Difference between revisions of "Benchmarks of small admissible tuples"

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Here is a table to fill in the best upper bounds available for small admissible tuples (1~5500).
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This is an obsolete page.
 
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== Rules ==
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Efforts to fill in the blank fields in this table are very welcome. Here are the rules for the "Lucky Winner" game:
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- "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. The result will be qualified for showing in the [http://michaelnielsen.org/polymath1/index.php?title=Bounded_gaps_between_primes main page]. Your cell might be stroked through if the luck is not sustained (i.e., if the k0 claim is retracted).
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Notes:
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- Thomas J Engelsma have calculated upper bounds exactly for k0 up to 342, but he did not provide his tuples. So your contribution will be shown as TJE&<Your Name>, if your provide an optimal tuple.
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== Records ==
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{| border=1
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|-
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!<math>k_0</math> !! 0 !! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 !! 8 !! 9
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|-
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| 6320
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| [http://www.cs.cmu.edu/~xfxie/project/admissible/admissible_6329_60726_14.txt '''60,726'''] (XFX-AVS)
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| 5500
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|5540
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| [http://math.mit.edu/~drew/admissible_5453_51526.txt '''51,526'''] (AVS)
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|3400
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| <strike>[http://math.mit.edu/~drew/admissible_3405_30600.txt '''30,600'''] (AVS)</strike>
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|340
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| [http://math.mit.edu/~drew/admissible_342_2328.txt 342] (TJE&AVS)
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|}
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== Contributors ==
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AVS: Andrew Sutherland
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pedant
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Scott Morrison
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TJE: Thomas J Engelsma
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Wouter Castryck
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XFX: xfxie
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ZWS: Zhi-Wei Sun
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'''[http://annals.math.princeton.edu/wp-content/uploads/YitangZhang.pdf Yitang Zhang]'''
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Latest revision as of 17:30, 20 June 2013

This is an obsolete page.