recursal/Fanatic-Fandom huggingface dataset:
How-to

> - Choose **Male** or **Female** as you category.
>
>

**Step 2**

> - Next click on the **3 dotted vertical line** top-right of the wiki.
>
>
> - Then click on **Add new page.**
>
>
>
> *Check reference.* ->
>
>

**Step 3**

> - Enter your character name and click next. *Check reference picture.* ->
> *Once done, You should then be on the editing page for this character.*
>
>

**Step 4**

> - Switch template to **Source Code** from **Visual Editor** and copy paste the template below.
>
>
> *- Check reference.* ->
>
>
> - When done, change back and you will then be ready to fill in your information.
>
>
>
> **TEMPLATE:**
>
>
> ```
>
> Enter a short summary here about your character
>
> ==Physical Appearance==
> ''Enter information about your characters physical appearance.''
>
> ==Personality and Traits==
> '''GOOD'''
> \* Add good personality trait
> '''BAD'''
> \* Add bad personality trait
>
> ==Biography==
>
> ===Background===
> Write a biography about your character. (not obligatory)
>
> ```
>
Mr. Lesbian

hello nerd, i’m Mr. Lesbian

on the right you can see a history of Mr. Lesbian

certified number 1 big swig fan, eternally better than that dumb green stick

among us

creator of the daily yeek, which has been going for 2 full weeks at the time of writing

the true richest and technically most powerful person on the Grizzcord SMP, owner of the Ivory Anvil

MY island got named “””outpost sancti””” without even asking me, it’s actually called the Sculk Citadel

also a biggol gregtech fan, i sure love smelting and crafting thousands of items

member of champion Big Jog team Ehg

never lost a game of Shovelware’s Brain Game 💪💪💪💪💪💪💪

also i hate fruit

thanks for reading
Valence

## Who is Valence?

I'll tell you who Valence is, they're simply one of the best members of Grizzcord. Period. Known well for their excellent skills at Salmon Run, even working all the way to the peak of EVP 999! It certainly takes HOURS to complete such a feat, and they coordinate wonderfully with their team to do so. Even then, their strong personality made presenting an entire presentation on every Grizzcord member ever a breeze. Simply, one of the most based grizzers there could be.

This was made out of spite.

None of this is actually true by the way - Me, Val

Words from Val ⬇️

I mean, I did get to 999 on hydroplant and marooners bay but I wouldn't say I'm the one of the best members. My coordination isn't even that good. My personality is not that strong like a tea or coffee freshly brewed, but I did make a shitty PowerPoint presentation which was kinda fun and I'd do another again. Anyways maje sure to drink water, keep yourself safe and don't be awake at 1am, but that is your option.
Ruin and Rising

**Ruin and Rising** is a 2014 novel written by Leigh Bardugo. It was the third installment of the Grishaverse franchise and the final installment of the Shadow and Bone Trilogy.

58%

## Critical Consensus

>  *Ruin and Rising is a satisfying conclusion to the series despite horrible execution and a major downgrade from the first two books.*
>
>

## Postive Qualities

* The world-building is still good.
* It has some entertaining aspects.
* It has some romance between Alina and Mal.
* It doesn't over-sexualize Alina or have explicit sexual behavior between Mal and her.
* The Fold's destruction is well written.
* It has a satisfying ending where the protagonists run the orphanage.

## Negative Qualities

* The Amplifier plot twist is terrible.
* The writing is not as good as the first two installments.
* It's poorly executed.
* The side characters don't have enough importance to the story.
The Hobbit

**The Hobbit** is a 1937 Young Adult High Fantasy novel written by J.R.R Tolkien. It was the first installment of the Middle-Earth Franchise. It's considered a classic.

62%

## Critical Consensus

> *While it may be entertaining, The Hobbit feels like it was written for younger audiences and is rather simple.*
>
>

## Postive Qualities

* The Writing is okay and sophisticated.
* The pace is pretty good.
* It's worldbuilding inspired the entire High Fantasy subgenre.
* The Characters are integrated into the plot pretty good.

