43-good ets

If we define an n-good val to be one which has a logflat badness less
than one for some odd number from 3 to n, then below is a list of
43-good standard vals less than 1000:

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 15, 17, 19, 22, 24, 26, 27, 29, 31, 34,
41, 46, 50, 53, 58, 62, 65, 68, 72, 80, 87, 94, 99, 106, 111, 118,
121, 130, 140, 149, 152, 159, 171, 181, 193, 202, 217, 224, 270, 282,
289, 306, 311, 320, 342, 359, 364, 388, 400, 422, 436, 441, 460, 494,
559, 581, 612, 665, 684, 730, 742, 764, 836

It will surprise no one to learn that 311 is the winner in terms of
odd limits it has a logflat badness under one for; it does that for
all 15 odd integers from 13 to 41. Second is 2; but for a real et, we
have third place taken by 31, with nine such values, and fourth place
taken by 422, with eight. For seven, 7 and 388 are tied. For six, 282;
and for five, a three-way tie between 12, 111, and 270.

Here is a listing of ets which qualify for at least one value. Note
that 106 makes it in contortedly only.

1: [3, 5, 7]
2: [3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23]
3: [3, 5, 7]
4: [5, 7]
5: [3, 5, 7, 9]
6: [7]
7: [3, 5, 11, 13, 19, 21, 23]
9: [7, 13, 15]
10: [7, 13, 15, 17]
12: [3, 5, 7, 9, 11]
15: [5, 7]
17: [3]
19: [5, 7, 9, 43]
22: [7, 9, 11]
24: [3]
26: [13]
27: [7]
29: [13, 15]
31: [5, 7, 9, 11, 17, 19, 21, 23, 25]
34: [5]
41: [3, 7, 9, 11]
46: [11, 13, 17]
50: [19]
53: [3, 5]
58: [11, 13, 15, 17]
62: [23]
65: [5]
68: [7]
72: [7, 9, 11, 17]
80: [19]
87: [43]
94: [17, 19, 21, 23]
99: [7, 9]
106: [3]
111: [13, 15, 17, 19, 21]
118: [5, 11]
121: [17, 19]
130: [7, 13, 15]
140: [7]
149: [23, 25]
152: [11]
159: [23, 25, 27, 29]
171: [5, 7, 9]
181: [23]
193: [23]
202: [7]
217: [31, 33, 35]
224: [13, 15]
270: [7, 9, 11, 13, 15]
282: [23, 25, 27, 29, 31, 33]
289: [5]
306: [3]
311: [13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41]
320: [19]
342: [7, 9, 11]
359: [3]
364: [19]
388: [29, 31, 33, 35, 37, 39, 41]
400: [19, 21]
422: [19, 23, 25, 27, 29, 31, 33, 35]
436: [19, 21, 23]
441: [5, 7, 9]
460: [19]
494: [11, 13, 15]
559: [5]
581: [19, 21]
612: [5, 7, 9, 11]
665: [3]
684: [13]
730: [5]
742: [19, 21]
764: [11, 17]
836: [11]