A224418 - cp's OEIS frontend

A224418 Least prime q such that sum_{k=0}^n p(k)*x^{n-k} is irreducible modulo q, where p(k) refers to the partition number A000041(k).

n	a(n)
1	2
2	3
3	2
4	11
5	2
6	13
7	19
8	19
9	13
10	29
11	73
12	47
13	19
14	43
15	7
16	59
17	13
18	29
19	3
20	13
21	179
22	29
23	173
24	19
25	3
26	163
27	23
28	3
29	101
30	71
31	131
32	977
33	5
34	157
35	43
36	13
37	73
38	2
39	89
40	197
41	151
42	151
43	313
44	3
45	13
46	31
47	23
48	97
49	173
50	241
51	181
52	109
53	487
54	157
55	17
56	29
57	89
58	109
59	257
60	317

[2, 3, 2, 11, 2, 13, 19, 19, 13, 29, 73, 47, 19, 43, 7, 59, 13, 29, 3, 13, 179, 29, 173, 19, 3, 163, 23, 3, 101, 71, 131, 977, 5, 157, 43, 13, 73, 2, 89, 197, 151, 151, 313, 3, 13, 31, 23, 97, 173, 241, 181, 109, 487, 157, 17, 29, 89, 109, 257, 317]

cp's OEIS Frontend

A224418 Least prime q such that sum_{k=0}^n p(k)*x^{n-k} is irreducible modulo q, where p(k) refers to the partition number A000041(k).

Table of values

List of values

n	a(n)
1	2
2	3
3	2
4	11
5	2
6	13
7	19
8	19
9	13
10	29
11	73
12	47
13	19
14	43
15	7
16	59
17	13
18	29
19	3
20	13
21	179
22	29
23	173
24	19
25	3
26	163
27	23
28	3
29	101
30	71
31	131
32	977
33	5
34	157
35	43
36	13
37	73
38	2
39	89
40	197
41	151
42	151
43	313
44	3
45	13
46	31
47	23
48	97
49	173
50	241
51	181
52	109
53	487
54	157
55	17
56	29
57	89
58	109
59	257
60	317

n	a(n)
1	2
2	3
3	2
4	11
5	2
6	13
7	19
8	19
9	13
10	29
11	73
12	47
13	19
14	43
15	7
16	59
17	13
18	29
19	3
20	13
21	179
22	29
23	173
24	19
25	3
26	163
27	23
28	3
29	101
30	71
31	131
32	977
33	5
34	157
35	43
36	13
37	73
38	2
39	89
40	197
41	151
42	151
43	313
44	3
45	13
46	31
47	23
48	97
49	173
50	241
51	181
52	109
53	487
54	157
55	17
56	29
57	89
58	109
59	257
60	317

n	a(n)
1	2
2	3
3	2
4	11
5	2
6	13
7	19
8	19
9	13
10	29
11	73
12	47
13	19
14	43
15	7
16	59
17	13
18	29
19	3
20	13
21	179
22	29
23	173
24	19
25	3
26	163
27	23
28	3
29	101
30	71
31	131
32	977
33	5
34	157
35	43
36	13
37	73
38	2
39	89
40	197
41	151
42	151
43	313
44	3
45	13
46	31
47	23
48	97
49	173
50	241
51	181
52	109
53	487
54	157
55	17
56	29
57	89
58	109
59	257
60	317