Odd prime sum limit: Difference between revisions
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{{Idiosyncratic terms|Most of the technical terms on this page, proposed by [[User:Tristanbay|Tristan Bay]].}} | |||
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 | ||
|} | |} | ||