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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}}]] || {{Vk}}-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|{{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}}}}}}
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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}}}}
 
|-
 
|-
 
| [[: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}}}}
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| [[: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}}}}
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| [[:Category:Woodall prime|Woodall primes {{Kbn|n|b|n}}]] || base || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Woodall prime|pages|R}}-2}}}}
 
|-
 
|-
| [[: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}}}}
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| [[: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}}}}
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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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}}}}
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|-
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| [[:Category:Generalized Fermat number 2|Fermat numbers {{V|F}}(2)]] || number || style="text-align:right;"|{{PAGESINCATEGORY:Generalized Fermat number 2 1 Nums|pages|R}}
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|-
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| [[:Category:Generalized Fermat number 2|GF Divisors (2)]] || number || style="text-align:right;"|{{PAGESINCATEGORY:Generalized Fermat number 2 1 Divs|pages|R}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}
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|-
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| [[:Category:Generalized Fermat number 4|GF Divisors (4)]] || number || style="text-align:right;"|{{PAGESINCATEGORY:Generalized Fermat number 4 3 Divs|pages|R}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[: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}}}}
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|-
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| [[:Category:GF Divisors|all GF Divisors]] || number || style="text-align:right;"|{{#dpl:category=GF Divisors|resultsheader=%PAGES%|mode=userformat}}
 
|}
 
|}
 
{{Navbox NumberClasses}}
 
{{Navbox NumberClasses}}
 
[[Category:System]]
 
[[Category:System]]

Revision as of 07:49, 24 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 51
Riesel primes k•2n-1 k-value 3,740
Riesel primes kbn-1, b>2 base 12
Proth primes k•2n+1 k-value 153
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
Woodall primes nbn-1 base 776
Near Woodall primes (n-1)bn-1 base 4
Near Woodall primes (n+1)bn-1 base 3
Cullen primes nbn+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 150
GF Divisors (2) number 184
Gen.Fermat numbers xGF(3) number 21
GF Divisors (3) number 202
Gen.Fermat numbers xGF(4) number 4
GF Divisors (4) number 62
Gen.Fermat numbers xGF(5) number 15
GF Divisors (5) number 363
Gen.Fermat numbers xGF(6) number 11
GF Divisors (6) number 148
Gen.Fermat numbers xGF(7) number 26
GF Divisors (7) number 439
Gen.Fermat numbers xGF(8) number 23
GF Divisors (8) number 364
Gen.Fermat numbers xGF(9) number 17
GF Divisors (9) number 348
Gen.Fermat numbers xGF(10) number 18
GF Divisors (10) number 275
Gen.Fermat numbers xGF(11) number 45
GF Divisors (11) number 743
Gen.Fermat numbers xGF(12) number 14
GF Divisors (12) number 309
all GF Divisors number 1158
Number classes
General numbers
Special numbers
Prime numbers