A093408 - cp's OEIS frontend

A093408 For p = prime(n), the least k such that p is the numerator of a sum 1/k + 1/x1 +...+ 1/xm, where x1,...,xm (for any m) are distinct positive integers < k.

n	a(n)
1	6
2	2
3	3
4	4
5	3
6	4
7	5
8	4
9	5
10	5
11	5
12	6
13	6
14	8
15	5
16	7
17	7
18	5
19	6
20	7
21	8
22	8
23	7
24	7
25	6
26	8
27	7
28	5
29	8
30	8
31	6
32	7
33	5
34	8
35	8
36	10
37	8
38	9
39	9
40	7
41	8
42	10
43	9
44	9
45	10
46	8
47	7
48	7
49	8
50	8
51	10
52	8
53	8
54	9
55	10
56	9
57	8
58	8
59	9
60	9
61	8
62	7
63	9
64	8
65	10
66	7
67	10
68	9
69	10
70	10
71	8
72	9
73	8
74	10
75	9
76	10
77	7
78	9
79	9
80	11
81	10
82	9
83	9
84	10
85	10
86	9
87	10
88	7
89	9
90	9
91	11
92	10
93	9
94	14
95	14

[6, 2, 3, 4, 3, 4, 5, 4, 5, 5, 5, 6, 6, 8, 5, 7, 7, 5, 6, 7, 8, 8, 7, 7, 6, 8, 7, 5, 8, 8, 6, 7, 5, 8, 8, 10, 8, 9, 9, 7, 8, 10, 9, 9, 10, 8, 7, 7, 8, 8, 10, 8, 8, 9, 10, 9, 8, 8, 9, 9, 8, 7, 9, 8, 10, 7, 10, 9, 10, 10, 8, 9, 8, 10, 9, 10, 7, 9, 9, 11, 10, 9, 9, 10, 10, 9, 10, 7, 9, 9, 11, 10, 9, 14, 14]

cp's OEIS Frontend

A093408 For p = prime(n), the least k such that p is the numerator of a sum 1/k + 1/x1 +...+ 1/xm, where x1,...,xm (for any m) are distinct positive integers < k.

Table of values

List of values

n	a(n)
1	6
2	2
3	3
4	4
5	3
6	4
7	5
8	4
9	5
10	5
11	5
12	6
13	6
14	8
15	5
16	7
17	7
18	5
19	6
20	7
21	8
22	8
23	7
24	7
25	6
26	8
27	7
28	5
29	8
30	8
31	6
32	7
33	5
34	8
35	8
36	10
37	8
38	9
39	9
40	7
41	8
42	10
43	9
44	9
45	10
46	8
47	7
48	7
49	8
50	8
51	10
52	8
53	8
54	9
55	10
56	9
57	8
58	8
59	9
60	9
61	8
62	7
63	9
64	8
65	10
66	7
67	10
68	9
69	10
70	10
71	8
72	9
73	8
74	10
75	9
76	10
77	7
78	9
79	9
80	11
81	10
82	9
83	9
84	10
85	10
86	9
87	10
88	7
89	9
90	9
91	11
92	10
93	9
94	14
95	14

n	a(n)
1	6
2	2
3	3
4	4
5	3
6	4
7	5
8	4
9	5
10	5
11	5
12	6
13	6
14	8
15	5
16	7
17	7
18	5
19	6
20	7
21	8
22	8
23	7
24	7
25	6
26	8
27	7
28	5
29	8
30	8
31	6
32	7
33	5
34	8
35	8
36	10
37	8
38	9
39	9
40	7
41	8
42	10
43	9
44	9
45	10
46	8
47	7
48	7
49	8
50	8
51	10
52	8
53	8
54	9
55	10
56	9
57	8
58	8
59	9
60	9
61	8
62	7
63	9
64	8
65	10
66	7
67	10
68	9
69	10
70	10
71	8
72	9
73	8
74	10
75	9
76	10
77	7
78	9
79	9
80	11
81	10
82	9
83	9
84	10
85	10
86	9
87	10
88	7
89	9
90	9
91	11
92	10
93	9
94	14
95	14

n	a(n)
1	6
2	2
3	3
4	4
5	3
6	4
7	5
8	4
9	5
10	5
11	5
12	6
13	6
14	8
15	5
16	7
17	7
18	5
19	6
20	7
21	8
22	8
23	7
24	7
25	6
26	8
27	7
28	5
29	8
30	8
31	6
32	7
33	5
34	8
35	8
36	10
37	8
38	9
39	9
40	7
41	8
42	10
43	9
44	9
45	10
46	8
47	7
48	7
49	8
50	8
51	10
52	8
53	8
54	9
55	10
56	9
57	8
58	8
59	9
60	9
61	8
62	7
63	9
64	8
65	10
66	7
67	10
68	9
69	10
70	10
71	8
72	9
73	8
74	10
75	9
76	10
77	7
78	9
79	9
80	11
81	10
82	9
83	9
84	10
85	10
86	9
87	10
88	7
89	9
90	9
91	11
92	10
93	9
94	14
95	14