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Difference between revisions of "Riesel problem 2"
m (Karbon moved page Riesel problem 2nd to Riesel problem 2 without leaving a redirect: renaming) |
m (standardize appearance of multi reservation on all Riesel problems) |
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| − | {{DISPLAYTITLE: | + | {{DISPLAYTITLE:Riesel problem 2, {{Kbn|-|k|2|n}}, {{Num|509203}} < {{Vk}} < {{Num|762701}}}} |
The '''2nd Riesel problem''' involves determining the smallest [[Riesel number]]s {{Kbn|k|2|n}} for 509203 < {{Vk}} < 762701, the first and second Riesel {{Vk}}-values without any possible primes. | The '''2nd Riesel problem''' involves determining the smallest [[Riesel number]]s {{Kbn|k|2|n}} for 509203 < {{Vk}} < 762701, the first and second Riesel {{Vk}}-values without any possible primes. | ||
| Line 53: | Line 53: | ||
| [[:Category:Riesel 2 2Intervals22|22]] || {{Num|4194304}} || {{Num|8388607}} || 28 || {{Num|{{PAGESINCATEGORY:Riesel 2 2Intervals22|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 2Intervals22|pages|R}} | | [[:Category:Riesel 2 2Intervals22|22]] || {{Num|4194304}} || {{Num|8388607}} || 28 || {{Num|{{PAGESINCATEGORY:Riesel 2 2Intervals22|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 2Intervals22|pages|R}} | ||
|- | |- | ||
| − | | [[:Category:Riesel 2 2Intervals23|23]] || {{Num|8388608}} || {{Num|16777215}} || | + | | [[:Category:Riesel 2 2Intervals23|23]] || {{Num|8388608}} || {{Num|16777215}} || ≤ 22 || {{Num|{{PAGESINCATEGORY:Riesel 2 2Intervals23|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 2Intervals23|pages|R}} |
|- | |- | ||
| − | | [[:Category: | + | | [[:Category:Riesel problem 2|unknown]] || {{Num|16777216}} || ∞ || {{#expr:{{PAGESINCATEGORY:Riesel problem 2|pages|R}}-2}} || class="color-Done" | 0 || {{#expr:{{PAGESINCATEGORY:Riesel problem 2|pages|R}}-2}} |
|} | |} | ||
| − | + | [[:Multi Reservation:21|Multi Reservation 21]]: '''The current {{Vn}}<sub>max</sub> = {{Num|{{Multi Reservation:21-NMax}}}} as of {{Multi Reservation:21-Date}}.''' | |
{{Navbox Riesel primes}} | {{Navbox Riesel primes}} | ||
[[Category:Riesel prime conjectures|2]] | [[Category:Riesel prime conjectures|2]] | ||
| + | [[Category:Riesel 2 2Intervals| ]] | ||
| + | [[Category:Riesel problem 2| ]] | ||
Latest revision as of 06:41, 29 March 2024
The 2nd Riesel problem involves determining the smallest Riesel numbers k•2n-1 for 509203 < k < 762701, the first and second Riesel k-values without any possible primes.
- : completely included in Prime-Wiki
| m | nmin | nmax | remain | current | target |
|---|---|---|---|---|---|
| 0 | 1 | 1 | 126,748 | 17 | 18,050 |
| 1 | 2 | 3 | 108,698 | 26 | 27,596 |
| 2 | 4 | 7 | 81,102 | 36 | 30,503 |
| 3 | 8 | 15 | 50,599 | 45 | 23,785 |
| 4 | 16 | 31 | 26,814 | 17 | 13,631 |
| 5 | 32 | 63 | 13,183 | 2 | 6,613 |
| 6 | 64 | 127 | 6,570 | 1 | 3,108 |
| 7 | 128 | 255 | 3,462 | 0 | 1,485 |
| 8 | 256 | 511 | 1,977 | 0 | 774 |
| 9 | 512 | 1,023 | 1,203 | 1 | 422 |
| 10 | 1,024 | 2,047 | 781 | 0 | 228 |
| 11 | 2,048 | 4,095 | 553 | 0 | 172 |
| 12 | 4,096 | 8,191 | 381 | 110 | 110 |
| 13 | 8,192 | 16,383 | 271 | 66 | 66 |
| 14 | 16,384 | 32,767 | 205 | 68 | 68 |
| 15 | 32,768 | 65,535 | 137 | 29 | 29 |
| 16 | 65,536 | 131,071 | 108 | 26 | 26 |
| 17 | 131,072 | 262,143 | 82 | 13 | 13 |
| 18 | 262,144 | 524,287 | 69 | 16 | 16 |
| 19 | 524,288 | 1,048,575 | 53 | 11 | 11 |
| 20 | 1,048,576 | 2,097,151 | 42 | 8 | 8 |
| 21 | 2,097,152 | 4,194,303 | 34 | 6 | 6 |
| 22 | 4,194,304 | 8,388,607 | 28 | 6 | ≥ 6 |
| 23 | 8,388,608 | 16,777,215 | ≤ 22 | 0 | ≥ 0 |
| unknown | 16,777,216 | ∞ | 22 | 0 | 22 |
Multi Reservation 21: The current nmax = 8,000,000 as of 2024-03-31.
Riesel primes
| Base = 2 : |
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