Minimum monotone vals: Difference between revisions

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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".
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".


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


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

Revision as of 04:05, 28 March 2026

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

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

Retrieved from "https://en.xen.wiki/index.php?title=Minimum_monotone_vals&oldid=226986"