## Negative Qualities

* Thorin's Party is full of generic side-characters.
* Gandalf is a bit of a Gary Stu.
Daggers

The 2 daggers in the game are the Steel Dagger and Diamond Dagger.

Both Daggers give +2 Movement Speed, between 15.7% and 19.3% PvP Damage and have a special ability:

Right Click - **Thrust**:

* Damage - 4.3
* Cooldown - 10 seconds

When created, both the Diamond and Steel Dagger have slightly randomised stats, as seen on the right.
Commands

There are a lot of commands in Valtara. This page will show different commands.

* /la player [player] - lists how many chunks a player will give if they join, and what lands they are trusted in
* /la rename [name] - renames your town, remember no spaces
* /la rent - manage rents
* /la selection - gives you a wooden hoe to select land for claiming
* /la setowner [player] - change ownership of your town
* /la setrole [player] - set a players rank/role in your town
* /la setspawn - sets your /la spawn
* /la spawn - teleport to public towns
* /la taxes - show upcoming tax payments
* /la top - show top ranked lands
* /la trust [player] - trust a player for your town
* /la unban - unban a player from your town
* /la unclaim - unclaim chunks for your town
* /la unclaim all - unclaim all chunks of your town
* /la untrust [player] - untrust a player from your town
* /la upkeep - see your towns upkeep
* /la view - view information about a town
* /la wild - teleport to a random location
* /la withdraw - withdraw funds from your town

### Nation Commands

* /nation - opens the nation GUI that shows many options, can also do /n
* /n accept - accept a nation invite
* /n chat - open nation chat
* /n create [name] - create a nation, remember no spaces
* /n delete - deletes your nation
* /n deny - denies a nation invite
* /n info - lists information about a nation
* /n leave - leaves your nation
* /n level - shows your nations level progress
* /n list - lists all nations and ranks them
* /n menu - opens the nation menu
* /n relations - open the nation GUI and manage relations
* /n rename [name] - renames your nation, costs 10k
* /n setcapital [name] - sets your nations capital
* /n spawn - teleports you to your nations capital
* /n top - shows top nations
* /n trust [player] - add towns to your nation
* /n untrust [player] - remove towns from your nation

### Communication Commands

* /n chat - enter nation chat
* /la chat - enter town chat
* /msg [player] [message] - send a private message to a player
* /r [message] - reply quickly to a recent message
* Angel Chest Commands
* /angelchest - opens the angel chest GUI that shows current angel chests
* /acgui - opens the angel chest GUI that shows current angel chests
* /acinfo - tells you in chat if you have any angel chests
* /acunlock - unlock your angel chest

### Economy Commands

* /bal [player] - lists players current balance, can just do /bal for yourself or look at the GUI on the right of your screen
* /pay [player] [amount] - pays a user some of your balance
* /baltop - lists and ranks everyone in your worlds money

### Teleport Commands

* /sethome [name] - set a home you can teleport back to every 15 seconds
* /home [name] - teleport to your set home in 15 seconds
* /delhome [name] - delete your set home
* /la spawn [name] - teleport to a public towns spawn
* /n spawn - teleports you to your nations capital
* /spawn - teleport to spawn
Dawn of Ruins

The Dawn of Ruins is a Thrusting Sword that is the Unique Rarity, which is very powerful, but comes at a high price.

## Dawn of Ruins

### Rarity

Unique - Thrusting Sword

It is crafted with a Crimson Blade, Steel Ingot and Crimson Handle.

In total,  8 Blood Diamonds,  4 Steel Ingots and  1 Stick is needed to craft it.

The Attack Damage is low, but what makes the sword powerful is the high Crit Strike Chance and Power, meaning you deal much more than 3.5 damage on most hits.

## Crimson Handle

###  Dawn of Ruins

Crimson Blade  1 Steel Ingot  1 Crimson Handle
Hardened Diamond Armor

Hardened Diamond Armor is an armor set crafted out of Rare Diamonds and Diamond Blocks.

It requires  13 Diamond Blocks and 11 Rare Diamonds.

Each piece of armor grants 1% Damage Reduction.

In total, it gives 20 Armor, which is the maximum and 8 Armor Toughness and 4% Damage Reduction.

