A385323 - cp's OEIS frontend

A385323 a(n) is the smallest prime p for which the Diophantine equation Sum_{i=1..n} (x_i)^3 = p^3 has a solution, where (x_i), i=1..n, is a strictly increasing sequence of positive integers, or -1 if no such prime exists.

n	a(n)
1	2
2	-1
3	19
4	13
5	17
6	13
7	17
8	17
9	19
10	19
11	23
12	23
13	29
14	29
15	29
16	31
17	37
18	37
19	41
20	41
21	43
22	47
23	53
24	53
25	53
26	59
27	59
28	59
29	67
30	67
31	67
32	71
33	71
34	79
35	79
36	79
37	83
38	89
39	89
40	97

[2, -1, 19, 13, 17, 13, 17, 17, 19, 19, 23, 23, 29, 29, 29, 31, 37, 37, 41, 41, 43, 47, 53, 53, 53, 59, 59, 59, 67, 67, 67, 71, 71, 79, 79, 79, 83, 89, 89, 97]

cp's OEIS Frontend

A385323 a(n) is the smallest prime p for which the Diophantine equation Sum_{i=1..n} (x_i)^3 = p^3 has a solution, where (x_i), i=1..n, is a strictly increasing sequence of positive integers, or -1 if no such prime exists.

Table of values

List of values

n	a(n)
1	2
2	-1
3	19
4	13
5	17
6	13
7	17
8	17
9	19
10	19
11	23
12	23
13	29
14	29
15	29
16	31
17	37
18	37
19	41
20	41
21	43
22	47
23	53
24	53
25	53
26	59
27	59
28	59
29	67
30	67
31	67
32	71
33	71
34	79
35	79
36	79
37	83
38	89
39	89
40	97

n	a(n)
1	2
2	-1
3	19
4	13
5	17
6	13
7	17
8	17
9	19
10	19
11	23
12	23
13	29
14	29
15	29
16	31
17	37
18	37
19	41
20	41
21	43
22	47
23	53
24	53
25	53
26	59
27	59
28	59
29	67
30	67
31	67
32	71
33	71
34	79
35	79
36	79
37	83
38	89
39	89
40	97

n	a(n)
1	2
2	-1
3	19
4	13
5	17
6	13
7	17
8	17
9	19
10	19
11	23
12	23
13	29
14	29
15	29
16	31
17	37
18	37
19	41
20	41
21	43
22	47
23	53
24	53
25	53
26	59
27	59
28	59
29	67
30	67
31	67
32	71
33	71
34	79
35	79
36	79
37	83
38	89
39	89
40	97