A224416 - cp's OEIS frontend

A224416 Least prime p such that the polynomial sum_{k=0}^n C_k*x^{n-k} is irreducible modulo p, where C_k denotes the Catalan number binomial(2k,k)/(k+1).

n	a(n)
1	2
2	3
3	2
4	3
5	17
6	7
7	47
8	3
9	53
10	5
11	137
12	109
13	79
14	11
15	37
16	7
17	59
18	13
19	53
20	251
21	251
22	101
23	467
24	149
25	79
26	3
27	83
28	61
29	239
30	31
31	79
32	73
33	73
34	373
35	199
36	5
37	337
38	167
39	17
40	683
41	523
42	269
43	37
44	163
45	431
46	163
47	163
48	7
49	487
50	7
51	167
52	163
53	197
54	1549
55	137
56	503
57	139
58	263
59	151
60	283

[2, 3, 2, 3, 17, 7, 47, 3, 53, 5, 137, 109, 79, 11, 37, 7, 59, 13, 53, 251, 251, 101, 467, 149, 79, 3, 83, 61, 239, 31, 79, 73, 73, 373, 199, 5, 337, 167, 17, 683, 523, 269, 37, 163, 431, 163, 163, 7, 487, 7, 167, 163, 197, 1549, 137, 503, 139, 263, 151, 283]

cp's OEIS Frontend

A224416 Least prime p such that the polynomial sum_{k=0}^n C_k*x^{n-k} is irreducible modulo p, where C_k denotes the Catalan number binomial(2k,k)/(k+1).

Table of values

List of values