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Odd prime sum limit: Difference between revisions

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{{Idiosyncratic terms}}
The '''''n''-odd-prime-sum-limit''' (abbreviated '''''n''-OPSL''') is the collection of all just ratios where the no-twos [https://mathworld.wolfram.com/SumofPrimeFactors.html sum of prime factors with repetition] of both the numerator and the denominator does not exceed the integer ''n''.
The '''''n''-odd-prime-sum-limit''' (abbreviated '''''n''-OPSL''') is the collection of all just ratios where the no-twos [https://mathworld.wolfram.com/SumofPrimeFactors.html sum of prime factors with repetition] of both the numerator and the denominator does not exceed the integer ''n''.


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|+
|+
! OPSL
! OPSL
!odd numbers newly
added by each limit
! Smallest Consistent Edo*
! Smallest Consistent Edo*
|-
|-
| 1
| 1
|(none)
| [[1edo|1]]
| [[1edo|1]]
|-
|-
| 2
| 2
|(none)
| 1
| 1
|-
|-
| 3
| 3
|3
| 1
| 1
|-
|-
| 4
| 4
|(none)
| 1
| 1
|-
|-
| 5
| 5
|5
| [[3edo|3]]
| [[3edo|3]]
|-
|-
| 6
| 6
|9
| 3
| 3
|-
|-
| 7
| 7
|7
| [[5edo|5]]
| [[5edo|5]]
|-
|-
| 8
| 8
|15
| [[12edo|12]]
| [[12edo|12]]
|-
|-
| 9
| 9
|27
| 12
| 12
|-
|-
| 10
| 10
|21 and 25
| 12
| 12
|-
|-
| 11
| 11
|11 and 45
| [[31edo|31]]
| [[31edo|31]]
|-
|-
| 12
| 12
|35 and 81
| [[72edo|72]]
| [[72edo|72]]
|-
|-
| 13
| 13
|13, 63 and 75
| 72
| 72
|-
|-
| 14
| 14
|33, 49 and 135
| [[130edo|130]]
| [[130edo|130]]
|-
|-
| 15
| 15
|105, 125 and 243
| [[270edo|270]]
| [[270edo|270]]
|-
|-
| 16
| 16
|39, 55, 189 and 225
| 270
| 270
|-
|-
| 17
| 17
|
| [[954edo|954]]
| [[954edo|954]]
|-
|-
| 18
| 18
|
| [[1236edo|1236]]
| [[1236edo|1236]]
|-
|-
| 19
| 19
|
| [[1578edo|1578]]
| [[1578edo|1578]]
|-
|-
| 20
| 20
|
| 1578
| 1578
|-
|-
| 21
| 21
|
| [[3395edo|3395]]
| [[3395edo|3395]]
|-
|-
| 22
| 22
|
| 3395
| 3395
|-
|-
| 23
| 23
|
| [[6079edo|6079]]
| [[6079edo|6079]]
|-
|-
| 24
| 24
|
| [[8539edo|8539]]
| [[8539edo|8539]]
|-
|-
| 25
| 25
|
| 8539
| 8539
|-
|-
| 26
| 26
|
| 8539
| 8539
|-
|-
| 27
| 27
|
| 8539
| 8539
|-
|-
| 28
| 28
|
| [[102557edo|102557]]
| [[102557edo|102557]]
|-
|-
| 29
| 29
|
| 102557
| 102557
|-
|-
| 30
| 30
|
| 102557
| 102557
|-
|-
| 31
| 31
|
| 102557
| 102557
|-
|-
| 32
| 32
|
| 102557
| 102557
|-
|-
| 33
| 33
|
| [[258008edo|258008]]
| [[258008edo|258008]]
|-
|-
| 34
| 34
|
| 258008
| 258008
|-
|-
| 35
| 35
|
| 258008
| 258008
|-
|-
| 36
| 36
|
| 258008
| 258008
|}
|}
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== Whole-interval OPSL ==
== Whole-interval OPSL ==
The ''n''-whole-interval-OPSL, or '''''n''-WOPSL''', is slightly different from the ''n''-OPSL. This is the collection of all just ratios with a no-twos [[Wilson height]] that does not exceed the integer ''n''. It was confused with the original definition for ''n''-OPSL at the time of this Wiki article's creation, but has since been corrected.
The ''n''-whole-interval-OPSL, or '''''n''-WOPSL''', is slightly different from the ''n''-OPSL. This is the collection of all just ratios with a no-twos [[Wilson height]] that does not exceed the integer ''n''. When using it to measure consistency in the same way as odd limits, lower primes are favored even more strongly than for OPSLs. It was confused with the original definition for ''n''-OPSL (where the numerator and denominator are compared with ''n'' separately) at the time of this Wiki article's creation, but has since been corrected.


=== Comparison between odd-limit and WOPSL ===
=== Comparison between odd-limit and WOPSL ===
Retrieved from "https://en.xen.wiki/w/Odd_prime_sum_limit"