A386828 - cp's OEIS frontend

A386828 Least prime n < p <= 2*n^2 + 1 such that the polynomial Sum_{k=1..n} x^(n-k)/k^2 is irreducible modulo p, or 1 if such a prime p does not exist.

n	a(n)
1	1
2	3
3	19
4	13
5	7
6	17
7	19
8	13
9	17
10	13
11	17
12	31
13	139
14	151
15	19
16	181
17	113
18	157
19	79
20	89
21	89
22	71
23	37
24	31
25	197
26	31
27	199
28	149
29	83
30	37
31	127
32	59
33	647
34	89
35	47
36	47
37	157
38	197
39	97
40	79
41	601
42	59
43	79
44	67
45	71
46	487
47	223
48	577
49	359
50	83
51	269
52	269
53	251
54	461
55	229
56	67
57	1777
58	859
59	1091
60	701

[1, 3, 19, 13, 7, 17, 19, 13, 17, 13, 17, 31, 139, 151, 19, 181, 113, 157, 79, 89, 89, 71, 37, 31, 197, 31, 199, 149, 83, 37, 127, 59, 647, 89, 47, 47, 157, 197, 97, 79, 601, 59, 79, 67, 71, 487, 223, 577, 359, 83, 269, 269, 251, 461, 229, 67, 1777, 859, 1091, 701]

cp's OEIS Frontend

A386828 Least prime n < p <= 2*n^2 + 1 such that the polynomial Sum_{k=1..n} x^(n-k)/k^2 is irreducible modulo p, or 1 if such a prime p does not exist.

Table of values

List of values