A326075 - cp's OEIS frontend

A326075 Difference between the number of prime divisors in a nonstandard factorization process based on the sieve of Eratosthenes vs. their number in the ordinary factorization of n (when counted with multiplicity): a(n) = A253557(n) - A001222(n).

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	0
17	0
18	0
19	0
20	0
21	1
22	0
23	0
24	0
25	0
26	0
27	-1
28	0
29	0
30	0
31	0
32	0
33	1
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	0
48	0
49	0
50	0
51	1
52	0
53	0
54	-1
55	1
56	0
57	1
58	0
59	0
60	0
61	0
62	0
63	-1
64	0
65	0
66	1
67	0
68	0
69	2
70	0
71	0
72	0
73	0
74	0
75	-1
76	0
77	0
78	0
79	0
80	0
81	-1
82	0
83	0
84	1
85	1
86	0
87	1
88	0
89	0
90	1
91	1
92	0
93	3
94	0
95	0
96	0
97	0
98	0
99	-1
100	0
101	0
102	1
103	0
104	0
105	1

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 3, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1]

cp's OEIS Frontend

A326075 Difference between the number of prime divisors in a nonstandard factorization process based on the sieve of Eratosthenes vs. their number in the ordinary factorization of n (when counted with multiplicity): a(n) = A253557(n) - A001222(n).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	0
17	0
18	0
19	0
20	0
21	1
22	0
23	0
24	0
25	0
26	0
27	-1
28	0
29	0
30	0
31	0
32	0
33	1
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	0
48	0
49	0
50	0
51	1
52	0
53	0
54	-1
55	1
56	0
57	1
58	0
59	0
60	0
61	0
62	0
63	-1
64	0
65	0
66	1
67	0
68	0
69	2
70	0
71	0
72	0
73	0
74	0
75	-1
76	0
77	0
78	0
79	0
80	0
81	-1
82	0
83	0
84	1
85	1
86	0
87	1
88	0
89	0
90	1
91	1
92	0
93	3
94	0
95	0
96	0
97	0
98	0
99	-1
100	0
101	0
102	1
103	0
104	0
105	1

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	0
17	0
18	0
19	0
20	0
21	1
22	0
23	0
24	0
25	0
26	0
27	-1
28	0
29	0
30	0
31	0
32	0
33	1
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	0
48	0
49	0
50	0
51	1
52	0
53	0
54	-1
55	1
56	0
57	1
58	0
59	0
60	0
61	0
62	0
63	-1
64	0
65	0
66	1
67	0
68	0
69	2
70	0
71	0
72	0
73	0
74	0
75	-1
76	0
77	0
78	0
79	0
80	0
81	-1
82	0
83	0
84	1
85	1
86	0
87	1
88	0
89	0
90	1
91	1
92	0
93	3
94	0
95	0
96	0
97	0
98	0
99	-1
100	0
101	0
102	1
103	0
104	0
105	1

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	0
17	0
18	0
19	0
20	0
21	1
22	0
23	0
24	0
25	0
26	0
27	-1
28	0
29	0
30	0
31	0
32	0
33	1
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	0
42	1
43	0
44	0
45	1
46	0
47	0
48	0
49	0
50	0
51	1
52	0
53	0
54	-1
55	1
56	0
57	1
58	0
59	0
60	0
61	0
62	0
63	-1
64	0
65	0
66	1
67	0
68	0
69	2
70	0
71	0
72	0
73	0
74	0
75	-1
76	0
77	0
78	0
79	0
80	0
81	-1
82	0
83	0
84	1
85	1
86	0
87	1
88	0
89	0
90	1
91	1
92	0
93	3
94	0
95	0
96	0
97	0
98	0
99	-1
100	0
101	0
102	1
103	0
104	0
105	1