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Difference between revisions of "PW:Statistics"
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==Countings: Sequences per type== | ==Countings: Sequences per type== | ||
| − | Sequences (per base, | + | Sequences (per base, {{Vk}}-value or individual number) with own page in this Wiki: |
{| class="wikitable" | {| class="wikitable" | ||
!Sequence!!Type!!counting | !Sequence!!Type!!counting | ||
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| [[:Category:Mersenne prime|Mersenne primes]] || number || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Mersenne prime|pages|R}}-2}}}} | | [[:Category:Mersenne prime|Mersenne primes]] || number || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Mersenne prime|pages|R}}-2}}}} | ||
|- | |- | ||
| − | | [[:Category:Riesel prime|Riesel primes {{Kbn|k|2|n}}]] || | + | | [[:Category:Riesel prime|Riesel primes {{Kbn|k|2|n}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Riesel prime|pages|R}}-2}}}} |
|- | |- | ||
| [[:Category:Gen. Riesel prime|Gen. Riesel primes {{Kbn|k|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen. Riesel prime|subcats|R}}}}}} | | [[:Category:Gen. Riesel prime|Gen. Riesel primes {{Kbn|k|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen. Riesel prime|subcats|R}}}}}} | ||
|- | |- | ||
| − | | [[:Category:Proth prime|Proth primes {{Kbn|+|k|2|n}}]] || | + | | [[:Category:Proth prime|Proth primes {{Kbn|+|k|2|n}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Proth prime|pages|R}}-3}}}} |
|- | |- | ||
| [[:Category:Gen. Proth prime|Gen. Proth primes {{Kbn|+|k|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen. Proth prime|subcats|R}}}}}} | | [[:Category:Gen. Proth prime|Gen. Proth primes {{Kbn|+|k|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen. Proth prime|subcats|R}}}}}} | ||
|- | |- | ||
| − | | [[:Category:Carol-Kynea prime|Carol-Kynea primes ( | + | | [[:Category:Carol-Kynea prime|Carol-Kynea primes ({{Vb}}<sup>{{Vn}}</sup>±1)<sup>2</sup>-2]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Carol-Kynea prime|pages|R}}-4}}}} |
|- | |- | ||
| [[:Category:Williams prime MM|Williams primes {{Kbn|(b-1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Williams prime MM|pages|R}}-3}}}} | | [[:Category:Williams prime MM|Williams primes {{Kbn|(b-1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Williams prime MM|pages|R}}-3}}}} | ||
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| [[:Category:Williams prime PP|Williams primes {{Kbn|+|(b+1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Williams prime PP|pages|R}}-3}}}} | | [[:Category:Williams prime PP|Williams primes {{Kbn|+|(b+1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Williams prime PP|pages|R}}-3}}}} | ||
|- | |- | ||
| − | | [[:Category:Leyland prime P|Leyland numbers x<sup>y</sup>+y<sup>x</sup>]] || number || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Leyland prime P|pages|R}}-2}}}} | + | | [[:Category:Leyland prime P|Leyland numbers {{V|x}}<sup>{{V|y}}</sup>+{{V|y}}<sup>{{V|x}}</sup>]] || number || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Leyland prime P|pages|R}}-2}}}} |
|- | |- | ||
| − | | [[:Category:Leyland prime M|Leyland numbers x<sup>y</sup>-y<sup>x</sup>]] || number || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Leyland prime M|pages|R}}}}}} | + | | [[:Category:Leyland prime M|Leyland numbers {{V|x}}<sup>{{V|y}}</sup>-{{V|y}}<sup>{{V|x}}</sup>]] || number || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Leyland prime M|pages|R}}}}}} |
|- | |- | ||
| [[:Category:Gen. Woodall prime|Gen. Woodall primes {{Kbn|n|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen. Woodall prime|pages|R}}-2}}}} | | [[:Category:Gen. Woodall prime|Gen. Woodall primes {{Kbn|n|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen. Woodall prime|pages|R}}-2}}}} | ||
Revision as of 22:48, 13 October 2020
Countings: Sequences per type
Sequences (per base, k-value or individual number) with own page in this Wiki:
| Sequence | Type | counting |
|---|---|---|
| Mersenne primes | number | 52 |
| Riesel primes k•2n-1 | k-value | 0 |
| Gen. Riesel primes k•bn-1 | base | 0 |
| Proth primes k•2n+1 | k-value | 0 |
| Gen. Proth primes k•bn+1 | base | 0 |
| Carol-Kynea primes (bn±1)2-2 | base | 382 |
| Williams primes (b-1)•bn-1 | base | 214 |
| Williams primes (b-1)•bn+1 | base | 189 |
| Williams primes (b+1)•bn-1 | base | 128 |
| Williams primes (b+1)•bn+1 | base | 110 |
| Leyland numbers xy+yx | number | 1,814 |
| Leyland numbers xy-yx | number | 1 |
| Gen. Woodall primes n•bn-1 | base | -2 |
| Near Gen. Woodall primes (n-1)•bn-1 | base | -1 |
| Near Gen. Woodall primes (n+1)•bn-1 | base | -1 |
| Gen. Cullen primes n•bn+1 | base | -2 |
Number classes
| General numbers |
| Special numbers |
|
| Prime numbers |
|
