Minimum monotone vals

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Revision as of 04:00, 28 March 2026 by Overthink (talk | contribs) (cleanup)
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This page lists the earliest generalized patent val, written with wart notation, that achieves diamond monotone in each odd limit from 1 to 127. Warts for primes above 101 use capital letters; for example, the wart for prime 103 is "A", and the wart for prime 107 is "B".

Odd limit Val
1-odd-limit 1
3-odd-limit 1
5-odd-limit 2
7-odd-limit 4
9-odd-limit 5
11-odd-limit 12
13-odd-limit 14c
15-odd-limit 17c
17-odd-limit 19
19-odd-limit 34dh
21-odd-limit 41
23-odd-limit 53e
25-odd-limit 62
27-odd-limit 68e
29-odd-limit 72
31-odd-limit 99efk
33-odd-limit 130
35-odd-limit 140
37-odd-limit 152fgj
39-odd-limit 152fgj
41-odd-limit 224
43-odd-limit 236dghin
45-odd-limit 236dghin
47-odd-limit 270i
49-odd-limit 270i
51-odd-limit 270i
53-odd-limit 328hjm
55-odd-limit 400i
57-odd-limit 400i
59-odd-limit 571
61-odd-limit 581j
63-odd-limit 581jk
65-odd-limit 581jk
67-odd-limit 581jks
69-odd-limit 581jks
71-odd-limit 581jks
73-odd-limit 742i
75-odd-limit 867lnu
77-odd-limit 867lnu
79-odd-limit 867lnu
81-odd-limit 1106
83-odd-limit 1205glt
85-odd-limit 1205glt
87-odd-limit 1205glt
89-odd-limit 1395
91-odd-limit 1448
93-odd-limit 1448
95-odd-limit 1448
97-odd-limit 1718ps
99-odd-limit 1718ps
101-odd-limit 1966
103-odd-limit 2072
105-odd-limit 2072
107-odd-limit 2159
109-odd-limit 2460mrsw
111-odd-limit 2460mrsw
113-odd-limit 2460msw
115-odd-limit 2460msw
117-odd-limit 2460msw
119-odd-limit 2730
121-odd-limit 3084oruD
123-odd-limit 3084oruD
125-odd-limit 3768goqvxAC
127-odd-limit 3768goqvxAC

The last entry, the 3768goqvxAC val, is also the first to be diamond monotone in the 129-odd-limit.