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Difference between revisions of "Riesel problem 4"

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m (typo)
(interval completions & other corections)
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| [[:Category:Riesel 2 4Intervals15|15]] || {{Num|32768}} || {{Num|65535}} || 8 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals15|pages|R}}}} || 3
 
| [[:Category:Riesel 2 4Intervals15|15]] || {{Num|32768}} || {{Num|65535}} || 8 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals15|pages|R}}}} || 3
 
|-
 
|-
| [[:Category:Riesel 2 4Intervals16|16]] || {{Num|65536}} || {{Num|131071}} || 5 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals16|pages|R}}}} || 1
+
| [[: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 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals17|pages|R}}}} || 1
+
| [[: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 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals18|pages|R}}}} || 2
+
| [[:Category:Riesel 2 4Intervals18|18]] || {{Num|262144}} || {{Num|524287}} || 3 || class="color-Done" | 2 || 2
 
|-
 
|-
| [[: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|1048575}} || 1 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals19|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 4Intervals19|pages|R}}
 
|-
 
|-
| [[:Category:Riesel problem 4|unknown]] || {{Num|524288}} || ∞ || {{#expr:{{PAGESINCATEGORY:Riesel problem 4|pages|R}}-1}} || 0 || {{#expr:{{PAGESINCATEGORY:Riesel problem 4|pages|R}}-1}}
+
| [[:Category:Riesel problem 4|unknown]] || {{Num|1048576}} || ∞ || {{#expr:{{PAGESINCATEGORY:Riesel problem 4|pages|R}}-1}} || class="color-Done" | 0 || {{#expr:{{PAGESINCATEGORY:Riesel problem 4|pages|R}}-1}}
 
|}
 
|}
  

Revision as of 13:38, 27 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 1,048,575 1 0 ≥ 0
unknown 1,048,576 1 0 1
Riesel primes