patent val

[Joe Monzo]

A term formerly known as "standard val". See definition below.

. . . . . . . . .
[Gene Ward Smith, Yahoo tuning, message 64645 (Thu Feb 23, 2006 10:28 pm)]

For any positive integer n and prime limit p, the patent val for n and p is defined to be the following:

< n round(n log2(3)) round(n log2(5)) ... round(n log2(p) |

Here "round" means the function rounding to the nearest integer, also called the nint function, and written round(x), nint(x), [x] or ||x|| for a real number x.

. . . . . . . . .
[Gene Ward Smith, Yahoo tuning, message 70967 (Wed Apr 4, 2007 10:41 pm)]

Below are some examples of patent vals:

```<12 19|
<12 19 28|
<12 19 28 34|
<12 19 28 34 42|
<12 19 28 34 42 44|
<12 19 28 34 42 44 49|
<12 19 28 34 42 44 49 51|
<12 19 28 34 42 44 49 51 54|
<12 19 28 34 42 44 49 51 54 58|

<1 2 2 3|
<2 3 5 6 7 7 8 8 9 10|
<3 5 7|
<4 6 9 11 14|
<31 49 72 87 107|
<64 101 149 180|
<311 493 722 873 1076 1151 1271 1321 1407 1511 1541 1620 1666|
<46032 72959 106883|
```
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