The full set bonus gives you 50% PvE Defense, which is defense against mobs.
Gems

There are 3 obtainable Gems in the game, all dropped from the Slime King the Gem of Life, Ruby of Strength and Fireworn Gem.

### Gem of Life

The Gem of Life is an armor Gem Stone, which always has 4 health and fits into Red Sockets.

### Ruby of Strength

The Ruby of Strength is a Gem Stone that goes in all sockets, no matter the type. It has randomised stats, between 1.1 and 1.9 Damage and 10.1 - 11.9 Crit Strike Power.

### Fireworn Gem

The Fireworn Gem is an armor Gem Stone that fits into Fire Sockets. When applied, it enchants the armor piece with Mending and Protection 4, and also gives Fire Resistance at all times.

### Gem Remover

You can use a Gem Remover to remove a random Gem from your item, and it will go back into your inventory.

It is crafted like the following:

 3 Rare Diamond  5 Gold Ingot  3 Ender Pearl
Valtara Wiki

**Welcome to the Valtara Wiki!**
The Official Wiki for Valtara, Legacy Network

We're a collaborative community website about Valtara, Legacy Network that shoul tell you everything you need to know.

## Important articles

https://valtara.fandom.com/wiki/Rare\_Diamondhttps://valtara.fandom.com/wiki/Blood\_Diamondhttps://valtara.fandom.com/wiki/Steel\_Ingothttps://valtara.fandom.com/wiki/Gemshttps://valtara.fandom.com/wiki/Slime\_King

*Need help building out this community?*

* Rules of this wiki
* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central!

*Community Founders*: Write a good and paragraph-length description for your welcome section about your topic. Let your readers know what your topic is about and add some general information about it. Then you should visit the admin dashboard for more tips.
Pedro

* Main
* Alt

### Trivia

* Pedro doesn't neccessarily have a job, but he delivers lemons to Ducky and gets paid in caramel popcorn.
* Pedro is currently 14.
* Pedro is canonically transgender.
* If you use Pedro's deadname he just gets reminded of his trauma and cries.
* Pedro likes to play with the ducks that his sister has around the house.
* If Pedro had to choose, Penny is his favorite friend.
* Pedro is dating a girl called Valentina, and supports him!
* Pedro's bedroom is technically in Ducky's bedroom.
* Pedro loves to read comics!
Steel Armor

Steel Armor is an armor set crafted out of Steel Ingots.

It is crafted with  24 Steel Ingots, in the same orientation as other armors.

Each piece of armor has slightly randomised Block Power, Block Rating and Knockback Resistance.

* Steel Helmet: 5.1 - 6.9 Block Power, 5.3 - 7.7 Block Rating, 1.33 - 2.66 Knockback Resistance
* Steel Chestplate: 5.1 - 6.9 Block Power, 5.3 - 7.7 Block Rating, 1.33 - 2.66 Knockback Resistance
* Steel Leggings: 5.1 - 6.9 Block Power, 5.3 - 7.7 Block Rating, 1.33 - 2.66 Knockback Resistance
	+ Steel Boots: 5.1 - 6.9 Block Power, 5.3 - 7.7 Block Rating, 1.33 - 2.66 Knockback Resistance
About Ducky and Friends

Ducky's lore starts with Ducky's Lemonade Stand (Chapter 1), and progresses in Ducktown Anomalies (Chapter 2).

However a Chapter 3 has been confirmed with the title "Ducktown Deathstination".

### Ducky's Lemonade Stand

Click this link to view the story of Ducky's Lemonade Stand.

https://docs.google.com/document/d/1BM8mX7jJB0zLDPp4PYAs-dlmg0rRA7EnTX0Va6y0CAc/edit

### Ducktown Anomalies

Ducktown Anomalies has not been made yet however it releases on May 7.

### Duckyverse

The Duckyverse is the canon Multiverse of Ducky and Friends. There are several Alternate Universes in the Duckyverse.

To view all the Duckyverse characters from all universes, click here: Duckyverse Characters.
Slime King

### Drops

20 Rare Diamonds, Gem of Life, Ruby of Strength, Nether Gem, Slimy Artifact, Fireworn Gem, Godly Silver

### Type

Boss

The Slime King is a very strong boss that yields high rewards, but at a high risk.

