Difference between revisions of "Benchmarks of small admissible tuples"

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Here is a table to fill in the best upper bounds for small admissible tuples (342~5500).  
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Here is a table to fill in the best upper bounds available for small admissible tuples (342~5500).  
  
  
 
== Rules ==
 
== Rules ==
  
Efforts to fill in the blank fields in this table are very welcome.
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Here are the rules for the "Lucky Winner" game:
 +
 
 +
- Efforts to fill in the blank fields in this table are very welcome.
 +
 
 +
- "Winner" for each cell: You might enter each cell with a new tuple with the best upper bound and the abbreviation of your name (Your might append others' if your solution is obtained using others' work. 
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- "Lucky": Your cell will be "bold" if it is picked by an angel, if you are sufficiently lucky. Your cell might be stroked through if the luck is lost (the k0 claim is retracted).
  
 
== Records ==
 
== Records ==
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ZWS: Zhi-Wei Sun
 
ZWS: Zhi-Wei Sun
  
[http://annals.math.princeton.edu/wp-content/uploads/YitangZhang.pdf Yitang Zhang]
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'''[http://annals.math.princeton.edu/wp-content/uploads/YitangZhang.pdf Yitang Zhang]'''

Revision as of 07:57, 20 June 2013

Here is a table to fill in the best upper bounds available for small admissible tuples (342~5500).


Rules

Here are the rules for the "Lucky Winner" game:

- Efforts to fill in the blank fields in this table are very welcome.

- "Winner" for each cell: You might enter each cell with a new tuple with the best upper bound and the abbreviation of your name (Your might append others' if your solution is obtained using others' work.

- "Lucky": Your cell will be "bold" if it is picked by an angel, if you are sufficiently lucky. Your cell might be stroked through if the luck is lost (the k0 claim is retracted).

Records

[math]k_0[/math] 0 1 2 3 4 5 6 7 8 9
6320 - - - - - - - - - 60,726 (XFX-AVS)
5500 - - - - - - - - - -
5540 - - - 51,526 (AVS) - - - - -
3400 - - - - - 30,600 (AVS) - - -

Contributors

AVS: Andrew Sutherland

pedant

Scott Morrison

Wouter Castryck

XFX: xfxie

ZWS: Zhi-Wei Sun

Yitang Zhang