A177442 - cp's OEIS frontend

A177442 Smallest a(n) such that the prime factorization of a(n)! contains at least one factor to each exponent between 1 and n.

n	a(n)
1	2
2	6
3	15
4	22
5	55
6	68
7	85
8	145
9	261
10	296
11	333
12	370
13	492
14	533
15	590
16	885
17	944
18	1005
19	1143
20	1207
21	1278
22	2831
23	2980
24	3048
25	3175
26	3302
27	3429
28	3576
29	3725
30	3874
31	4023
32	4775
33	4966
34	7368
35	7582
36	7805
37	8289
38	8606
39	9036
40	9036
41	9287
42	9599
43	9599
44	9824
45	13902
46	14233

[2, 6, 15, 22, 55, 68, 85, 145, 261, 296, 333, 370, 492, 533, 590, 885, 944, 1005, 1143, 1207, 1278, 2831, 2980, 3048, 3175, 3302, 3429, 3576, 3725, 3874, 4023, 4775, 4966, 7368, 7582, 7805, 8289, 8606, 9036, 9036, 9287, 9599, 9599, 9824, 13902, 14233]

cp's OEIS Frontend

A177442 Smallest a(n) such that the prime factorization of a(n)! contains at least one factor to each exponent between 1 and n.

Table of values

List of values