## Spawning

It is spawned by right clicking Summons the Slime King, which is crafted in a  Crafting Table:

 4 Diamond Blocks  4 Rare Diamonds  1 Slime Ball

The scroll is consumed when spawned.

## Mechanics

The Slime Boss deals 10 Damage to you on normal hits, but it also has 4 special attacks:

### King Slime Poison

* Every 25 seconds, Slime King inflicts Poison 3 to every player in a 15 block radius for 5 seconds
* A particle effect is created when this happens

### Super Shockslam

* Every 10 seconds, the Slime King jumps and slams down, dealing 50 damage to all players in a 10 block radius
* Make explosion effect particles

### Crushing Leap

* Every 7.5 seconds, the Slime King volleys the players into the air and deals 20 damage to every player in a 5 block radius.
* Explosion effect created

## Loot

The Slime King gives very good loot, which justifies the high cost of spawning it. It is guaranteed to get the Rare Diamonds used in spawning it back.

Loot Table
  Gem of Life | 1
  Ruby of Strength | 1
  Slimy Core | 1
  Fireworn Gem | 1
  Godly Silver

## Tips

* If you die to the Slime King, and nobody is there it will despawn meaning you lose the Rare Diamonds used to craft the summoning scroll
* To make sure this doesn't happen, fight the boss with multiple people as fighting it Solo is an unnecessary risk
* Try to keep a rough idea of how often the Super Shockslam happens and try to get out of the 10 block radius as it deals major damage
Ducky and Friends Wiki

**Welcome to the Ducky and Friends Wiki!**
Welcome to the Ducky and Friends Wikipedia! This is a world made by Fortune and peace.

## Important articles

PlaceholderAbout Ducky and FriendsPlaceholderCharactersGame LinksPlaces

*Need help building out this community?*

* Rules of this wiki
* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central!

*Community Founders*: Write a good and paragraph-length description for your welcome section about your topic. Let your readers know what your topic is about and add some general information about it. Then you should visit the admin dashboard for more tips.
Visionary City Roleplay Wiki

**Welcome to the VCRP 2.0 Wiki!**

**[** We are currently editing • **6** • articles, and • **19** • files. **]**

 **VCRP Official Discord**
 **VCRP CFX Forums**
 **Subscribe to our YouTube**
 **Follow us on Twitter**
 **Follow us on Instagram**

**Visionary City RP** is a FiveM roleplay server, owned and developed by **Liinux** and **Aslany7**. **FiveM** is a third-party multiplayer system and our sever is hosted by 1 of 1 Servers.

"Role-playing or roleplaying is the changing of one's behaviour to assume a role, either unconsciously to fill a social role, or consciously to act out an adopted role."

We at Visionary believe that the word roleplay has more depth. It is essential to understand that we seek players that can build unique characters, scenarios, and relationships with other players.

Our goal for this wiki is to unite the community to build a fandom of each character in the Visionary universe, we thought it would be a great idea to further enhance everyone's stories and have the ability later on to track these stories. Each player will be responsible for their page and follow the guideline when creating a page. This is not only for characters but also for businesses, emergency services, and much more.

**Wiki Rules:**

- No toxicity in any comments or pages.

- No discussing anything outside of this wiki, meaning no bans, problems or issues that happens OOC.

- No deleting content from a page unless it's false.

- No falsifying a page, make sure you are creating a page that reflects the world in our universe.

- No adding false or irrelevant info to character, business or other pages.

We thank you for contributing to our fandom!

- Visionary Staff Team

**Character Page Tutorial**
How-to | Visionary City Roleplay Wiki | Fandom

MaleFemaleDeceased

DepartmentsBusinessesGangs
Fireworn Armor

The Fireworn Armor set is one of the strongest armor sets in the game, with the main crafting ingredient being  Blood Diamonds.

## Fireworn Armor

### Rarity

Unique

In total, it gives 20 Armor, which is the maximum and 8 Armor Toughness.

It is forged with in steel forge, with a forge time of 3600s or 1 hour.

