A224480 - cp's OEIS frontend

A224480 Least prime q such that x^n + sum_{k=1}^n p_k*x^{n-k} is irreducible modulo q, where p_k denotes the k-th prime.

n	a(n)
1	2
2	11
3	2
4	2
5	2
6	2
7	2
8	53
9	13
10	3
11	5
12	2
13	2
14	2
15	2
16	421
17	29
18	19
19	7
20	2
21	29
22	37
23	2
24	743
25	41
26	23
27	13
28	47
29	5
30	2
31	269
32	139
33	211
34	31
35	73
36	307
37	2
38	2
39	5
40	89
41	23
42	839
43	181
44	379
45	173
46	89
47	2
48	353
49	101
50	307
51	3
52	29
53	389
54	2
55	863
56	71
57	503
58	619
59	193
60	2

[2, 11, 2, 2, 2, 2, 2, 53, 13, 3, 5, 2, 2, 2, 2, 421, 29, 19, 7, 2, 29, 37, 2, 743, 41, 23, 13, 47, 5, 2, 269, 139, 211, 31, 73, 307, 2, 2, 5, 89, 23, 839, 181, 379, 173, 89, 2, 353, 101, 307, 3, 29, 389, 2, 863, 71, 503, 619, 193, 2]

cp's OEIS Frontend

A224480 Least prime q such that x^n + sum_{k=1}^n p_k*x^{n-k} is irreducible modulo q, where p_k denotes the k-th prime.

Table of values

List of values

n	a(n)
1	2
2	11
3	2
4	2
5	2
6	2
7	2
8	53
9	13
10	3
11	5
12	2
13	2
14	2
15	2
16	421
17	29
18	19
19	7
20	2
21	29
22	37
23	2
24	743
25	41
26	23
27	13
28	47
29	5
30	2
31	269
32	139
33	211
34	31
35	73
36	307
37	2
38	2
39	5
40	89
41	23
42	839
43	181
44	379
45	173
46	89
47	2
48	353
49	101
50	307
51	3
52	29
53	389
54	2
55	863
56	71
57	503
58	619
59	193
60	2

n	a(n)
1	2
2	11
3	2
4	2
5	2
6	2
7	2
8	53
9	13
10	3
11	5
12	2
13	2
14	2
15	2
16	421
17	29
18	19
19	7
20	2
21	29
22	37
23	2
24	743
25	41
26	23
27	13
28	47
29	5
30	2
31	269
32	139
33	211
34	31
35	73
36	307
37	2
38	2
39	5
40	89
41	23
42	839
43	181
44	379
45	173
46	89
47	2
48	353
49	101
50	307
51	3
52	29
53	389
54	2
55	863
56	71
57	503
58	619
59	193
60	2

n	a(n)
1	2
2	11
3	2
4	2
5	2
6	2
7	2
8	53
9	13
10	3
11	5
12	2
13	2
14	2
15	2
16	421
17	29
18	19
19	7
20	2
21	29
22	37
23	2
24	743
25	41
26	23
27	13
28	47
29	5
30	2
31	269
32	139
33	211
34	31
35	73
36	307
37	2
38	2
39	5
40	89
41	23
42	839
43	181
44	379
45	173
46	89
47	2
48	353
49	101
50	307
51	3
52	29
53	389
54	2
55	863
56	71
57	503
58	619
59	193
60	2