A302756 - cp's OEIS frontend

A302756 a(n) is the least possible greatest prime in any partition of prime(n) into three primes; n >= 4.

n	a(n)
4	3
5	5
6	5
7	7
8	7
9	11
10	11
11	13
12	13
13	17
14	17
15	17
16	19
17	23
18	23
19	29
20	29
21	31
22	31
23	31
24	31
25	37
26	41
27	37
28	41
29	41
30	41
31	43
32	47
33	47
34	53
35	53
36	61
37	61
38	61
39	61
40	61
41	61
42	61
43	71
44	67
45	71
46	71
47	73
48	79
49	83
50	79
51	83
52	83
53	83
54	89
55	89
56	97
57	97
58	101
59	97
60	101
61	97
62	103
63	103
64	107
65	107
66	107
67	113
68	127
69	127

[3, 5, 5, 7, 7, 11, 11, 13, 13, 17, 17, 17, 19, 23, 23, 29, 29, 31, 31, 31, 31, 37, 41, 37, 41, 41, 41, 43, 47, 47, 53, 53, 61, 61, 61, 61, 61, 61, 61, 71, 67, 71, 71, 73, 79, 83, 79, 83, 83, 83, 89, 89, 97, 97, 101, 97, 101, 97, 103, 103, 107, 107, 107, 113, 127, 127]

cp's OEIS Frontend

A302756 a(n) is the least possible greatest prime in any partition of prime(n) into three primes; n >= 4.

Table of values

List of values

n	a(n)
4	3
5	5
6	5
7	7
8	7
9	11
10	11
11	13
12	13
13	17
14	17
15	17
16	19
17	23
18	23
19	29
20	29
21	31
22	31
23	31
24	31
25	37
26	41
27	37
28	41
29	41
30	41
31	43
32	47
33	47
34	53
35	53
36	61
37	61
38	61
39	61
40	61
41	61
42	61
43	71
44	67
45	71
46	71
47	73
48	79
49	83
50	79
51	83
52	83
53	83
54	89
55	89
56	97
57	97
58	101
59	97
60	101
61	97
62	103
63	103
64	107
65	107
66	107
67	113
68	127
69	127

n	a(n)
4	3
5	5
6	5
7	7
8	7
9	11
10	11
11	13
12	13
13	17
14	17
15	17
16	19
17	23
18	23
19	29
20	29
21	31
22	31
23	31
24	31
25	37
26	41
27	37
28	41
29	41
30	41
31	43
32	47
33	47
34	53
35	53
36	61
37	61
38	61
39	61
40	61
41	61
42	61
43	71
44	67
45	71
46	71
47	73
48	79
49	83
50	79
51	83
52	83
53	83
54	89
55	89
56	97
57	97
58	101
59	97
60	101
61	97
62	103
63	103
64	107
65	107
66	107
67	113
68	127
69	127

n	a(n)
4	3
5	5
6	5
7	7
8	7
9	11
10	11
11	13
12	13
13	17
14	17
15	17
16	19
17	23
18	23
19	29
20	29
21	31
22	31
23	31
24	31
25	37
26	41
27	37
28	41
29	41
30	41
31	43
32	47
33	47
34	53
35	53
36	61
37	61
38	61
39	61
40	61
41	61
42	61
43	71
44	67
45	71
46	71
47	73
48	79
49	83
50	79
51	83
52	83
53	83
54	89
55	89
56	97
57	97
58	101
59	97
60	101
61	97
62	103
63	103
64	107
65	107
66	107
67	113
68	127
69	127