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1-odd-limit: 1
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".


3-odd-limit: 1
{| class="wikitable"
! 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
|}


5-odd-limit: 2
The last entry, the 3768goqvxAC val, is also the first to be diamond monotone in the 129-odd-limit.
 
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
 
129-odd-limit: 3768goqvxAC
Retrieved from "https://en.xen.wiki/w/Minimum_monotone_vals"