A143719 - cp's OEIS frontend

A143719 Let n = Product_{p} p ^ e_p be the prime factorization of n and let M = max{e_p}. Then n is in the sequence iff for all primes q in the range 2 <= q <= M we have e_q >= Sum_{r} floor( log_q (e_r + 1) ).

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

[1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 24, 26, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 51, 52, 53, 55, 57, 58, 59, 61, 62, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 82, 83, 85, 86, 87, 89, 91, 92, 93, 94, 95, 97, 100]

cp's OEIS Frontend

A143719 Let n = Product_{p} p ^ e_p be the prime factorization of n and let M = max{e_p}. Then n is in the sequence iff for all primes q in the range 2 <= q <= M we have e_q >= Sum_{r} floor( log_q (e_r + 1) ).

Table of values

List of values

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

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

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