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# Main Page

Here is a Wiki for primes and related topics, still under construction.

Examples in math (LaTeX) notation
$N \supset \mathbb P = \{ p_n \mid n \in N \}$
$\displaystyle{ N \supset \mathbb P = \{ p_n \mid n \in N \} }$
$\sideset{_1^2}{_3^4}\prod_a^b$
$\displaystyle{ \sideset{_1^2}{_3^4}\prod_a^b }$
$\iiiint\limits_{F} \, dx\,dy\,dz\,dt$
$\displaystyle{ \iiiint\limits_{F} \, dx\,dy\,dz\,dt }$
$f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}$
$\displaystyle{ f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} }$
$\sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty$
$\displaystyle{ \sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty }$
$\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498$
$\displaystyle{ \pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498 }$
Example of page categorizations
!TopLevel(19 C)
User de(2 C, 2 P)
User de-1(1 P)
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User de-N(1 P)
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User en(4 C, 7 P)
User en-1(empty)
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User en-3(2 P)
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User en-5(2 P)
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User en-N(3 P)
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User eo(1 C, 1 P)
User eo-1(1 P)
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User es(1 C, 2 P)
User es-1(2 P)
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User fr(1 C, 2 P)
User fr-1(2 P)
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User ru(1 C, 2 P)
User ru-N(2 P)
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User uk(1 C, 1 P)
User uk-N(1 P)
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User zh(1 C, 1 P)
User zh-1(1 P)
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Files(5 C, 1 F)
CSV(22 F)
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Images(11 F)
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PDF(2 F)
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Sieves(24 F)
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SVG(1 F)
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Frequently asked questions(4 C, 3 P)
General FAQ(1 P)
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Hardware FAQ(1 P)
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Math FAQ(empty)
no subcategories
Project FAQ(1 P)
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Hardware(22 P)
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Help(16 P)
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Maintenance(3 C, 1 P)
DeleteMe(2 P, 7 F)
no subcategories
Missing XCount(empty)
no subcategories
Wrong XCount(empty)
no subcategories
Math(7 C, 52 P)
Conjectures(6 P)
no subcategories
Factorization(1 C, 14 P)
Factoring program(7 P)
no subcategories
Functions(1 C, 3 P)
Operations(1 C, 5 P)
Multiplication(3 P)
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Geometry(4 P)
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Number systems(6 P)
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Primality tests(1 C, 11 P)
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Theorems(1 P)
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Number(5 C, 16 P)
Aliquot sequence(3 P)
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Generalized Fermat number(12 C, 3 P)
GF Divisors(1,158 P)
no subcategories
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Long number(12 P)
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Prime(9 C, 11 P)
Carol-Kynea prime(4 C, 386 P)
Carol-Kynea power-of(22 P)
no subcategories
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Cullen prime(3 C, 141 P)
Cullen prime without(27 P)
no subcategories
Cullen prime M(1 P)
no subcategories
Cullen prime P(1 P)
no subcategories
Leyland prime(2 C, 1 P)
Leyland prime M(2 C, 1 P)
Leyland prime M PRP(empty)
Leyland prime P(2 C, 1,816 P)
Leyland prime P proven(307 P)
Leyland prime P PRP(1,507 P)
Mersenne prime(53 P)
no subcategories
Proth prime(7 C, 3 P)
Proth 2(23 C, 150 P)
Proth 2 1-300(37 P)
Proth 2 300-2000(43 P)
Proth 2 2000-4000(5 P)
Proth 2 4000-6000(5 P)
Proth 2 6000-8000(3 P)
Proth 2 8000-10000(3 P)
Proth 2 10e4-10e5(38 P)
Proth 2 10e5-10e6(10 P)
Proth 2 10e6-10e7(6 P)
Proth 2 10e7-10e8(2 P)
Proth 2 10e8-10e9(2 P)
Proth 2 10e9-10e10(2 P)
Proth 2 3k-value(60 P)
Proth 2 15k-value(18 P)
Proth 2 2145k-value(2 P)
Proth 2 2805k-value(1 P)
Proth 2 Count-0(13 P)
Proth 2 Count-100(7 P)
Proth 2 Intervals(9 C)
Proth 2 Low-weight(58 P)
Proth 2 Missing-range(27 P)
Proth 2 Sierpinski(3 P)
Proth 3(1 C, 17 P)
Proth 3 Missing-range(12 P)
Proth 5(3 C, 36 P)
Proth 5 Count-0(30 P)
Proth 5 Low-weight(33 P)
Proth 6(2 P)
no subcategories
Proth 7(1 C, 2 P)
Proth 11(1 P)
no subcategories
