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Difference between revisions of "PW:Statistics"

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(no "Gen")
(Gen.Fermat stats.)
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==Countings: Sequences per type==
 
==Countings: Sequences per type==
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Sequences (per base, {{Vk}}-value or individual number) with own page in this Wiki:
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Sequences (per base, {{Vk}}-value or individual number) with own page in this Wiki:{{#vardefine:GF|Generalized Fermat number }}
 
{| class="wikitable"
 
{| class="wikitable"
 
!Sequence!!Type!!counting
 
!Sequence!!Type!!counting
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|-
 
|-
 
| [[:Category:Cullen prime P|Near Cullen primes {{Kbn|+|(n+1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Cullen prime P|pages|R}}-0}}}}
 
| [[:Category:Cullen prime P|Near Cullen primes {{Kbn|+|(n+1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Cullen prime P|pages|R}}-0}}}}
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|-
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| [[:Category:{{#var:GF}}2|Fermat numbers {{V|F}}(2,n)]] || number || style="text-align:right;"|{{#dpl:category={{#var:GF}}2 1|titlematch=Generalized Fermat number 2 1 %|resultsheader=%PAGES%|mode=userformat}}
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|-
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| [[:Category:{{#var:GF}}3|Gen.Fermat numbers {{V|F}}(3,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}3 1|titlematch=Generalized Fermat number 3 1 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}3 2|titlematch=Generalized Fermat number 3 2 %|resultsheader=%PAGES%|mode=userformat}}}}
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|-
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| [[:Category:{{#var:GF}}4|Gen.Fermat numbers {{V|F}}(4,n)]] || number || style="text-align:right;"|{{#dpl:category={{#var:GF}}4 3|titlematch=Generalized Fermat number 4 3 %|resultsheader=%PAGES%|mode=userformat}}
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|-
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| [[:Category:{{#var:GF}}5|Gen.Fermat numbers {{V|F}}(5,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}5 1|titlematch=Generalized Fermat number 5 1 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}5 2|titlematch=Generalized Fermat number 5 2 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}5 3|titlematch=Generalized Fermat number 5 3 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}5 4|titlematch=Generalized Fermat number 5 4 %|resultsheader=%PAGES%|mode=userformat}}}}
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|-
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| [[:Category:{{#var:GF}}6|Gen.Fermat numbers {{V|F}}(6,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}6 1|titlematch=Generalized Fermat number 6 1 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}6 5|titlematch=Generalized Fermat number 6 5 %|resultsheader=%PAGES%|mode=userformat}}}}
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|-
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| [[:Category:{{#var:GF}}7|Gen.Fermat numbers {{V|F}}(7,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}7 1|titlematch=Generalized Fermat number 7 1 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}7 2|titlematch=Generalized Fermat number 7 2 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}7 3|titlematch=Generalized Fermat number 7 3 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}7 4|titlematch=Generalized Fermat number 7 4 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}7 5|titlematch=Generalized Fermat number 7 5 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}7 6|titlematch=Generalized Fermat number 7 6 %|resultsheader=%PAGES%|mode=userformat}}}}
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|-
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| [[:Category:{{#var:GF}}8|Gen.Fermat numbers {{V|F}}(8,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}8 1|titlematch=Generalized Fermat number 8 1 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}8 3|titlematch=Generalized Fermat number 8 3 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}8 5|titlematch=Generalized Fermat number 8 5 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}8 7|titlematch=Generalized Fermat number 8 7 %|resultsheader=%PAGES%|mode=userformat}}}}
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|-
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| [[:Category:{{#var:GF}}9|Gen.Fermat numbers {{V|F}}(9,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}9 2|titlematch=Generalized Fermat number 9 2 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}9 5|titlematch=Generalized Fermat number 9 5 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}9 7|titlematch=Generalized Fermat number 9 7 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}9 8|titlematch=Generalized Fermat number 9 8 %|resultsheader=%PAGES%|mode=userformat}}}}
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|-
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| [[:Category:{{#var:GF}}10|Gen.Fermat numbers {{V|F}}(10,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}10 1|titlematch=Generalized Fermat number 10 1 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}10 3|titlematch=Generalized Fermat number 10 3 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}10 7|titlematch=Generalized Fermat number 10 7 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}10 9|titlematch=Generalized Fermat number 10 9 %|resultsheader=%PAGES%|mode=userformat}}}}
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|-
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| [[:Category:{{#var:GF}}11|Gen.Fermat numbers {{V|F}}(11,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}11 1|titlematch=Generalized Fermat number 11 1 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 2|titlematch=Generalized Fermat number 11 2 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 3|titlematch=Generalized Fermat number 11 3 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 4|titlematch=Generalized Fermat number 11 4 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 5|titlematch=Generalized Fermat number 11 5 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 6|titlematch=Generalized Fermat number 11 6 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 7|titlematch=Generalized Fermat number 11 7 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 8|titlematch=Generalized Fermat number 11 8 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 9|titlematch=Generalized Fermat number 11 9 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}11 10|titlematch=Generalized Fermat number 11 10 %|resultsheader=%PAGES%|mode=userformat}}}}
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|-
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| [[:Category:{{#var:GF}}12|Gen.Fermat numbers {{V|F}}(12,n)]] || number || style="text-align:right;"|{{#expr:{{#dpl:category={{#var:GF}}12 1|titlematch=Generalized Fermat number 12 1 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}12 5|titlematch=Generalized Fermat number 12 5 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}12 7|titlematch=Generalized Fermat number 12 7 %|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category={{#var:GF}}12 11|titlematch=Generalized Fermat number 12 11 %|resultsheader=%PAGES%|mode=userformat}}}}
 
|}
 
|}
 
{{Navbox NumberClasses}}
 
{{Navbox NumberClasses}}
 
[[Category:System]]
 
[[Category:System]]

Revision as of 14:42, 7 September 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 52
Riesel primes k•2n-1 k-value 3,923
Riesel primes k•bn-1, b>2 base 10
Proth primes k•2n+1 k-value 199
Proth primes k•bn+1, b>2 base 10
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
Woodall primes n•bn-1 base 777
Near Woodall primes (n-1)•bn-1 base 4
Near Woodall primes (n+1)•bn-1 base 3
Cullen primes n•bn+1 base 241
Near Cullen primes (n-1)•bn+1 base 1
Near Cullen primes (n+1)•bn+1 base 1
Fermat numbers F(2,n) number 2
Gen.Fermat numbers F(3,n) number 4
Gen.Fermat numbers F(4,n) number 2
Gen.Fermat numbers F(5,n) number 8
Gen.Fermat numbers F(6,n) number 4
Gen.Fermat numbers F(7,n) number 12
Gen.Fermat numbers F(8,n) number 8
Gen.Fermat numbers F(9,n) number 8
Gen.Fermat numbers F(10,n) number 8
Gen.Fermat numbers F(11,n) number 20
Gen.Fermat numbers F(12,n) number 8
Number classes
General numbers
Special numbers
Prime numbers
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