Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "PW:Statistics"

From Prime-Wiki
Jump to: navigation, search
(Tagging variables)
(Gen.Rep added)
(12 intermediate revisions by the same user not shown)
Line 6: Line 6:
 
| [[: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}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Riesel prime|pages|R}}-2}}}}
+
| [[:Category:Riesel 2|Riesel primes {{Kbn|k|2|n}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{PAGESINCATEGORY:Riesel 2|pages|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:Riesel prime|Riesel primes {{Kbn|k|b|n}}]], {{Vb}}>2 || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Riesel prime|subcats|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:Proth 2|Proth primes {{Kbn|+|k|2|n}}]] || {{Vk}}-value || style="text-align:right;"|{{Num|{{PAGESINCATEGORY:Proth 2|pages|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:Proth prime|Proth primes {{Kbn|+|k|b|n}}]], {{Vb}}>2 || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Proth prime|subcats|R}}-1}}}}
 
|-
 
|-
 
| [[: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}}}}
Line 28: Line 28:
 
| [[: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: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:Woodall prime|Woodall primes {{Kbn|n|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Woodall prime|pages|R}}-3}}}}
 
|-
 
|-
−
| [[: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:Woodall prime M|Near Woodall primes {{Kbn|(n-1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Woodall prime M|pages|R}}-1}}}}
 
|-
 
|-
−
| [[: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:Woodall prime P|Near Woodall primes {{Kbn|(n+1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Woodall prime P|pages|R}}-1}}}}
 
|-
 
|-
−
| [[: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:Cullen prime|Cullen primes {{Kbn|+|n|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Cullen prime|pages|R}}-2}}}}
 +
|-
 +
| [[:Category:Cullen prime M|Near Cullen primes {{Kbn|+|(n-1)|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Cullen prime M|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}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 2|Fermat numbers {{V|F}}(2)]] || number || style="text-align:right;"|{{PAGESINCATEGORY:Generalized Fermat number 2 1 Nums|pages|R}}
 +
|-
 +
| [[:Category:Generalized Fermat number 2|GF Divisors (2)]] || number || style="text-align:right;"|{{PAGESINCATEGORY:Generalized Fermat number 2 1 Divs|pages|R}}
 +
|-
 +
| [[:Category:Generalized Fermat number 3|Gen.Fermat numbers {{V|xGF}}(3)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 3 1 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 3 2 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 3|GF Divisors (3)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 3 1 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 3 2 Divs|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 4|Gen.Fermat numbers {{V|xGF}}(4)]] || number || style="text-align:right;"|{{PAGESINCATEGORY:Generalized Fermat number 4 3 Nums|pages|R}}
 +
|-
 +
| [[:Category:Generalized Fermat number 4|GF Divisors (4)]] || number || style="text-align:right;"|{{PAGESINCATEGORY:Generalized Fermat number 4 3 Divs|pages|R}}
 +
|-
 +
| [[:Category:Generalized Fermat number 5|Gen.Fermat numbers {{V|xGF}}(5)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 5 1 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 5 2 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 5 3 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 5 4 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 5|GF Divisors (5)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 5 1 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 5 2 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 5 3 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 5 4 Divs|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 6|Gen.Fermat numbers {{V|xGF}}(6)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 6 1 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 6 5 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 6|GF Divisors (6)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 6 1 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 6 5 Divs|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 7|Gen.Fermat numbers {{V|xGF}}(7)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 7 1 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 2 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 3 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 4 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 5 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 6 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 7|GF Divisors (7)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 7 1 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 2 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 3 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 4 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 5 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 7 6 Divs|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 8|Gen.Fermat numbers {{V|xGF}}(8)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 8 1 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 8 3 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 8 5 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 8 7 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 8|GF Divisors (8)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 8 1 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 8 3 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 8 5 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 8 7 Divs|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 9|Gen.Fermat numbers {{V|xGF}}(9)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 9 2 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 9 5 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 9 7 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 9 8 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 9|GF Divisors (9)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 9 2 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 9 5 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 9 7 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 9 8 Divs|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 10|Gen.Fermat numbers {{V|xGF}}(10)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 10 1 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 10 3 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 10 7 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 10 9 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 10|GF Divisors (10)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 10 1 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 10 3 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 10 7 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 10 9 Divs|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 11|Gen.Fermat numbers {{V|xGF}}(11)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 11 1 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 2 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 3 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 4 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 5 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 6 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 7 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 8 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 9 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 10 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 11|GF Divisors (11)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 11 1 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 2 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 3 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 4 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 5 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 6 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 7 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 8 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 9 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 11 10 Divs|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 12|Gen.Fermat numbers {{V|xGF}}(12)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 12 1 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 12 5 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 12 7 Nums|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 12 11 Nums|pages|R}}}}
 +
|-
 +
| [[:Category:Generalized Fermat number 12|GF Divisors (12)]] || number || style="text-align:right;"|{{#expr:{{PAGESINCATEGORY:Generalized Fermat number 12 1 Divs|pages|R}}+{{PAGESINCATEGORY:Generalized Fermat number 12 5 Divs|pages|R}}+{{#dpl:category=Generalized Fermat number 12 7 Divs|resultsheader=%PAGES%|mode=userformat}}+{{#dpl:category=Generalized Fermat number 12 11 Divs|resultsheader=%PAGES%|mode=userformat}}}}
 +
|-
 +
| [[:Category:GF Divisors|all GF Divisors]] || number || style="text-align:right;"|{{#dpl:category=GF Divisors|resultsheader=%PAGES%|mode=userformat}}
 +
|-
 +
| [[:Category:Generalized Repunit|Gen.Repunit]] || bases || style="text-align:right;"|{{#dpl:category=Generalized Repunit|titleregexp=Generalized Repunit [1-9]+|resultsheader=%PAGES%|mode=userformat}}
 
|}
 
|}
 
{{Navbox NumberClasses}}
 
{{Navbox NumberClasses}}
 
[[Category:System]]
 
[[Category:System]]

Revision as of 17:23, 5 April 2024

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 3,846
Riesel primes k•bn-1, b>2 base 13
Proth primes k•2n+1 k-value 176
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 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
Woodall primes n•bn-1 base 775
Near Woodall primes (n-1)•bn-1 base 4
Near Woodall primes (n+1)•bn-1 base 3
Cullen primes n•bn+1 base 139
Near Cullen primes (n-1)•bn+1 base 1
Near Cullen primes (n+1)•bn+1 base 1
Fermat numbers F(2) number 152
GF Divisors (2) number 189
Gen.Fermat numbers xGF(3) number 21
GF Divisors (3) number 206
Gen.Fermat numbers xGF(4) number 5
GF Divisors (4) number 65
Gen.Fermat numbers xGF(5) number 23
GF Divisors (5) number 386
Gen.Fermat numbers xGF(6) number 14
GF Divisors (6) number 157
Gen.Fermat numbers xGF(7) number 37
GF Divisors (7) number 484
Gen.Fermat numbers xGF(8) number 28
GF Divisors (8) number 391
Gen.Fermat numbers xGF(9) number 25
GF Divisors (9) number 377
Gen.Fermat numbers xGF(10) number 26
GF Divisors (10) number 302
Gen.Fermat numbers xGF(11) number 69
GF Divisors (11) number 821
Gen.Fermat numbers xGF(12) number 25
GF Divisors (12) number 342
all GF Divisors number 1406
Gen.Repunit bases 2
Number classes
General numbers
Special numbers
Prime numbers
Retrieved from "https://www.rieselprime.de/z/index.php?title=PW:Statistics&oldid=31000"