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==Countings: Sequences per type==
 
==Countings: Sequences per type==
Sequences (per base, k-value or individual number) with own page in this Wiki:
+
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}}]] || k-value || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Riesel prime|pages|R}}-2}}}}
+
| [[: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}}]] || k-value || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Proth prime|pages|R}}-3}}}}
+
| [[: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 (b<sup>n</sup>±1)<sup>2</sup>-2]] || base || style="text-align:right;"|{{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 || 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 51
Riesel primes k•2n-1 k-value 0
Gen. Riesel primes kbn-1 base 0
Proth primes k•2n+1 k-value 0
Gen. Proth primes kbn+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 nbn-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 nbn+1 base -2
Number classes
General numbers
Special numbers
Prime numbers