A330507 - cp's OEIS frontend

A330507 a(n) is the smallest number k having for every prime p <= prime(n) at least one prime partition with least part p, and no such partition having least part > prime(n). If no such k exists then a(n) = 0 (see comments).

n	a(n)
1	2
2	6
3	10
4	18
5	24
6	30
7	51
8	57
9	69
10	60
11	99
12	111
13	123
14	143
15	147
16	159
17	177
18	189
19	201
20	213
21	225
22	245
23	255
24	267
25	291
26	303
27	309
28	321
29	345
30	357
31	381
32	393
33	411
34	427
35	447
36	465
37	471
38	493
39	507
40	519
41	537
42	553
43	573
44	583
45	623
46	621
47	633
48	669
49	681
50	695
51	707
52	729
53	749
54	753
55	783

[2, 6, 10, 18, 24, 30, 51, 57, 69, 60, 99, 111, 123, 143, 147, 159, 177, 189, 201, 213, 225, 245, 255, 267, 291, 303, 309, 321, 345, 357, 381, 393, 411, 427, 447, 465, 471, 493, 507, 519, 537, 553, 573, 583, 623, 621, 633, 669, 681, 695, 707, 729, 749, 753, 783]

cp's OEIS Frontend

A330507 a(n) is the smallest number k having for every prime p <= prime(n) at least one prime partition with least part p, and no such partition having least part > prime(n). If no such k exists then a(n) = 0 (see comments).

Table of values

List of values

n	a(n)
1	2
2	6
3	10
4	18
5	24
6	30
7	51
8	57
9	69
10	60
11	99
12	111
13	123
14	143
15	147
16	159
17	177
18	189
19	201
20	213
21	225
22	245
23	255
24	267
25	291
26	303
27	309
28	321
29	345
30	357
31	381
32	393
33	411
34	427
35	447
36	465
37	471
38	493
39	507
40	519
41	537
42	553
43	573
44	583
45	623
46	621
47	633
48	669
49	681
50	695
51	707
52	729
53	749
54	753
55	783

n	a(n)
1	2
2	6
3	10
4	18
5	24
6	30
7	51
8	57
9	69
10	60
11	99
12	111
13	123
14	143
15	147
16	159
17	177
18	189
19	201
20	213
21	225
22	245
23	255
24	267
25	291
26	303
27	309
28	321
29	345
30	357
31	381
32	393
33	411
34	427
35	447
36	465
37	471
38	493
39	507
40	519
41	537
42	553
43	573
44	583
45	623
46	621
47	633
48	669
49	681
50	695
51	707
52	729
53	749
54	753
55	783

n	a(n)
1	2
2	6
3	10
4	18
5	24
6	30
7	51
8	57
9	69
10	60
11	99
12	111
13	123
14	143
15	147
16	159
17	177
18	189
19	201
20	213
21	225
22	245
23	255
24	267
25	291
26	303
27	309
28	321
29	345
30	357
31	381
32	393
33	411
34	427
35	447
36	465
37	471
38	493
39	507
40	519
41	537
42	553
43	573
44	583
45	623
46	621
47	633
48	669
49	681
50	695
51	707
52	729
53	749
54	753
55	783