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Difference between revisions of "Riesel problem 4"

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m (add multi reservation info, consistency with other Riesel problems)
(Level 19 finished with no primes)
 
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| [[: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 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals10|pages|R}}}} || 11
+
| [[: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 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals11|pages|R}}}} || 12
+
| [[:Category:Riesel 2 4Intervals11|11]] || {{Num|2048}} || {{Num|4095}} || 29 || class="color-Done" | 12 || 12
 
|-
 
|-
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| [[:Category:Riesel 2 4Intervals12|12]] || {{Num|4096}} || {{Num|8191}} || 17 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals12|pages|R}}}} || 5
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| [[:Category:Riesel 2 4Intervals12|12]] || {{Num|4096}} || {{Num|8191}} || 17 || class="color-Done" | 5 || 5
 
|-
 
|-
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| [[:Category:Riesel 2 4Intervals13|13]] || {{Num|8192}} || {{Num|16383}} || 12 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals13|pages|R}}}} || 2
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| [[:Category:Riesel 2 4Intervals13|13]] || {{Num|8192}} || {{Num|16383}} || 12 || class="color-Done" | 2 || 2
 
|-
 
|-
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| [[:Category:Riesel 2 4Intervals14|14]] || {{Num|16384}} || {{Num|32767}} || 10 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals14|pages|R}}}} || 2
+
| [[:Category:Riesel 2 4Intervals14|14]] || {{Num|16384}} || {{Num|32767}} || 10 || class="color-Done" | 2 || 2
 
|-
 
|-
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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 || class="color-Done" | 3 || 3
 
|-
 
|-
 
| [[:Category:Riesel 2 4Intervals16|16]] || {{Num|65536}} || {{Num|131071}} || 5 || class="color-Done" | 1 || 1
 
| [[:Category:Riesel 2 4Intervals16|16]] || {{Num|65536}} || {{Num|131071}} || 5 || class="color-Done" | 1 || 1
Line 45: Line 45:
 
| [[:Category:Riesel 2 4Intervals18|18]] || {{Num|262144}} || {{Num|524287}} || 3 || class="color-Done" | 2 || 2
 
| [[:Category:Riesel 2 4Intervals18|18]] || {{Num|262144}} || {{Num|524287}} || 3 || class="color-Done" | 2 || 2
 
|-
 
|-
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| [[:Category:Riesel 2 4Intervals19|19]] || {{Num|524288}} || {{Num|1048575}} || 1 || {{Num|{{PAGESINCATEGORY:Riesel 2 4Intervals19|R}}}} || ≥ {{PAGESINCATEGORY:Riesel 2 4Intervals19|pages|R}}
+
| [[:Category:Riesel 2 4Intervals19|19]] || {{Num|524288}} || {{Num|1048575}} || 1 || class="color-Done" | 0 || 0
 
|-
 
|-
−
| [[: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}}
+
| [[: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}}
 
|}
 
|}
  

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.

 
 : 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
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
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