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 "Template:Generalized Fermat number"

From Prime-Wiki
Jump to: navigation, search
(Long number as k-value possible)
(short k-value but long number for factor)
Line 35: Line 35:
 
3,41
 
3,41
 
7,14
 
7,14
 +
15288227662166113,8
 
N1100000000000108402,7
 
N1100000000000108402,7
 
P345
 
P345
Line 53: Line 54:
 
3,41
 
3,41
 
7,14
 
7,14
 +
15288227662166113,8
 
N1100000000000108402,7
 
N1100000000000108402,7
 
P345
 
P345
Line 96: Line 98:
 
|C=Composite {{#if:{{#var:n}}|[http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]{{#vardefine:facts|{{#var:facts}} * [http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]}}|{{#var:k}}{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}
 
|C=Composite {{#if:{{#var:n}}|[http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]{{#vardefine:facts|{{#var:facts}} * [http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]}}|{{#var:k}}{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}
 
|P=Prime {{#if:{{#var:n}}|[http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]{{#vardefine:facts|{{#var:facts}} * [http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]}}|{{#var:k}}{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}
 
|P=Prime {{#if:{{#var:n}}|[http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]{{#vardefine:facts|{{#var:facts}} * [http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]}}|{{#var:k}}{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}
|#default={{#if:{{#var:n}}|{{NPr|{{#var:k}}|{{#var:n}}}} ([[GF Divisor {{#var:k}} {{#var:n}}|GF Divisor]]){{#ifexist:GF Divisor {{#var:k}} {{#var:n}}|{{#vardefine:dat|{{GFDivisor get disc|GF Divisor {{#var:k}} {{#var:n}}|{{{GFNa}}},{{{GFNb}}},}}}}{{#vardefine:factn|{{GP|GF Divisor {{#var:k}} {{#var:n}}|GFNumber}}}}{{#if:{{#var:factn}}|{{#vardefine:facts|{{#var:facts}} * {{#var:factn}}}}}}}}|{{#var:k}}{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}
+
|#default={{#if:{{#var:n}}|{{NPr|{{#var:k}}|{{#var:n}}}} ([[GF Divisor {{#var:k}} {{#var:n}}|GF Divisor]]){{#ifexist:GF Divisor {{#var:k}} {{#var:n}}|{{#vardefine:dat|{{GFDivisor get disc|GF Divisor {{#var:k}} {{#var:n}}|{{{GFNa}}},{{{GFNb}}},}}}}{{#vardefine:factn|{{GP|GF Divisor {{#var:k}} {{#var:n}}|GFNumber}}}}{{#if:{{#var:factn}}|{{#vardefine:facts|{{#var:facts}} * {{#ifeq:{{Is Long number|{{#var:factn}}}}|1|{{Long number:{{#var:factn}}-NL}}|{{#var:factn}}}}}}}}}}|{{#var:k}}{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}
 
}}<!--
 
}}<!--
 
-->{{#if:{{#var:dat}}|{{#arraydefine:disc|{{#explode:{{#var:dat}}|&#32;|1}}|/;/}}{{#ifexpr:{{#arraysize:disc}}>0|, found {{#explode:{{#var:dat}}|&#32;|0}} by&#32;}}{{#arrayprint:disc|,&#32;|@@@|[[@@@]]}}}}<!--
 
-->{{#if:{{#var:dat}}|{{#arraydefine:disc|{{#explode:{{#var:dat}}|&#32;|1}}|/;/}}{{#ifexpr:{{#arraysize:disc}}>0|, found {{#explode:{{#var:dat}}|&#32;|0}} by&#32;}}{{#arrayprint:disc|,&#32;|@@@|[[@@@]]}}}}<!--

Revision as of 08:24, 30 June 2021

Description

Template Generalized Fermat number

Collect the data of a Generalized Fermat number (for b=1 this is a Fermat number).

Prototype

{{Generalized Fermat number
|GFNa=
|GFNb=
|GFNn=
|GFNFDBid=
|GFNDigits=
|GFNFactors=
|GFNState=
|GFNRemarks=
}}

Parameters

See also

Example

{{Generalized Fermat number
|GFNa=2
|GFNb=1
|GFNn=207
|GFNFDBid=1000000000002000017
|GFNDigits=1234
|GFNFactors=
2
3,41
7,14
15288227662166113,8
N1100000000000108402,7
P345
C1133,1100000000212123761
|GFNState=Composite
|GFNRemarks=test
}}

will create:

Current data

a b n : 2 1 207
FactorDB : ID: 1000000000002000017 / Formula: 22207+1
Digits : 1234
State : ERR
Remarks :
test

Factors

Factorization

2 * 6597069766657<13> * 114689 * 3913786281514524929<19> * Long number:N1100000000000108402-NS(Long number:N1100000000000108402-DI) * P<345> * C<1133>