Finding optimal k0 values: Difference between revisions
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{| {| class="wikitable" border=1 style="margin: 1em auto 1em auto;" | {| {| class="wikitable" border=1 style="margin: 1em auto 1em auto;" | ||
|- | |- | ||
!<math>c_{\varpi}</math> !! <math>~c_{\delta}~</math> !! <math>~i~</math> !! <math> | !<math>c_{\varpi}</math> !! <math>~c_{\delta}~</math> !! <math>~i~</math> !! <math>k_0^{*}</math> !! <math>k_0^{opt}</math> !! <math>\varpi</math> !! <math>~\delta~</math> !! <math>~\delta'~</math> !! <math>~A~</math> !! <math>~\kappa_1~</math> !! <math>~\kappa_2~</math> !! <math>~\kappa_3~</math> !! objective | ||
|- | |- | ||
| 348 | | 348 | ||
| 68 | | 68 | ||
| 1 | | 1 | ||
| 5446 | |||
| 5447 | |||
| 2.8733352E-03 | | 2.8733352E-03 | ||
| 1.1670730E-06 | | 1.1670730E-06 | ||
| 1.4955362E-03 | | 1.4955362E-03 | ||
| 2559.258877 | | 2559.258877 | ||
| 5.63E-09 | | 5.63E-09 | ||
| 1.52E-12 | | 1.52E-12 | ||
| Line 23: | Line 23: | ||
| 48 | | 48 | ||
| 2 | | 2 | ||
| 1781 | |||
| 1783 | |||
| 5.9495534E-03 | | 5.9495534E-03 | ||
| 9.8965035E-06 | | 9.8965035E-06 | ||
| 3.7117059E-03 | | 3.7117059E-03 | ||
| 757.8242621 | | 757.8242621 | ||
| 1.58E-07 | | 1.58E-07 | ||
| 3.24E-10 | | 3.24E-10 | ||
| Line 37: | Line 37: | ||
| 33 | | 33 | ||
| 1 | | 1 | ||
| 1465 | |||
| 1466 | |||
| 6.7542244E-03 | | 6.7542244E-03 | ||
| 1.1357314E-05 | | 1.1357314E-05 | ||
| 4.7101572E-03 | | 4.7101572E-03 | ||
| 626.6135921 | | 626.6135921 | ||
| 8.79E-08 | | 8.79E-08 | ||
| 8.57E-11 | | 8.57E-11 | ||
| Line 51: | Line 51: | ||
| 32 | | 32 | ||
| 1 | | 1 | ||
| 1345 | |||
| 1346 | |||
| 7.1398444E-03 | | 7.1398444E-03 | ||
| 1.3180858E-05 | | 1.3180858E-05 | ||
| 5.0540952E-03 | | 5.0540952E-03 | ||
| 577.7849932 | | 577.7849932 | ||
| 1.10E-07 | | 1.10E-07 | ||
| 1.22E-10 | | 1.22E-10 | ||
| Line 65: | Line 65: | ||
| 30 | | 30 | ||
| 1 | | 1 | ||
| 1006 | |||
| 1007 | |||
| 8.6150249E-03 | | 8.6150249E-03 | ||
| 2.1903801E-05 | | 2.1903801E-05 | ||
| 6.4285376E-03 | | 6.4285376E-03 | ||
| 408.9674914 | | 408.9674914 | ||
| 2.30E-07 | | 2.30E-07 | ||
| 3.80E-10 | | 3.80E-10 | ||
| Line 80: | Line 80: | ||
| 30 | | 30 | ||
| 1 | | 1 | ||
| 901 | |||
| 902 | |||
| 9.2518776E-03 | | 9.2518776E-03 | ||
| 2.6573843E-05 | | 2.6573843E-05 | ||
| 7.0318847E-03 | | 7.0318847E-03 | ||
| 359.6376563 | | 359.6376563 | ||
| 3.08E-07 | | 3.08E-07 | ||
| 6.00E-10 | | 6.00E-10 | ||
| Line 94: | Line 94: | ||
| 80/3 | | 80/3 | ||
| 2 | | 2 | ||
| 719 | |||
| 720 | |||
| 1.0699851E-02 | | 1.0699851E-02 | ||
| 5.0521044E-05 | | 5.0521044E-05 | ||
| 8.0398983E-03 | | 8.0398983E-03 | ||
| 260.2624368 | | 260.2624368 | ||
| 1.04E-06 | | 1.04E-06 | ||
| 4.98E-09 | | 4.98E-09 | ||
| Line 108: | Line 108: | ||
| 180/7 | | 180/7 | ||
| 4 | | 4 | ||
| 630 | |||
| 632 | |||
| 1.1639206E-02 | | 1.1639206E-02 | ||
| 9.1536798E-05 | | 9.1536798E-05 | ||
| 8.3866560E-03 | | 8.3866560E-03 | ||
| 194.5246551 | | 194.5246551 | ||
| 3.01E-06 | | 3.01E-06 | ||
| 3.40E-08 | | 3.40E-08 | ||
Revision as of 09:11, 1 September 2013
This is a sub-page for the Polymath8 project "bounded gaps between primes".
