A265626 - cp's OEIS frontend

A265626 Let S be the set of factorizations of n! where the largest factor is the largest prime <= n, and let f(s) be the least factor in the factorization s. Then a(n) = max f(S).

n	a(n)
2	2
3	2
4	2
5	2
6	3
7	4
8	3
9	3
10	4
11	7
12	6
13	7
14	7
15	7
16	7
17	10
18	11
19	11
20	11
21	11
22	11
23	13
24	13
25	13
26	13
27	13
28	13
29	17
30	17
31	17
32	17
33	17
34	17
35	17
36	17
37	19
38	19
39	19
40	19
41	23
42	23
43	23
44	23
45	23
46	23
47	29
48	29
49	29
50	29
51	29
52	29
53	29
54	29
55	29
56	29
57	29
58	29
59	31
60	31
61	31
62	31
63	31
64	31
65	31
66	31
67	37
68	37

[2, 2, 2, 2, 3, 4, 3, 3, 4, 7, 6, 7, 7, 7, 7, 10, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 17, 17, 17, 19, 19, 19, 19, 23, 23, 23, 23, 23, 23, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 31, 31, 31, 31, 31, 31, 31, 31, 37, 37]

cp's OEIS Frontend

A265626 Let S be the set of factorizations of n! where the largest factor is the largest prime <= n, and let f(s) be the least factor in the factorization s. Then a(n) = max f(S).

Table of values

List of values

n	a(n)
2	2
3	2
4	2
5	2
6	3
7	4
8	3
9	3
10	4
11	7
12	6
13	7
14	7
15	7
16	7
17	10
18	11
19	11
20	11
21	11
22	11
23	13
24	13
25	13
26	13
27	13
28	13
29	17
30	17
31	17
32	17
33	17
34	17
35	17
36	17
37	19
38	19
39	19
40	19
41	23
42	23
43	23
44	23
45	23
46	23
47	29
48	29
49	29
50	29
51	29
52	29
53	29
54	29
55	29
56	29
57	29
58	29
59	31
60	31
61	31
62	31
63	31
64	31
65	31
66	31
67	37
68	37

n	a(n)
2	2
3	2
4	2
5	2
6	3
7	4
8	3
9	3
10	4
11	7
12	6
13	7
14	7
15	7
16	7
17	10
18	11
19	11
20	11
21	11
22	11
23	13
24	13
25	13
26	13
27	13
28	13
29	17
30	17
31	17
32	17
33	17
34	17
35	17
36	17
37	19
38	19
39	19
40	19
41	23
42	23
43	23
44	23
45	23
46	23
47	29
48	29
49	29
50	29
51	29
52	29
53	29
54	29
55	29
56	29
57	29
58	29
59	31
60	31
61	31
62	31
63	31
64	31
65	31
66	31
67	37
68	37

n	a(n)
2	2
3	2
4	2
5	2
6	3
7	4
8	3
9	3
10	4
11	7
12	6
13	7
14	7
15	7
16	7
17	10
18	11
19	11
20	11
21	11
22	11
23	13
24	13
25	13
26	13
27	13
28	13
29	17
30	17
31	17
32	17
33	17
34	17
35	17
36	17
37	19
38	19
39	19
40	19
41	23
42	23
43	23
44	23
45	23
46	23
47	29
48	29
49	29
50	29
51	29
52	29
53	29
54	29
55	29
56	29
57	29
58	29
59	31
60	31
61	31
62	31
63	31
64	31
65	31
66	31
67	37
68	37