Proth 999(1 P)
no subcategories
Riesel prime(14 C, 2 P)
Riesel 2(26 C, 3,354 P)
Riesel 2 1-300(151 P)
Riesel 2 300-2000(413 P)
Riesel 2 2000-4000(35 P)
Riesel 2 4000-6000(118 P)
Riesel 2 6000-8000(13 P)
Riesel 2 8000-10000(21 P)
Riesel 2 10e4-10e5(1,097 P)
Riesel 2 10e5-10e6(1,380 P)
Riesel 2 10e6-10e7(61 P)
Riesel 2 10e7-10e8(39 P)
Riesel 2 10e8-10e9(18 P)
Riesel 2 10e9-10e10(5 P)
Riesel 2 3k-value(1,071 P)
Riesel 2 15k-value(367 P)
Riesel 2 2145k-value(38 P)
Riesel 2 2805k-value(25 P)
Riesel 2 Count-0(94 P)
Riesel 2 Count-100(20 P)
Riesel 2 Intervals(3 C)
Riesel 2 Low-weight(1,815 P)
Riesel 2 Missing-range(457 P)
Riesel 2 no-SG(409 P)
Riesel 2 no-twin(286 P)
Riesel 2 Riesel(17 P)
Riesel problem 3rd(5 P)
Riesel 3(2 P)
no subcategories
Riesel 4(1 C, 1 P)
Riesel 4 Low-weight(1 P)
Riesel 5(3 C, 66 P)
Riesel 5 Count-0(54 P)
Riesel 5 Low-weight(64 P)
Riesel 10(1 C, 9 P)
Riesel 16(1 C, 2 P)
Riesel 128(2 C, 1 P)
Riesel 128 Count-0(1 P)
Riesel 263(1 P)
no subcategories
Riesel 284(1 P)
no subcategories
Riesel Count-0(3 C)
Riesel 2 Count-0(94 P)
Riesel 5 Count-0(54 P)
Riesel 128 Count-0(1 P)
Riesel Low-weight(5 C)
Riesel 2 Low-weight(1,815 P)
Riesel 4 Low-weight(1 P)
Riesel 5 Low-weight(64 P)
Riesel prime const(4 P)
no subcategories
no subcategories
Twin prime(2 P)
no subcategories
Williams prime(4 C, 1 P)
Williams prime MM(1 C, 172 P)
Williams prime MP(1 C, 157 P)
Williams prime PM(1 C, 90 P)
Williams prime PP(1 C, 85 P)
Woodall prime(3 C, 778 P)
Woodall prime without(12 P)
no subcategories
Woodall prime M(1 C, 5 P)
Woodall prime P(1 C, 3 P)
Organizations(1 C, 4 P)
Universities(4 P)
no subcategories
Person(152 P)
no subcategories
Project(6 C, 3 P)
Cunningham project(5 P)
no subcategories
Conjectures 'R Us(3 C, 1 P)
2nd Riesel Problem(27 P)
no subcategories
CRUS Even Riesel(3 P)
no subcategories
no subcategories
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No Prime Left Behind(4 C, 27 P)
NPLB Drive 17(101 P)
no subcategories
NPLB Drive 18(202 P)
no subcategories
NPLB Drive 19(46 P)
no subcategories
NPLB Drive High-n(6 P)
no subcategories
PrimeGrid(13 C, 5 P)
no subcategories
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Riesel Prime Search(6 C, 4 P)
RPS Drive 7(1 P)
no subcategories
RPS Drive 10(129 P)
no subcategories
RPS Drive 12(2 P)
no subcategories
RPS 1st Megabit Drive(11 P)
no subcategories
RPS 2nd Megabit Drive(30 P)
no subcategories
RPS 3rd Megabit Drive(10 P)
no subcategories
Twin Prime Search(4 P, 2 F)
no subcategories
GIMPS FAQ(7 P)
no subcategories
Home Prime Search(3 P)
no subcategories
Seventeen or Bust(6 P)
no subcategories
Woodall fill-in(13 P)
no subcategories
Reserved(2 C, 150 P)
Multi Reservation(27 P)
no subcategories
ReservedM(794 P)
no subcategories
Shortcut(19 P)
no subcategories
Software(6 C, 38 P)
Code snippets(4 P)
no subcategories
Factoring program(7 P)
no subcategories
no subcategories
Prime95(3 P)
no subcategories
Sieving program(6 P)
no subcategories
Tools(2 P)
no subcategories
Spelling(3 P)
no subcategories
System(4 C, 17 P)
Hidden categories(5 C)
no subcategories
Last updated(8 P)
no subcategories
Missing XCount(empty)
no subcategories
no subcategories
Wrong XCount(empty)
no subcategories
no subcategories
Pages with graphs(1 P)
no subcategories
Stub(76 P)
no subcategories
Teams(1 P)
no subcategories
Templates(4 C, 67 P)
Infoboxes(5 P)
no subcategories
Multilanguage(11 P)
no subcategories
Navboxes(14 P)
no subcategories
Prime collections(40 P)
no subcategories
Websites(10 P)
no subcategories
Example of prime sequence and reservation
Configuration tests: external links open in new browser tab/window
Examples of template usage and data table generating

The category for Carol/Kynea primes holds 3 example pages for some bases (2, 6 and 10).

These pages hold their data in the template CarolKyneaBase using named parameters.

The parameters can be used to create automatically a table of those pages.
Examples for including PDF documents

• Show document starting at page 3 and different sizings:
Example for fetching data from RieselPrime database

The data are collected from the internal SQL database by Extension:External Data:

• table: RieselPrime
• field: rieselk_id = 4 (-> "1" = Mersenne primes)
• fields collected: n, comment, utm (prime index n, comment like "Woodall", utm: id of Top5000 page)

Functioning but still complicated: no parser/string functions allowed in "#for_external_table" statement, therefore using variables.

Mersenne primes $\displaystyle{ 2^n-1 }$, prime for n:

2*, 3, 5*, 7*, 13, 17, 19*, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609, 57885161,
Examples for showing images of external pages

Images from external sources have to be put as full link on a page.

## Image from Wikipedia

Images can only be diplayed in available sizes, no resize possible.