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Difference between revisions of "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 | ||
|- | |- | ||
− | | [[:Category:Mersenne prime|Mersenne primes]] || number || {{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 | + | | [[: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 | + | | [[: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]] || base || {{Num|{{#expr:{{PAGESINCATEGORY:Carol-Kynea prime|pages|R}}-4}}}} | + | | [[: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 || {{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}}}} |
|- | |- | ||
− | | [[:Category:Williams prime MP|Williams primes {{Kbn|+|(b-1)|b|n}}]] || base || {{Num|{{#expr:{{PAGESINCATEGORY:Williams prime MP|pages|R}}-3}}}} | + | | [[:Category:Williams prime MP|Williams primes {{Kbn|+|(b-1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Williams prime MP|pages|R}}-3}}}} |
|- | |- | ||
− | | [[:Category:Williams prime PM|Williams primes {{Kbn|(b+1)|b|n}}]] || base || {{Num|{{#expr:{{PAGESINCATEGORY:Williams prime PM|pages|R}}-3}}}} | + | | [[:Category:Williams prime PM|Williams primes {{Kbn|(b+1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Williams prime PM|pages|R}}-3}}}} |
|- | |- | ||
− | | [[:Category:Williams prime PP|Williams primes {{Kbn|+|(b+1)|b|n}}]] || base || {{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 || {{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 || {{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 | + | | [[: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 | + | | [[:Category:Gen Woodall prime M|Near Gen Woodall primes {{Kbn|(n-1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen Woodall prime M|pages|R}}-1}}}} |
|- | |- | ||
− | | [[:Category:Gen | + | | [[:Category:Gen Woodall prime P|Near Gen Woodall primes {{Kbn|(n+1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen Woodall prime P|pages|R}}-1}}}} |
|- | |- | ||
− | | [[:Category:Gen | + | | [[:Category:Gen Cullen prime|Gen Cullen primes {{Kbn|+|n|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen Cullen prime|pages|R}}-2}}}} |
+ | |- | ||
+ | | [[:Category:Gen Cullen prime M|Near Gen Cullen primes {{Kbn|+|(n-1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen Cullen prime M|pages|R}}-0}}}} | ||
+ | |- | ||
+ | | [[:Category:Gen Cullen prime P|Near Gen Cullen primes {{Kbn|+|(n+1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen Cullen prime P|pages|R}}-0}}}} | ||
|} | |} | ||
+ | {{Navbox NumberClasses}} | ||
[[Category:System]] | [[Category:System]] |
Revision as of 22:12, 5 November 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 | 51 |
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 | 169 |
Williams primes (b-1)•bn+1 | base | 154 |
Williams primes (b+1)•bn-1 | base | 87 |
Williams primes (b+1)•bn+1 | base | 82 |
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 |
Near Gen Cullen primes (n-1)•bn+1 | base | 0 |
Near Gen Cullen primes (n+1)•bn+1 | base | 0 |
Number classes
General numbers |
Special numbers |
Prime numbers |
|