
62	426
63	366
64	282
65	432
66	354
67	378

n	a(n)
1	1
2	2
3	6
4	24
5	12
6	54
7	18
8	36
9	30
10	48
11	60
12	84
13	42
14	90
15	66
16	72
17	96
18	78
19	120
20	126
21	102
22	150
23	144
24	108
25	156
26	114
27	138
28	132
29	180
30	204
31	210
32	168
33	186
34	192
35	234
36	174
37	162
38	216
39	198
40	222
41	246
42	228
43	264
44	348
45	240
46	270
47	300
48	330
49	336
50	402
51	390
52	414
53	288
54	306
55	258
56	294
57	318
58	324
59	276
60	252
61	372
62	426
63	366
64	282
65	432
66	354
67	378