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Difference between revisions of "Template:Reuse Primelist"
(corr.) |
(extended by using +/- for n-values) |
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| Line 1: | Line 1: | ||
<noinclude> | <noinclude> | ||
==Purpose== | ==Purpose== | ||
| − | Prints members of primes of another given prime list for a different base. | + | Prints members of primes of another given prime list for a different base or {{Vn}}-value. |
==Calling== | ==Calling== | ||
<pre> | <pre> | ||
| − | {{Reuse Primelist|<prime numbers>|<list>|< | + | {{Reuse Primelist|<prime numbers>|<list>|<value>}} |
</pre> | </pre> | ||
| + | *<value> has different meanings: | ||
| + | :- <value> only a number: {{Vn}}-values of given list divided by <value> | ||
| + | :- <value> number with leading sign (+/-): {{Vn}}-values of given list are added/substracted by <value> and greater 0 | ||
| + | |||
| + | *Exapmle | ||
| + | :- <value> = 2 -> {{Vn}}-value div 2 | ||
| + | :- <value> = +2 -> {{Vn}}-value + 2 | ||
| + | :- <value> = -2 -> {{Vn}}-value - 2 | ||
==Example== | ==Example== | ||
For Riesel primes of the form {{Kbn|3|n}} | For Riesel primes of the form {{Kbn|3|n}} | ||
| − | |||
:{{NVal list|{{GP|Riesel prime 2 3|RNlist}}|short}} | :{{NVal list|{{GP|Riesel prime 2 3|RNlist}}|short}} | ||
| − | |||
and setting 'divider' = 2 results in: | and setting 'divider' = 2 results in: | ||
:{{Reuse Primelist|Riesel prime 2 3|RNlist|2}} | :{{Reuse Primelist|Riesel prime 2 3|RNlist|2}} | ||
| + | which are the primes of the form {{Kbn|3|4|n}} ({{Vn}}-values divided by 2 resulting in an integer) by calling | ||
| + | <pre> | ||
| + | {{Reuse Primelist|Riesel prime 2 3|RNlist|2}} | ||
| + | </pre> | ||
| − | + | Same list above by calling (note there's no value '0' here) | |
<pre> | <pre> | ||
| − | {{Reuse Primelist|Riesel prime 2 3|RNlist|2}} | + | {{Reuse Primelist|Riesel prime 2 3|RNlist|-1}} |
| + | </pre> | ||
| + | :{{Reuse Primelist|Riesel prime 2 3|RNlist|-1}} | ||
| + | |||
| + | and by calling | ||
| + | <pre> | ||
| + | {{Reuse Primelist|Riesel prime 2 3|RNlist|+1}} | ||
</pre> | </pre> | ||
| + | :{{Reuse Primelist|Riesel prime 2 3|RNlist|+1}} | ||
[[Category:Prime collections]]</noinclude><includeonly>{{#arraydefine:A|{{GP|{{{1}}}|{{{2}}}}}|/\n/}}{{#sub:{{#loop: i | [[Category:Prime collections]]</noinclude><includeonly>{{#arraydefine:A|{{GP|{{{1}}}|{{{2}}}}}|/\n/}}{{#sub:{{#loop: i | ||
| 0 | | 0 | ||
| {{#arraysize:A}} | | {{#arraysize:A}} | ||
| − | | {{#vardefine:v|{{#arrayindex:A|{{#var:i}}}}}}{{#vardefine:An|{{#sub:{{#var:v}}|0|{{#pos:{{#var:v}}|;}}}}}}{{#ifexpr:{{#var:An}} mod {{{3}}}||, {{#expr:{{#var:An}}/{{{3}}}}}}} | + | | {{#vardefine:v|{{#arrayindex:A|{{#var:i}}}}}}{{#vardefine:An|{{#sub:{{#var:v}}|0|{{#pos:{{#var:v}}|;}}}}}}{{#switch:{{#sub:{{{3}}}|0|1}} |
| − | }}|2}}</includeonly> | + | |0|1|2|3|4|5|6|7|8|9={{#ifexpr:{{#var:An}} mod {{{3}}}||, {{#expr:{{#var:An}}/{{{3}}}}}}} |
| + | |+=, {{#expr:{{#var:An}}{{{3}}}}} | ||
| + | |-={{#ifexpr:{{#var:An}}{{{3}}}>0|, {{#expr:{{#var:An}}{{{3}}}}}|}} | ||
| + | }}}}|2}}</includeonly> | ||
Latest revision as of 14:16, 1 September 2024
Purpose
Prints members of primes of another given prime list for a different base or n-value.