The set costs  8 Blood Diamonds,  16 Steel Ingots and  4 Flint and Steel in total to craft.

* All pieces of the armor are initially enchanted with Fire Protection 5, Protection 2 and Unbreaking 3
* Chestplate also has Thorns 3 and the Boots have Soul Speed 4

Each armor slot also has 4 Gem Slots, which makes the armor special:

* Fire Gem Socket
* Red Gem Socket
* Orange Gem Socket
* Yellow Gem Socket

## Recipe - Steel Forge

  Fireworn Chestplate
  Fireworn Leggings
  Fireworn Boots
Ducky

* Current
* Previous

### Personality

Ducky is pretty bubbly and unintelligent. Also silly and a bit unhinged, but she cares for her loved ones.

### Relationships

Froggy: Ducky considers Froggy her bestest friend, as they have much similarities and care for eachother.

Beary: Best Friend

Penny: Best Friend

### Trivia

* Ducky is canonically lesbian. (WOMAN KISSER 🤯)
* Ducky owns a lemonade stand and is the founder of her hometown, Ducktown.
* Ducky owns 100 duck dumplings and consider them her children.
* Ducky suffers a bit of PTSD due to some family-related trauma.
* The glasses Ducky wears are fake, and wore it because it was a birthday gift.
* Currently Ducky has a small side business called 'Ducktown: Anomalies Department'
* Ducky has met many people she considers her friends, but she has a friend group of 4.
* Ducky can be oblivious but knows how to work around things that can be considered 'unsolvable'
* Ducky is currently 17 years old.
* Ducky's true name is Pandora.
Penny

* Current
* Previous

### Trivia

* Penny is unemployed and probably doesn't wanna get a job because she knows she's incompetent.
* Penny is planning a penguin army and nobody except her friends know about that.
* Penny watches the Penguins of Madagascar movie religiously.
* Penny is 15 years old, youngest of the frend group.
* Penny enjoys watching analog horror.
* Penny likes to eat frozen/microwaved pizza.
* Penny is questioning her sexuality.
* She may be lazy but she understands and listens to her friends problems and figures out solutions to them.
* Penny sleeps alot.
Michael Afton

## Michael Will Afton

### Aliases

Mike, Jeremy Fitzgerald (Not Child), Fritz Smith (Not Child), The One Who Started It All, Failure (By William), The Savor, Foxy Mask Bully, Bestie (By Nole), Skin Suit for Ennard, Rotten Corpse, The Walking Dead (By Gabriel), Brave Volunteer (By Henry)

### Relatives

William Afton, Mrs. Afton, Elizabeth Afton, Evan Afton

### Affiliation

Best Friends/Friends: Nole Markham, Sam O’Neil, Jeremiah Jones, Tritz Smith, April Fitzgerald, Richard Fitzgerald. Enemies: William Afton, Evan Afton (Sometimes), Mrs Afton.

### Occupation

Senior in High School, Works at Freddy Fazbears Pizza
Shadow and Bone

**Shadow and Bone** is a 2012 novel written by Leigh Bardugo. It was the first installment of the Grishaverse franchise.
62%

## Critical Consensus

> *Thrilling, full of good world-building and magic. Shadow and Bone is an excellent debut novel.*
>
>

## Postive Qualities

* The Worldbuilding is very good.
* It starts a new genre called Tsarpunk.
* The Shadow Fold is a cool concept.
* The Darkling is a good antagonist.
* The macguffin is okay.
* The ending is pretty good.
* The plot is pretty good.

## Negative Qualities

* Alina is a cliche protagonist and a passive protagonist.
* Mal is absent for a while and doesn't have much characterization.
Nautilus

Nautilus was released with **Sector 01: Dreadshore**.

A Fortalis Suit that enhances the effects of defensive weaponry.

Upgrades can be purchased from **Prosarmogi**, the Suits Advisor.

 Counter Charge II
 Counter Charge III
 Counter Charge MASTERED

 Block Lock II
 Block Lock III
 Block Lock MASTERED

 Surge Override II
 Surge Override III
 Surge Override MASTERED

Currently there are at least 3 skins for Nautilus:

 *"An intriguing look that became an urban legend."*

Given to player by default.

