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{{DISPLAYTITLE:The 3rd Riesel Problem}}
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{{DISPLAYTITLE:Riesel problem 3, {{Kbn|-|k|2|n}}, {{Num|762701}} < {{Vk}} < {{Num|777149}}}}
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The '''3rd Riesel problem''' involves determining the smallest [[Riesel number]]s {{Kbn|k|2|n}} for 762701 &lt; {{Vk}} &lt; 777149, the second and third Riesel {{Vk}}-values without any possible primes.
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The '''3rd Riesel problem''' involves determining the smallest [[Riesel number]]s {{Kbn|k|2|n}} for {{Num|762701}} &lt; {{Vk}} &lt; {{Num|777149}}, the second and third Riesel {{Vk}}-values without any possible primes.
  
 
:<div class="color-Done" style="width:4em; display:inline-block;">&nbsp;</div> : completely included in {{SITENAME}}
 
:<div class="color-Done" style="width:4em; display:inline-block;">&nbsp;</div> : completely included in {{SITENAME}}
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| [[:Category:Riesel 2 3Intervals18|18]] || {{Num|262144}} || {{Num|524287}} || 5 || class="color-Done" | 0 || 0
 
| [[:Category:Riesel 2 3Intervals18|18]] || {{Num|262144}} || {{Num|524287}} || 5 || class="color-Done" | 0 || 0
 
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| [[:Category:Riesel 2 3Intervals19|19]] || {{Num|524288}} || {{Num|1048576}} || 5 || {{Num|{{PAGESINCATEGORY:Riesel 2 3Intervals19|R}}}} || &ge; {{PAGESINCATEGORY:Riesel 2 3Intervals19|pages|R}}
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| [[:Category:Riesel 2 3Intervals19|19]] || {{Num|524288}} || {{Num|1048575}} || 5 || class="color-Done" | 1 || 1
 
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| [[:Category:Riesel problem 3rd|unknown]] || {{Num|524288}} || &infin; || {{#expr:{{PAGESINCATEGORY:Riesel problem 3rd|pages|R}}-1}} || class="color-Done" | 0 || {{#expr:{{PAGESINCATEGORY:Riesel problem 3rd|pages|R}}-1}}
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| [[:Category:Riesel 2 3Intervals20|20]] || {{Num|1048576}} || {{Num|2097151}} || 4 || {{Num|{{PAGESINCATEGORY:Riesel 2 3Intervals20|R}}}} || &ge; {{PAGESINCATEGORY:Riesel 2 3Intervals20|pages|R}}
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| [[:Category:Riesel problem 3|unknown]] || {{Num|2097152}} || &infin; || {{#expr:{{PAGESINCATEGORY:Riesel problem 3|pages|R}}-1}} || class="color-Done" | 0 || {{#expr:{{PAGESINCATEGORY:Riesel problem 3|pages|R}}-1}}
 
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[[Category:Riesel prime conjectures|3]]
 
[[Category:Riesel prime conjectures|3]]
 
[[Category:Riesel 2 3Intervals| ]]
 
[[Category:Riesel 2 3Intervals| ]]
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[[Category:Riesel problem 3rd| ]]
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[[Category:Riesel problem 3| ]]

Latest revision as of 18:52, 30 April 2024

The 3rd Riesel problem involves determining the smallest Riesel numbers k•2n-1 for 762,701 < k < 777,149, the second and third Riesel k-values without any possible primes.

 
 : completely included in Prime-Wiki
m nmin nmax remain current target
0 1 1 7,223 0 1,014
1 2 3 6,209 4 1,552
2 4 7 4,657 2 1,746
3 8 15 2,911 4 1,357
4 16 31 1,554 2 803
5 32 63 751 0 380
6 64 127 371 0 168
7 128 255 203 0 88
8 256 511 115 0 50
9 512 1,023 65 2 29
10 1,024 2,047 36 7 7
11 2,048 4,095 29 6 6
12 4,096 8,191 23 6 6
13 8,192 16,383 17 2 2
14 16,384 32,767 15 3 3
15 32,768 65,535 12 2 2
16 65,536 131,071 10 3 3
17 131,072 262,143 7 2 2
18 262,144 524,287 5 0 0
19 524,288 1,048,575 5 1 1
20 1,048,576 2,097,151 4 1 ≥ 1
unknown 2,097,152 ∞ 3 0 3

Multi Reservation 20: The current nmax = 2,000,000 as of 2024-09-06.

Riesel primes
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