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A386515 a(n) is the largest number of distinct primes in a partition of prime(n) into primes.

Table of values

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

List of values

[1, 1, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15]