A346457 - cp's OEIS frontend

A346457 a(n) is the smallest number k such that |Sum_{j=1..k} (-1)^omega(j)| = n, where omega(j) is the number of distinct primes dividing j.

n	a(n)
1	1
2	4
3	5
4	8
5	9
6	32
7	77
8	88
9	93
10	94
11	95
12	96
13	99
14	100
15	119
16	124
17	147
18	148
19	161
20	162
21	189
22	206
23	207
24	208
25	209
26	210
27	213
28	214
29	215
30	216
31	217
32	218
33	219
34	226
35	329
36	330
37	333
38	334
39	335
40	394
41	395
42	416
43	417
44	424
45	425
46	428
47	489
48	514
49	515
50	544
51	545
52	546
53	549
54	554
55	579
56	584
57	723
58	724
59	725
60	800

[1, 4, 5, 8, 9, 32, 77, 88, 93, 94, 95, 96, 99, 100, 119, 124, 147, 148, 161, 162, 189, 206, 207, 208, 209, 210, 213, 214, 215, 216, 217, 218, 219, 226, 329, 330, 333, 334, 335, 394, 395, 416, 417, 424, 425, 428, 489, 514, 515, 544, 545, 546, 549, 554, 579, 584, 723, 724, 725, 800]

cp's OEIS Frontend

A346457 a(n) is the smallest number k such that |Sum_{j=1..k} (-1)^omega(j)| = n, where omega(j) is the number of distinct primes dividing j.

Table of values

List of values

n	a(n)
1	1
2	4
3	5
4	8
5	9
6	32
7	77
8	88
9	93
10	94
11	95
12	96
13	99
14	100
15	119
16	124
17	147
18	148
19	161
20	162
21	189
22	206
23	207
24	208
25	209
26	210
27	213
28	214
29	215
30	216
31	217
32	218
33	219
34	226
35	329
36	330
37	333
38	334
39	335
40	394
41	395
42	416
43	417
44	424
45	425
46	428
47	489
48	514
49	515
50	544
51	545
52	546
53	549
54	554
55	579
56	584
57	723
58	724
59	725
60	800

n	a(n)
1	1
2	4
3	5
4	8
5	9
6	32
7	77
8	88
9	93
10	94
11	95
12	96
13	99
14	100
15	119
16	124
17	147
18	148
19	161
20	162
21	189
22	206
23	207
24	208
25	209
26	210
27	213
28	214
29	215
30	216
31	217
32	218
33	219
34	226
35	329
36	330
37	333
38	334
39	335
40	394
41	395
42	416
43	417
44	424
45	425
46	428
47	489
48	514
49	515
50	544
51	545
52	546
53	549
54	554
55	579
56	584
57	723
58	724
59	725
60	800

n	a(n)
1	1
2	4
3	5
4	8
5	9
6	32
7	77
8	88
9	93
10	94
11	95
12	96
13	99
14	100
15	119
16	124
17	147
18	148
19	161
20	162
21	189
22	206
23	207
24	208
25	209
26	210
27	213
28	214
29	215
30	216
31	217
32	218
33	219
34	226
35	329
36	330
37	333
38	334
39	335
40	394
41	395
42	416
43	417
44	424
45	425
46	428
47	489
48	514
49	515
50	544
51	545
52	546
53	549
54	554
55	579
56	584
57	723
58	724
59	725
60	800