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Difference between revisions of "Riesel problem 4"
m (Karbon moved page Riesel problem 4th to Riesel problem 4 without leaving a redirect: renaming) |
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| − | {{DISPLAYTITLE: | + | {{DISPLAYTITLE:Riesel problem 2, {{Kbn|-|k|2|n}}, {{Num|777149}} < {{Vk}} < {{Num|790841}}}} |
| − | The '''4th Riesel problem''' involves determining the smallest [[Riesel number]]s {{Kbn|k|2|n}} for 777149 < {{Vk}} < 790841, the third and fourth Riesel {{Vk}}-values without any possible primes. | + | The '''4th Riesel problem''' involves determining the smallest [[Riesel number]]s {{Kbn|k|2|n}} for {{Num|777149}} < {{Vk}} < {{Num|790841}}, the third and fourth Riesel {{Vk}}-values without any possible primes. |
:<div class="color-Done" style="width:4em; display:inline-block;"> </div> : completely included in {{SITENAME}} | :<div class="color-Done" style="width:4em; display:inline-block;"> </div> : completely included in {{SITENAME}} | ||
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| [[:Category:Riesel 2 4Intervals19|19]] || {{Num|524288}} || {{Num|1048576}} || 1 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals19|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 4Intervals19|pages|R}} | | [[:Category:Riesel 2 4Intervals19|19]] || {{Num|524288}} || {{Num|1048576}} || 1 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals19|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 4Intervals19|pages|R}} | ||
|- | |- | ||
| − | | [[:Category:Riesel problem | + | | [[:Category:Riesel problem 4|unknown]] || {{Num|524288}} || ∞ || {{#expr:{{PAGESINCATEGORY:Riesel problem 4|pages|R}}-1}} || 0 || {{#expr:{{PAGESINCATEGORY:Riesel problem 4|pages|R}}-1}} |
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[[Category:Riesel prime conjectures|4]] | [[Category:Riesel prime conjectures|4]] | ||
[[Category:Riesel 2 4Intervals| ]] | [[Category:Riesel 2 4Intervals| ]] | ||
| − | [[Category:Riesel problem | + | [[Category:Riesel problem 4| ]] |
Revision as of 08:19, 25 March 2024
The 4th Riesel problem involves determining the smallest Riesel numbers k•2n-1 for 777,149 < k < 790,841, the third and fourth Riesel k-values without any possible primes.
- : completely included in Prime-Wiki
| m | nmin | nmax | remain | current | target |
|---|---|---|---|---|---|
| 0 | 1 | 1 | 6,845 | 0 | 957 |
| 1 | 2 | 3 | 5,888 | 1 | 1,472 |
| 2 | 4 | 7 | 4,416 | 2 | 1,648 |
| 3 | 8 | 15 | 2,768 | 3 | 1,276 |
| 4 | 16 | 31 | 1,492 | 2 | 769 |
| 5 | 32 | 63 | 723 | 0 | 352 |
| 6 | 64 | 127 | 371 | 0 | 171 |
| 7 | 128 | 255 | 200 | 0 | 84 |
| 8 | 256 | 511 | 116 | 0 | 39 |
| 9 | 512 | 1,023 | 77 | 0 | 37 |
| 10 | 1,024 | 2,047 | 40 | 11 | 11 |
| 11 | 2,048 | 4,095 | 29 | 12 | 12 |
| 12 | 4,096 | 8,191 | 17 | 5 | 5 |
| 13 | 8,192 | 16,383 | 12 | 2 | 2 |
| 14 | 16,384 | 32,767 | 10 | 2 | 2 |
| 15 | 32,768 | 65,535 | 8 | 3 | 3 |
| 16 | 65,536 | 131,071 | 5 | 1 | 1 |
| 17 | 131,072 | 262,143 | 4 | 1 | 1 |
| 18 | 262,144 | 524,287 | 3 | 2 | 2 |
| 19 | 524,288 | 1,048,576 | 1 | 0 | ≥ 0 |
| unknown | 524,288 | ∞ | 1 | 0 | 1 |
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