A381097 - cp's OEIS frontend

A381097 Consider the polynomial P(m,z) = Sum_{i=1..k} d(i)*z^(i-1) where d(1), d(2), ..., d(k) are the k divisors of m. The sequence lists the numbers m such that P(m,z) is irreducible.

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	9
7	11
8	12
9	13
10	16
11	17
12	19
13	23
14	24
15	25
16	29
17	30
18	31
19	36
20	37
21	40
22	41
23	43
24	45
25	47
26	48
27	49
28	53
29	56
30	59
31	60
32	61
33	63
34	64
35	67
36	70
37	71
38	72
39	73
40	79
41	80
42	81
43	83
44	84
45	89
46	90
47	96
48	97
49	101
50	103
51	105
52	107
53	108
54	109
55	112
56	113
57	120
58	121
59	126
60	127
61	131
62	132
63	135

[2, 3, 4, 5, 7, 9, 11, 12, 13, 16, 17, 19, 23, 24, 25, 29, 30, 31, 36, 37, 40, 41, 43, 45, 47, 48, 49, 53, 56, 59, 60, 61, 63, 64, 67, 70, 71, 72, 73, 79, 80, 81, 83, 84, 89, 90, 96, 97, 101, 103, 105, 107, 108, 109, 112, 113, 120, 121, 126, 127, 131, 132, 135]

cp's OEIS Frontend

A381097 Consider the polynomial P(m,z) = Sum_{i=1..k} d(i)*z^(i-1) where d(1), d(2), ..., d(k) are the k divisors of m. The sequence lists the numbers m such that P(m,z) is irreducible.

Table of values

List of values

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	9
7	11
8	12
9	13
10	16
11	17
12	19
13	23
14	24
15	25
16	29
17	30
18	31
19	36
20	37
21	40
22	41
23	43
24	45
25	47
26	48
27	49
28	53
29	56
30	59
31	60
32	61
33	63
34	64
35	67
36	70
37	71
38	72
39	73
40	79
41	80
42	81
43	83
44	84
45	89
46	90
47	96
48	97
49	101
50	103
51	105
52	107
53	108
54	109
55	112
56	113
57	120
58	121
59	126
60	127
61	131
62	132
63	135

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	9
7	11
8	12
9	13
10	16
11	17
12	19
13	23
14	24
15	25
16	29
17	30
18	31
19	36
20	37
21	40
22	41
23	43
24	45
25	47
26	48
27	49
28	53
29	56
30	59
31	60
32	61
33	63
34	64
35	67
36	70
37	71
38	72
39	73
40	79
41	80
42	81
43	83
44	84
45	89
46	90
47	96
48	97
49	101
50	103
51	105
52	107
53	108
54	109
55	112
56	113
57	120
58	121
59	126
60	127
61	131
62	132
63	135

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	9
7	11
8	12
9	13
10	16
11	17
12	19
13	23
14	24
15	25
16	29
17	30
18	31
19	36
20	37
21	40
22	41
23	43
24	45
25	47
26	48
27	49
28	53
29	56
30	59
31	60
32	61
33	63
34	64
35	67
36	70
37	71
38	72
39	73
40	79
41	80
42	81
43	83
44	84
45	89
46	90
47	96
48	97
49	101
50	103
51	105
52	107
53	108
54	109
55	112
56	113
57	120
58	121
59	126
60	127
61	131
62	132
63	135