A240751 - cp's OEIS frontend

A240751 a(n) is the smallest k such that in the prime power factorization of k! there exists at least one exponent n.

n	a(n)
1	2
2	6
3	4
4	6
5	12
6	15
7	8
8	10
9	21
10	12
11	14
12	50
13	27
14	30
15	16
16	18
17	36
18	20
19	22
20	85
21	45
22	24
23	26
24	100
25	28
26	30
27	57
28	60
29	182
30	63
31	32
32	34
33	135
34	36
35	38
36	78
37	150
38	40
39	42
40	81
41	44
42	46
43	175
44	90
45	93
46	48
47	50
48	99
49	52
50	54
51	210
52	215
53	56
54	58
55	114
56	60
57	62
58	120
59	123
60	364
61	126
62	129
63	64

[2, 6, 4, 6, 12, 15, 8, 10, 21, 12, 14, 50, 27, 30, 16, 18, 36, 20, 22, 85, 45, 24, 26, 100, 28, 30, 57, 60, 182, 63, 32, 34, 135, 36, 38, 78, 150, 40, 42, 81, 44, 46, 175, 90, 93, 48, 50, 99, 52, 54, 210, 215, 56, 58, 114, 60, 62, 120, 123, 364, 126, 129, 64]

cp's OEIS Frontend

A240751 a(n) is the smallest k such that in the prime power factorization of k! there exists at least one exponent n.

Table of values

List of values

n	a(n)
1	2
2	6
3	4
4	6
5	12
6	15
7	8
8	10
9	21
10	12
11	14
12	50
13	27
14	30
15	16
16	18
17	36
18	20
19	22
20	85
21	45
22	24
23	26
24	100
25	28
26	30
27	57
28	60
29	182
30	63
31	32
32	34
33	135
34	36
35	38
36	78
37	150
38	40
39	42
40	81
41	44
42	46
43	175
44	90
45	93
46	48
47	50
48	99
49	52
50	54
51	210
52	215
53	56
54	58
55	114
56	60
57	62
58	120
59	123
60	364
61	126
62	129
63	64

n	a(n)
1	2
2	6
3	4
4	6
5	12
6	15
7	8
8	10
9	21
10	12
11	14
12	50
13	27
14	30
15	16
16	18
17	36
18	20
19	22
20	85
21	45
22	24
23	26
24	100
25	28
26	30
27	57
28	60
29	182
30	63
31	32
32	34
33	135
34	36
35	38
36	78
37	150
38	40
39	42
40	81
41	44
42	46
43	175
44	90
45	93
46	48
47	50
48	99
49	52
50	54
51	210
52	215
53	56
54	58
55	114
56	60
57	62
58	120
59	123
60	364
61	126
62	129
63	64

n	a(n)
1	2
2	6
3	4
4	6
5	12
6	15
7	8
8	10
9	21
10	12
11	14
12	50
13	27
14	30
15	16
16	18
17	36
18	20
19	22
20	85
21	45
22	24
23	26
24	100
25	28
26	30
27	57
28	60
29	182
30	63
31	32
32	34
33	135
34	36
35	38
36	78
37	150
38	40
39	42
40	81
41	44
42	46
43	175
44	90
45	93
46	48
47	50
48	99
49	52
50	54
51	210
52	215
53	56
54	58
55	114
56	60
57	62
58	120
59	123
60	364
61	126
62	129
63	64