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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}}}}
 
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| [[:Category:Riesel prime|Riesel primes {{Kbn|k|2|n}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Riesel prime|pages|R}}-2}}}}
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| [[:Category:Riesel prime|Riesel primes {{Kbn|k|2|n}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{PAGESINCATEGORY:Riesel 2|pages|R}}}}
 
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| [[:Category:Gen Riesel prime|Gen Riesel primes {{Kbn|k|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Gen Riesel prime|subcats|R}}}}}}
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| [[:Category:Riesel prime|Riesel primes {{Kbn|k|b|n}}]], {{Vb}}>2 || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Riesel prime|subcats|R}}-3}}}}
 
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| [[:Category:Proth 2|Proth primes {{Kbn|+|k|2|n}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{PAGESINCATEGORY:Proth 2|pages|R}}}}
 
| [[:Category:Proth 2|Proth primes {{Kbn|+|k|2|n}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{PAGESINCATEGORY:Proth 2|pages|R}}}}
 
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| [[:Category:Proth prime|Proth primes {{Kbn|+|k|b|n}}]] || base || style="text-align:right;"|{{Num|{{PAGESINCATEGORY:Proth prime|subcats|R}}}}
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| [[:Category:Proth prime|Proth primes {{Kbn|+|k|b|n}}]], {{Vb}}>2 || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Proth prime|subcats|R}}-1}}}}
 
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| [[: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: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}}}}

Revision as of 22:14, 25 July 2021

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 3,837
Riesel primes kbn-1, b>2 base 12
Proth primes k•2n+1 k-value 154
Proth primes kbn+1, b>2 base 6
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
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