Benchmarks
| [math]\displaystyle{ c_{\varpi} }[/math] | [math]\displaystyle{ ~c_{\delta}~ }[/math] | [math]\displaystyle{ ~i~ }[/math] | [math]\displaystyle{ k_0^{*} }[/math] | [math]\displaystyle{ k_0^{opt} }[/math] | [math]\displaystyle{ \varpi }[/math] | [math]\displaystyle{ ~\delta~ }[/math] | [math]\displaystyle{ ~\delta'~ }[/math] | [math]\displaystyle{ ~A~ }[/math] | [math]\displaystyle{ ~\kappa_1~ }[/math] | [math]\displaystyle{ ~\kappa_2~ }[/math] | [math]\displaystyle{ ~\kappa_3~ }[/math] | objective |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 348 | 68 | 1 | 5446 | 5447 | 2.8733352E-03 | 1.1670730E-06 | 1.4955362E-03 | 2559.258877 | 5.63E-09 | 1.52E-12 | 8.54E-11 | -1.1881E-06 |
| 168 | 48 | 2 | 1781 | 1783 | 5.9495534E-03 | 9.8965035E-06 | 3.7117059E-03 | 757.8242621 | 1.58E-07 | 3.24E-10 | 3.65E-09 | -5.9684E-06 |
| 148 | 33 | 1 | 1465 | 1466 | 6.7542244E-03 | 1.1357314E-05 | 4.7101572E-03 | 626.6135921 | 8.79E-08 | 8.57E-11 | 3.63E-09 | -2.2867E-06 |
| 140 | 32 | 1 | 1345 | 1346 | 7.1398444E-03 | 1.3180858E-05 | 5.0540952E-03 | 577.7849932 | 1.10E-07 | 1.22E-10 | 4.75E-09 | -6.7812E-06 |
| 116 | 30 | 1 | 1006 | 1007 | 8.6150249E-03 | 2.1903801E-05 | 6.4285376E-03 | 408.9674914 | 2.30E-07 | 3.80E-10 | 1.17E-08 | -6.2560E-06 |
| 108 | 30 | 1 | 901 | 902 | 9.2518776E-03 | 2.6573843E-05 | 7.0318847E-03 | 359.6376563 | 3.08E-07 | 6.00E-10 | 1.76E-08 | -1.0924E-05 |
| 280/3 | 80/3 | 2 | 719 | 720 | 1.0699851E-02 | 5.0521044E-05 | 8.0398983E-03 | 260.2624368 | 1.04E-06 | 4.98E-09 | 4.33E-08 | -5.5687E-06 |
| 600/7 | 180/7 | 4 | 630 | 632 | 1.1639206E-02 | 9.1536798E-05 | 8.3866560E-03 | 194.5246551 | 3.01E-06 | 3.40E-08 | 9.89E-08 | -5.0940E-06 |
