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Difference between revisions of "Riesel problem 2"
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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 | + | 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. |
:<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}} | ||
Line 47: | Line 47: | ||
| [[:Category:Riesel 2 2Intervals19|19]] || {{Num|524288}} || {{Num|1048575}} || 53 || class="color-Done" | 11 || 11 | | [[:Category:Riesel 2 2Intervals19|19]] || {{Num|524288}} || {{Num|1048575}} || 53 || class="color-Done" | 11 || 11 | ||
|- | |- | ||
− | | [[:Category:Riesel 2 2Intervals20|20]] || {{Num|1048576}} || | + | | [[:Category:Riesel 2 2Intervals20|20]] || {{Num|1048576}} || {{Num|2097151}} || 42 || class="color-Done" | 8 || 8 |
|- | |- | ||
− | | [[:Category: | + | | [[:Category:Riesel 2 2Intervals21|21]] || {{Num|2097152}} || {{Num|4194303}} || 34 || class="color-Done" | 6 || 6 |
+ | |- | ||
+ | | [[: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}} || ≤ 22 || {{Num|{{PAGESINCATEGORY:Riesel 2 2Intervals23|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 2Intervals23|pages|R}} | ||
+ | |- | ||
+ | | [[: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}} | ||
|} | |} | ||
− | '''The current {{Vn}}<sub>max</sub> = {{Num|{{Multi Reservation:21-NMax}}}} as of {{Multi Reservation:21-Date}}.''' | + | |
+ | [[: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: | + | [[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.
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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