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Difference between revisions of "Riesel problem 2"

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!{{V|m}}!!{{Vn}}<sub>min</sub>!!{{Vn}}<sub>max</sub>!!remain!!current!!target
 
!{{V|m}}!!{{Vn}}<sub>min</sub>!!{{Vn}}<sub>max</sub>!!remain!!current!!target
 
|-
 
|-
−
| [[:Category:Riesel prime 2nd f12|12]] || {{Num|4096}} || {{Num|8191}} || ? || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f12|R}}}} || ?
+
| [[:Category:Riesel prime 2nd f0|0]] || 1 || 1 || {{Num|126748}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f0|pages|R}}}} || {{Num|18050}}
 +
|-
 +
| [[:Category:Riesel prime 2nd f1|1]] || 2 || 3 || {{Num|108698}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f1|pages|R}}}} || {{Num|27596}}
 +
|-
 +
| [[:Category:Riesel prime 2nd f2|2]] || 4 || 7 || {{Num|81102}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f2|pages|R}}}} || {{Num|30503}}
 +
|-
 +
| [[:Category:Riesel prime 2nd f3|3]] || 8 || 15 || {{Num|50599}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f3|pages|R}}}} || {{Num|23785}}
 +
|-
 +
| [[:Category:Riesel prime 2nd f4|4]] || 16 || 31 || {{Num|26814}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f4|pages|R}}}} || {{Num|13631}}
 +
|-
 +
| [[:Category:Riesel prime 2nd f5|5]] || 32 || 63 || {{Num|13183}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f5|pages|R}}}} || {{Num|6613}}
 +
|-
 +
| [[:Category:Riesel prime 2nd f6|6]] || 64 || 127 || {{Num|6570}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f6|pages|R}}}} || {{Num|3108}}
 +
|-
 +
| [[:Category:Riesel prime 2nd f7|7]] || 128 || 255 || {{Num|3462}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f7|pages|R}}}} || {{Num|1485}}
 +
|-
 +
| [[:Category:Riesel prime 2nd f8|8]] || 256 || 511 || {{Num|1977}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f8|pages|R}}}} || 774
 +
|-
 +
| [[:Category:Riesel prime 2nd f9|9]] || 512 || {{Num|1023}} || {{Num|1203}} || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f9|pages|R}}}} || 422
 +
|-
 +
| [[:Category:Riesel prime 2nd f10|10]] || {{Num|1024}} || {{Num|2047}} || 781 || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f10|pages|R}}}} || 228
 +
|-
 +
| [[:Category:Riesel prime 2nd f11|11]] || {{Num|2048}} || {{Num|4095}} || 553 || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f11|pages|R}}}} || 172
 +
|-
 +
| [[:Category:Riesel prime 2nd f12|12]] || {{Num|4096}} || {{Num|8191}} || 381 || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f12|R}}}} || 110
 +
|-
 +
| [[:Category:Riesel prime 2nd f13|13]] || {{Num|8192}} || {{Num|16383}} || 271 || style="width:4em; background:PaleGreen; | 66 || 66
 +
|-
 +
| [[:Category:Riesel prime 2nd f14|14]] || {{Num|16384}} || {{Num|32767}} || 205 || style="width:4em; background:PaleGreen; | 68 || 68
 +
|-
 +
| [[:Category:Riesel prime 2nd f15|15]] || {{Num|32768}} || {{Num|65535}} || 137 || style="width:4em; background:PaleGreen; | 29 || 29
 +
|-
 +
| [[:Category:Riesel prime 2nd f16|16]] || {{Num|65536}} || {{Num|131071}} || 108 || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f16|R}}}} || ?
 +
|-
 +
| [[:Category:Riesel prime 2nd f17|17]] || {{Num|131072}} || &infin; || ? || {{Num|{{PAGESINCATEGORY:Riesel prime 2nd f17|R}}}} || ?
 
|}
 
|}
  
 
{{Navbox Riesel primes}}
 
{{Navbox Riesel primes}}
 
[[Category:Math]]
 
[[Category:Math]]

Revision as of 14:23, 12 May 2021

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 0 18,050
1 2 3 108,698 0 27,596
2 4 7 81,102 0 30,503
3 8 15 50,599 0 23,785
4 16 31 26,814 0 13,631
5 32 63 13,183 0 6,613
6 64 127 6,570 0 3,108
7 128 255 3,462 0 1,485
8 256 511 1,977 0 774
9 512 1,023 1,203 0 422
10 1,024 2,047 781 0 228
11 2,048 4,095 553 0 172
12 4,096 8,191 381 0 110
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 0 ?
17 131,072 ∞ ? 0 ?
Riesel primes
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