A383612 - cp's OEIS frontend

A383612 Numbers k such that 2 + val(k!, 2) < p + val(k!, p), where p is the largest prime <= k and val(r, m) is the valuation of r at m.

n	a(n)
1	3
2	5
3	7
4	11
5	13
6	14
7	15
8	17
9	19
10	23
11	29
12	30
13	31
14	37
15	38
16	39
17	41
18	42
19	43
20	44
21	45
22	47
23	53
24	54
25	55
26	59
27	60
28	61
29	62
30	63
31	67
32	71
33	73
34	74
35	75
36	79
37	83
38	84
39	85
40	89
41	90
42	91
43	97
44	98
45	99
46	101
47	102
48	103
49	104
50	105
51	107
52	108
53	109
54	110
55	111
56	113
57	114
58	115
59	127
60	131
61	137
62	138
63	139
64	140
65	141
66	149
67	150

[3, 5, 7, 11, 13, 14, 15, 17, 19, 23, 29, 30, 31, 37, 38, 39, 41, 42, 43, 44, 45, 47, 53, 54, 55, 59, 60, 61, 62, 63, 67, 71, 73, 74, 75, 79, 83, 84, 85, 89, 90, 91, 97, 98, 99, 101, 102, 103, 104, 105, 107, 108, 109, 110, 111, 113, 114, 115, 127, 131, 137, 138, 139, 140, 141, 149, 150]

cp's OEIS Frontend

A383612 Numbers k such that 2 + val(k!, 2) < p + val(k!, p), where p is the largest prime <= k and val(r, m) is the valuation of r at m.

Table of values

List of values

n	a(n)
1	3
2	5
3	7
4	11
5	13
6	14
7	15
8	17
9	19
10	23
11	29
12	30
13	31
14	37
15	38
16	39
17	41
18	42
19	43
20	44
21	45
22	47
23	53
24	54
25	55
26	59
27	60
28	61
29	62
30	63
31	67
32	71
33	73
34	74
35	75
36	79
37	83
38	84
39	85
40	89
41	90
42	91
43	97
44	98
45	99
46	101
47	102
48	103
49	104
50	105
51	107
52	108
53	109
54	110
55	111
56	113
57	114
58	115
59	127
60	131
61	137
62	138
63	139
64	140
65	141
66	149
67	150

n	a(n)
1	3
2	5
3	7
4	11
5	13
6	14
7	15
8	17
9	19
10	23
11	29
12	30
13	31
14	37
15	38
16	39
17	41
18	42
19	43
20	44
21	45
22	47
23	53
24	54
25	55
26	59
27	60
28	61
29	62
30	63
31	67
32	71
33	73
34	74
35	75
36	79
37	83
38	84
39	85
40	89
41	90
42	91
43	97
44	98
45	99
46	101
47	102
48	103
49	104
50	105
51	107
52	108
53	109
54	110
55	111
56	113
57	114
58	115
59	127
60	131
61	137
62	138
63	139
64	140
65	141
66	149
67	150

n	a(n)
1	3
2	5
3	7
4	11
5	13
6	14
7	15
8	17
9	19
10	23
11	29
12	30
13	31
14	37
15	38
16	39
17	41
18	42
19	43
20	44
21	45
22	47
23	53
24	54
25	55
26	59
27	60
28	61
29	62
30	63
31	67
32	71
33	73
34	74
35	75
36	79
37	83
38	84
39	85
40	89
41	90
42	91
43	97
44	98
45	99
46	101
47	102
48	103
49	104
50	105
51	107
52	108
53	109
54	110
55	111
56	113
57	114
58	115
59	127
60	131
61	137
62	138
63	139
64	140
65	141
66	149
67	150