Calling
{{Reuse Primelist|<prime numbers>|<list>|<value>}}
- <value> has different meanings:
- - <value> only a number: n-values of given list divided by <value>
- - <value> number with leading sign (+/-): n-values of given list are added/substracted by <value> and greater 0
- Exapmle
- - <value> = 2 -> n-value div 2
- - <value> = +2 -> n-value + 2
- - <value> = -2 -> n-value - 2
Example
For Riesel primes of the form 3•2n-1
- 1, 2, 3, 4, 6, 7, 11, 18, 34, 38, 43, 55, 64, 76, 94, 103, 143, 206, 216, 306, 324, 391, 458, 470, 827, 1274, 3276, 4204, 5134, 7559, 12676, 14898, 18123, 18819, 25690, 26459, 41628, 51387, 71783, 80330, 85687, 88171, 97063, 123630, 155930, 164987, 234760, 414840, 584995, 702038, 727699, 992700, 1201046, 1232255, 2312734, 3136255, 4235414, 6090515, 11484018, 11731850, 11895718, 16819291, 17748034, 18196595, 18924988, 20928756, 22103376
and setting 'divider' = 2 results in:
- 1, 2, 3, 9, 17, 19, 32, 38, 47, 103, 108, 153, 162, 229, 235, 637, 1638, 2102, 2567, 6338, 7449, 12845, 20814, 40165, 61815, 77965, 117380, 207420, 351019, 496350, 600523, 1156367, 2117707, 5742009, 5865925, 5947859, 8874017, 9462494, 10464378, 11051688
which are the primes of the form 3•4n-1 (n-values divided by 2 resulting in an integer) by calling
{{Reuse Primelist|Riesel prime 2 3|RNlist|2}}
Same list above by calling (note there's no value '0' here)
{{Reuse Primelist|Riesel prime 2 3|RNlist|-1}}
- 1, 2, 3, 5, 6, 10, 17, 33, 37, 42, 54, 63, 75, 93, 102, 142, 205, 215, 305, 323, 390, 457, 469, 826, 1273, 3275, 4203, 5133, 7558, 12675, 14897, 18122, 18818, 25689, 26458, 41627, 51386, 71782, 80329, 85686, 88170, 97062, 123629, 155929, 164986, 234759, 414839, 584994, 702037, 727698, 992699, 1201045, 1232254, 2312733, 3136254, 4235413, 6090514, 11484017, 11731849, 11895717, 16819290, 17748033, 18196594, 18924987, 20928755, 22103375
and by calling
{{Reuse Primelist|Riesel prime 2 3|RNlist|+1}}
- 2, 3, 4, 5, 7, 8, 12, 19, 35, 39, 44, 56, 65, 77, 95, 104, 144, 207, 217, 307, 325, 392, 459, 471, 828, 1275, 3277, 4205, 5135, 7560, 12677, 14899, 18124, 18820, 25691, 26460, 41629, 51388, 71784, 80331, 85688, 88172, 97064, 123631, 155931, 164988, 234761, 414841, 584996, 702039, 727700, 992701, 1201047, 1232256, 2312735, 3136256, 4235415, 6090516, 11484019, 11731851, 11895719, 16819292, 17748035, 18196596, 18924989, 20928757, 22103377
