A294280 - cp's OEIS frontend

A294280 a(n) = least positive k such that omega(n+k) > max(omega(n), omega(k)), where omega(m) = A001221(m), the number of distinct primes dividing m.

n	a(n)
1	1
2	4
3	3
4	2
5	1
6	24
7	3
8	2
9	1
10	20
11	1
12	18
13	1
14	16
15	15
16	2
17	1
18	12
19	1
20	10
21	9
22	8
23	1
24	6
25	1
26	4
27	1
28	2
29	1
30	180
31	2
32	1
33	9
34	8
35	7
36	6
37	1
38	4
39	3
40	2
41	1
42	168
43	1
44	16
45	15
46	14
47	1
48	12
49	1
50	10
51	9
52	8
53	1
54	6
55	5
56	4
57	3
58	2
59	1
60	150
61	1
62	4
63	3
64	1
65	1
66	144
67	1
68	2
69	1
70	140
71	1
72	6
73	1
74	4
75	3
76	2
77	1
78	132
79	1

[1, 4, 3, 2, 1, 24, 3, 2, 1, 20, 1, 18, 1, 16, 15, 2, 1, 12, 1, 10, 9, 8, 1, 6, 1, 4, 1, 2, 1, 180, 2, 1, 9, 8, 7, 6, 1, 4, 3, 2, 1, 168, 1, 16, 15, 14, 1, 12, 1, 10, 9, 8, 1, 6, 5, 4, 3, 2, 1, 150, 1, 4, 3, 1, 1, 144, 1, 2, 1, 140, 1, 6, 1, 4, 3, 2, 1, 132, 1]

cp's OEIS Frontend

A294280 a(n) = least positive k such that omega(n+k) > max(omega(n), omega(k)), where omega(m) = A001221(m), the number of distinct primes dividing m.

Table of values

List of values

n	a(n)
1	1
2	4
3	3
4	2
5	1
6	24
7	3
8	2
9	1
10	20
11	1
12	18
13	1
14	16
15	15
16	2
17	1
18	12
19	1
20	10
21	9
22	8
23	1
24	6
25	1
26	4
27	1
28	2
29	1
30	180
31	2
32	1
33	9
34	8
35	7
36	6
37	1
38	4
39	3
40	2
41	1
42	168
43	1
44	16
45	15
46	14
47	1
48	12
49	1
50	10
51	9
52	8
53	1
54	6
55	5
56	4
57	3
58	2
59	1
60	150
61	1
62	4
63	3
64	1
65	1
66	144
67	1
68	2
69	1
70	140
71	1
72	6
73	1
74	4
75	3
76	2
77	1
78	132
79	1

n	a(n)
1	1
2	4
3	3
4	2
5	1
6	24
7	3
8	2
9	1
10	20
11	1
12	18
13	1
14	16
15	15
16	2
17	1
18	12
19	1
20	10
21	9
22	8
23	1
24	6
25	1
26	4
27	1
28	2
29	1
30	180
31	2
32	1
33	9
34	8
35	7
36	6
37	1
38	4
39	3
40	2
41	1
42	168
43	1
44	16
45	15
46	14
47	1
48	12
49	1
50	10
51	9
52	8
53	1
54	6
55	5
56	4
57	3
58	2
59	1
60	150
61	1
62	4
63	3
64	1
65	1
66	144
67	1
68	2
69	1
70	140
71	1
72	6
73	1
74	4
75	3
76	2
77	1
78	132
79	1

n	a(n)
1	1
2	4
3	3
4	2
5	1
6	24
7	3
8	2
9	1
10	20
11	1
12	18
13	1
14	16
15	15
16	2
17	1
18	12
19	1
20	10
21	9
22	8
23	1
24	6
25	1
26	4
27	1
28	2
29	1
30	180
31	2
32	1
33	9
34	8
35	7
36	6
37	1
38	4
39	3
40	2
41	1
42	168
43	1
44	16
45	15
46	14
47	1
48	12
49	1
50	10
51	9
52	8
53	1
54	6
55	5
56	4
57	3
58	2
59	1
60	150
61	1
62	4
63	3
64	1
65	1
66	144
67	1
68	2
69	1
70	140
71	1
72	6
73	1
74	4
75	3
76	2
77	1
78	132
79	1