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Difference between revisions of "Riesel problem 3"
(Fixing typo; streamlining interval 17) |
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| [[:Category:Riesel 2 3Intervals9|9]] || 512 || {{Num|1023}} || 65 || {{Num|{{PAGESINCATEGORY:Riesel 2 3Intervals9|pages|R}}}} || 29 | | [[:Category:Riesel 2 3Intervals9|9]] || 512 || {{Num|1023}} || 65 || {{Num|{{PAGESINCATEGORY:Riesel 2 3Intervals9|pages|R}}}} || 29 | ||
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| − | | [[:Category:Riesel 2 3Intervals10|10]] || {{Num|1024}} || {{Num|2047}} || 36 || | + | | [[:Category:Riesel 2 3Intervals10|10]] || {{Num|1024}} || {{Num|2047}} || 36 || class="color-Done" | 7 || 7 |
|- | |- | ||
| − | | [[:Category:Riesel 2 3Intervals11|11]] || {{Num|2048}} || {{Num|4095}} || 29 || | + | | [[:Category:Riesel 2 3Intervals11|11]] || {{Num|2048}} || {{Num|4095}} || 29 || class="color-Done" | 6 || 6 |
|- | |- | ||
| − | | [[:Category:Riesel 2 3Intervals12|12]] || {{Num|4096}} || {{Num|8191}} || 23 || | + | | [[:Category:Riesel 2 3Intervals12|12]] || {{Num|4096}} || {{Num|8191}} || 23 || class="color-Done" | 6 || 6 |
|- | |- | ||
| − | | [[:Category:Riesel 2 3Intervals13|13]] || {{Num|8192}} || {{Num|16383}} || 17 || | + | | [[:Category:Riesel 2 3Intervals13|13]] || {{Num|8192}} || {{Num|16383}} || 17 || class="color-Done" | 2 || 2 |
|- | |- | ||
| − | | [[:Category:Riesel 2 3Intervals14|14]] || {{Num|16384}} || {{Num|32767}} || 15 || | + | | [[:Category:Riesel 2 3Intervals14|14]] || {{Num|16384}} || {{Num|32767}} || 15 || class="color-Done" | 3 || 3 |
|- | |- | ||
| − | | [[:Category:Riesel 2 3Intervals15|15]] || {{Num|32768}} || {{Num|65535}} || 12 || | + | | [[:Category:Riesel 2 3Intervals15|15]] || {{Num|32768}} || {{Num|65535}} || 12 || class="color-Done" | 2 || 2 |
|- | |- | ||
| − | | [[:Category:Riesel 2 3Intervals16|16]] || {{Num|65536}} || {{Num|131071}} || 10 || | + | | [[:Category:Riesel 2 3Intervals16|16]] || {{Num|65536}} || {{Num|131071}} || 10 || class="color-Done" | 3 || 3 |
|- | |- | ||
| [[:Category:Riesel 2 3Intervals17|17]] || {{Num|131072}} || {{Num|262143}} || 7 || class="color-Done" | 2 || 2 | | [[:Category:Riesel 2 3Intervals17|17]] || {{Num|131072}} || {{Num|262143}} || 7 || class="color-Done" | 2 || 2 | ||
Revision as of 18:35, 8 March 2023
The 3rd Riesel problem involves determining the smallest Riesel numbers k•2n-1 for 762701 < k < 777149, 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 | 1,048,576 | 5 | 1 | ≥ 1 |
| unknown | 524,288 | ∞ | -1 | 0 | -1 |
The current nmax = 2,000,000 as of 2024-09-06.
Riesel primes
| Base = 2 : |
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