A242223 - cp's OEIS frontend

A242223 Least prime p such that H(n) == 0 (mod p) but H(k) == 0 (mod p) for no 0 < k < n, or 1 if such a prime p does not exist, where H(n) denotes the n-th harmonic number sum_{k=1..n}1/k.

n	a(n)
1	1
2	3
3	11
4	5
5	137
6	7
7	1
8	761
9	7129
10	61
11	97
12	13
13	29
14	1049
15	41233
16	17
17	37
18	19
19	7440427
20	11167027
21	18858053
22	23
23	583859
24	577
25	109
26	34395742267
27	521
28	375035183
29	4990290163
30	31
31	2667653736673
32	2917
33	269
34	3583
35	397
36	1297
37	10839223
38	199
39	737281
40	41

[1, 3, 11, 5, 137, 7, 1, 761, 7129, 61, 97, 13, 29, 1049, 41233, 17, 37, 19, 7440427, 11167027, 18858053, 23, 583859, 577, 109, 34395742267, 521, 375035183, 4990290163, 31, 2667653736673, 2917, 269, 3583, 397, 1297, 10839223, 199, 737281, 41]

cp's OEIS Frontend

A242223 Least prime p such that H(n) == 0 (mod p) but H(k) == 0 (mod p) for no 0 < k < n, or 1 if such a prime p does not exist, where H(n) denotes the n-th harmonic number sum_{k=1..n}1/k.

Table of values

List of values