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Difference between revisions of "Riesel problem 4"
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− | {{DISPLAYTITLE: | + | {{DISPLAYTITLE:Riesel problem 4, {{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}} | ||
Line 27: | Line 27: | ||
| [[:Category:Riesel 2 4Intervals9|9]] || 512 || {{Num|1023}} || 77 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals9|pages|R}}}} || 37 | | [[:Category:Riesel 2 4Intervals9|9]] || 512 || {{Num|1023}} || 77 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals9|pages|R}}}} || 37 | ||
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals10|10]] || {{Num|1024}} || {{Num|2047}} || 40 || | + | | [[:Category:Riesel 2 4Intervals10|10]] || {{Num|1024}} || {{Num|2047}} || 40 || class="color-Done" | 11 || 11 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals11|11]] || {{Num|2048}} || {{Num|4095}} || 29 || | + | | [[:Category:Riesel 2 4Intervals11|11]] || {{Num|2048}} || {{Num|4095}} || 29 || class="color-Done" | 12 || 12 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals12|12]] || {{Num|4096}} || {{Num|8191}} || 17 || | + | | [[:Category:Riesel 2 4Intervals12|12]] || {{Num|4096}} || {{Num|8191}} || 17 || class="color-Done" | 5 || 5 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals13|13]] || {{Num|8192}} || {{Num|16383}} || 12 || | + | | [[:Category:Riesel 2 4Intervals13|13]] || {{Num|8192}} || {{Num|16383}} || 12 || class="color-Done" | 2 || 2 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals14|14]] || {{Num|16384}} || {{Num|32767}} || 10 || | + | | [[:Category:Riesel 2 4Intervals14|14]] || {{Num|16384}} || {{Num|32767}} || 10 || class="color-Done" | 2 || 2 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals15|15]] || {{Num|32768}} || {{Num|65535}} || 8 || | + | | [[:Category:Riesel 2 4Intervals15|15]] || {{Num|32768}} || {{Num|65535}} || 8 || class="color-Done" | 3 || 3 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals16|16]] || {{Num|65536}} || {{Num|131071}} || 5 || | + | | [[:Category:Riesel 2 4Intervals16|16]] || {{Num|65536}} || {{Num|131071}} || 5 || class="color-Done" | 1 || 1 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals17|17]] || {{Num|131072}} || {{Num|262143}} || 4 || | + | | [[:Category:Riesel 2 4Intervals17|17]] || {{Num|131072}} || {{Num|262143}} || 4 || class="color-Done" | 1 || 1 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals18|18]] || {{Num|262144}} || {{Num|524287}} || 3 || | + | | [[:Category:Riesel 2 4Intervals18|18]] || {{Num|262144}} || {{Num|524287}} || 3 || class="color-Done" | 2 || 2 |
|- | |- | ||
− | | [[:Category:Riesel 2 4Intervals19|19]] || {{Num|524288}} || {{Num| | + | | [[:Category:Riesel 2 4Intervals19|19]] || {{Num|524288}} || {{Num|1048575}} || 1 || class="color-Done" | 0 || 0 |
|- | |- | ||
− | | [[:Category:Riesel problem | + | | [[:Category:Riesel 2 4Intervals20|20]] || {{Num|1048576}} || {{Num|2097151}} || 1 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals20|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 4Intervals20|pages|R}} |
+ | |- | ||
+ | | [[:Category:Riesel problem 4|unknown]] || {{Num|2097152}} || ∞ || {{#expr:{{PAGESINCATEGORY:Riesel problem 4|pages|R}}-1}} || class="color-Done" | 0 || {{#expr:{{PAGESINCATEGORY:Riesel problem 4|pages|R}}-1}} | ||
|} | |} | ||
+ | |||
+ | [[:Multi Reservation:23|Multi Reservation 23]]: '''The current {{Vn}}<sub>max</sub> = {{Num|{{Multi Reservation:23-NMax}}}} as of {{Multi Reservation:23-Date}}.''' | ||
{{Navbox Riesel primes}} | {{Navbox Riesel primes}} | ||
[[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| ]] |
Latest revision as of 18:50, 30 April 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.
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 | 1,048,575 | 1 | 0 | 0 |
20 | 1,048,576 | 2,097,151 | 1 | 0 | ≥ 0 |
unknown | 2,097,152 | ∞ | 1 | 0 | 1 |
Multi Reservation 23: The current nmax = 2,000,000 as of 2024-09-06.
Riesel primes
Base = 2 : |
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