A356631 - cp's OEIS frontend

A356631 a(n) is the least number k such that the sum (with multiplicity) of prime factors of k(k+1)...*(k+n-1) is a perfect power.

n	a(n)
1	1
2	4
3	2
4	1
5	4
6	5
7	2
8	1
9	11
10	18
11	8
12	12
13	8
14	15
15	4
16	41
17	10
18	65
19	10
20	39
21	21
22	5
23	54
24	30
25	25
26	2
27	1
28	17
29	43
30	2
31	1
32	80
33	12
34	41
35	206
36	11
37	70
38	39
39	81
40	5
41	289
42	50
43	18
44	56
45	24
46	10
47	49
48	103
49	146
50	77
51	53
52	582
53	31
54	58
55	37
56	419
57	140
58	174
59	77
60	44
61	100
62	168
63	44
64	42
65	99
66	13
67	11
68	80
69	60
70	101
71	71
72	12
73	24
74	70
75	11
76	52
77	671

[1, 4, 2, 1, 4, 5, 2, 1, 11, 18, 8, 12, 8, 15, 4, 41, 10, 65, 10, 39, 21, 5, 54, 30, 25, 2, 1, 17, 43, 2, 1, 80, 12, 41, 206, 11, 70, 39, 81, 5, 289, 50, 18, 56, 24, 10, 49, 103, 146, 77, 53, 582, 31, 58, 37, 419, 140, 174, 77, 44, 100, 168, 44, 42, 99, 13, 11, 80, 60, 101, 71, 12, 24, 70, 11, 52, 671]

cp's OEIS Frontend

A356631 a(n) is the least number k such that the sum (with multiplicity) of prime factors of k(k+1)...*(k+n-1) is a perfect power.

Table of values

List of values

n	a(n)
1	1
2	4
3	2
4	1
5	4
6	5
7	2
8	1
9	11
10	18
11	8
12	12
13	8
14	15
15	4
16	41
17	10
18	65
19	10
20	39
21	21
22	5
23	54
24	30
25	25
26	2
27	1
28	17
29	43
30	2
31	1
32	80
33	12
34	41
35	206
36	11
37	70
38	39
39	81
40	5
41	289
42	50
43	18
44	56
45	24
46	10
47	49
48	103
49	146
50	77
51	53
52	582
53	31
54	58
55	37
56	419
57	140
58	174
59	77
60	44
61	100
62	168
63	44
64	42
65	99
66	13
67	11
68	80
69	60
70	101
71	71
72	12
73	24
74	70
75	11
76	52
77	671

n	a(n)
1	1
2	4
3	2
4	1
5	4
6	5
7	2
8	1
9	11
10	18
11	8
12	12
13	8
14	15
15	4
16	41
17	10
18	65
19	10
20	39
21	21
22	5
23	54
24	30
25	25
26	2
27	1
28	17
29	43
30	2
31	1
32	80
33	12
34	41
35	206
36	11
37	70
38	39
39	81
40	5
41	289
42	50
43	18
44	56
45	24
46	10
47	49
48	103
49	146
50	77
51	53
52	582
53	31
54	58
55	37
56	419
57	140
58	174
59	77
60	44
61	100
62	168
63	44
64	42
65	99
66	13
67	11
68	80
69	60
70	101
71	71
72	12
73	24
74	70
75	11
76	52
77	671

cp's OEIS Frontend

A356631 a(n) is the least number k such that the sum (with multiplicity) of prime factors of k*(k+1)*...*(k+n-1) is a perfect power.

Table of values

List of values

A356631 a(n) is the least number k such that the sum (with multiplicity) of prime factors of k(k+1)...*(k+n-1) is a perfect power.

n	a(n)
1	1
2	4
3	2
4	1
5	4
6	5
7	2
8	1
9	11
10	18
11	8
12	12
13	8
14	15
15	4
16	41
17	10
18	65
19	10
20	39
21	21
22	5
23	54
24	30
25	25
26	2
27	1
28	17
29	43
30	2
31	1
32	80
33	12
34	41
35	206
36	11
37	70
38	39
39	81
40	5
41	289
42	50
43	18
44	56
45	24
46	10
47	49
48	103
49	146
50	77
51	53
52	582
53	31
54	58
55	37
56	419
57	140
58	174
59	77
60	44
61	100
62	168
63	44
64	42
65	99
66	13
67	11
68	80
69	60
70	101
71	71
72	12
73	24
74	70
75	11
76	52
77	671