A358674 - cp's OEIS frontend

A358674 Numbers k for which there is a factorization of k into such a pair of natural numbers x and y, that the sum (x * y') + (x' * y) will generate at least one carry when the addition is done in the primorial base. Here n' stands for A003415(n), the arithmetic derivative of n.

n	a(n)
1	8
2	9
3	10
4	15
5	16
6	20
7	21
8	22
9	24
10	25
11	28
12	30
13	32
14	33
15	34
16	35
17	36
18	39
19	40
20	42
21	44
22	45
23	46
24	48
25	49
26	50
27	51
28	52
29	54
30	55
31	56
32	57
33	58
34	60
35	64
36	65
37	66
38	68
39	69
40	72
41	75
42	76
43	77
44	78
45	80
46	81
47	82
48	84
49	85
50	87
51	88
52	90
53	91
54	92
55	93
56	94
57	95
58	96
59	98
60	100
61	102
62	104
63	105
64	106
65	108
66	110
67	111
68	112
69	114
70	115
71	116
72	118
73	119

[8, 9, 10, 15, 16, 20, 21, 22, 24, 25, 28, 30, 32, 33, 34, 35, 36, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 64, 65, 66, 68, 69, 72, 75, 76, 77, 78, 80, 81, 82, 84, 85, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 118, 119]

cp's OEIS Frontend

A358674 Numbers k for which there is a factorization of k into such a pair of natural numbers x and y, that the sum (x * y') + (x' * y) will generate at least one carry when the addition is done in the primorial base. Here n' stands for A003415(n), the arithmetic derivative of n.

Table of values

List of values

n	a(n)
1	8
2	9
3	10
4	15
5	16
6	20
7	21
8	22
9	24
10	25
11	28
12	30
13	32
14	33
15	34
16	35
17	36
18	39
19	40
20	42
21	44
22	45
23	46
24	48
25	49
26	50
27	51
28	52
29	54
30	55
31	56
32	57
33	58
34	60
35	64
36	65
37	66
38	68
39	69
40	72
41	75
42	76
43	77
44	78
45	80
46	81
47	82
48	84
49	85
50	87
51	88
52	90
53	91
54	92
55	93
56	94
57	95
58	96
59	98
60	100
61	102
62	104
63	105
64	106
65	108
66	110
67	111
68	112
69	114
70	115
71	116
72	118
73	119

n	a(n)
1	8
2	9
3	10
4	15
5	16
6	20
7	21
8	22
9	24
10	25
11	28
12	30
13	32
14	33
15	34
16	35
17	36
18	39
19	40
20	42
21	44
22	45
23	46
24	48
25	49
26	50
27	51
28	52
29	54
30	55
31	56
32	57
33	58
34	60
35	64
36	65
37	66
38	68
39	69
40	72
41	75
42	76
43	77
44	78
45	80
46	81
47	82
48	84
49	85
50	87
51	88
52	90
53	91
54	92
55	93
56	94
57	95
58	96
59	98
60	100
61	102
62	104
63	105
64	106
65	108
66	110
67	111
68	112
69	114
70	115
71	116
72	118
73	119

n	a(n)
1	8
2	9
3	10
4	15
5	16
6	20
7	21
8	22
9	24
10	25
11	28
12	30
13	32
14	33
15	34
16	35
17	36
18	39
19	40
20	42
21	44
22	45
23	46
24	48
25	49
26	50
27	51
28	52
29	54
30	55
31	56
32	57
33	58
34	60
35	64
36	65
37	66
38	68
39	69
40	72
41	75
42	76
43	77
44	78
45	80
46	81
47	82
48	84
49	85
50	87
51	88
52	90
53	91
54	92
55	93
56	94
57	95
58	96
59	98
60	100
61	102
62	104
63	105
64	106
65	108
66	110
67	111
68	112
69	114
70	115
71	116
72	118
73	119