 *"An unknown figure said to trawl the ocean depths for the dead."*

Can be obtained by purchasing the Deluxe Edition of the game or by buying the Dreadshore DLC.

## Codex

In New England, locals murmured a terrifying story:

As the final screams echoed and died from within the lighthouse, locals say a hulking figure emerged from the Sanctuary, dripping blood, and wearing what resembled an ancient diving suit. The figure became an urban legend: Nautilus, a man from the depths who came to drown the last of humanity.

Years later, investigation of the lighthouse Sanctuary uncovered the mystery of Nautilus. Blueprints of a Fortalis Suit resembling the legendary figure were discovered on the facility's computers. The suit appeared to have been developed by an unknown prisoner tasked with maintaining routine duties in the Sanctuary. Evidence pointed to the suit being created by the prisoner to improve their chance of survival, whether to escape the facility, or wreak bloody revenge on his captors.

Based on data logs, the suit seemed to have been developed by an unknown prisoner tasked with maintaining routine duties in the Sanctuary. The prevailing theory is that the prisoner was not a trained warrior and created a suit that could improve their survivability, whether to escape the facility or wreak bloody revenge. What became of Nautilus after their final sighting is unknown.
Evan Afton

## Evan Andy-Warren Afton

### Aliases

Cry Baby (By Michael), Birthday Kid, Annoying Litter Brother (By Michael), Part of Golden Freddy, Part of Withered Golden Freddy, Part of Ennard, The One You Shouldn’t Have Killed

### Relatives

William Afton, Mrs. Afton, Michael Afton, Elizabeth Afton

### Affiliation

Best Friend: Charlie Emily, Cassidy Mae, His Plushes Especially The Plush Fredbear. Friends: Alice Fitzgerald, Andrew Anderson, Liv Fitzgerald, Jake Simmons, Gabriel Fitzgerald, Mateo Sawyer, Susie Conners, Nole Markham. Enemies: Plush Fredbear (Love hate relationship)
Crooked Kingdom

**Crooked Kingdom** is a 2016 novel written by Leigh Bardugo. It was the fifth installment of the Grishaverse franchise.

94%

## Critical Consensus

> *Crooked Kingdom is a major improvement over its predecessor and fantasy fiction as a whole. With complex world-building, characters and mature themes.*
>
>

## Postive Qualities

* The Worldbuilding is way better focusing on the social classes and attractions of Ketterdam.
* All the characters have well written story arcs.
* The dialogue is very good.
* The Writing is very good.
* It has flying grisha hunters with metal wings.
* It has a well written story about Jesper's hedonism.
* It has better themes relating to real world issues then the previous book.
* It's full of deep, overarching, mature themes.
* It's paced extremely well.
* It has a heartwarming ending where Kaz finds Inej's parents and takes them to her.
* The last sentences are very good with Inej replacing a stuffed animal with a crow as a threat towards Pekka.
* The villains are extremely well written.
* The plot is very good with it's only flaw being a few convoluted segments.

## Negative Qualities

* Mathias's death is not executed very well
Marla Johnson

## Marlene Ann Johnson-Mars

### Aliases

Marla, Rich Pretty Woman, Shawty (By Nole), The Mangle, Toy Foxy, Phantom Mangle

### Relatives

Arnold Johnson, Angelica Mars, Elijah Johnson-Mars

### Affiliation

Best Friends: Fritz Smith, Yolanda Jones, Amber Volkov, Lindsay Garcia, Natalie Rogers, Cassidy Mae. Friends: Gabriel Fitzgerald, Evan Afton, Susie Conners, Elizabeth Afton, Charlie Emily. Enemies: William Afton, Nole Markham
Andrew Anderson

## Andrew Colton Anderson

### Aliases

An, Gator Mask Kid, Scar Face, Cassidy’s Partner in Crime, Emo, The Dark Lord| Animatronics He’s Possessed before: Fetch, Ella, Plushtrap, Foxy

### Relatives

Nathaniel Anderson, Estelle Anderson, Aubrey Anderson, Whitney Anderson, Kayleigh Anderson

### Affiliation

Best Friends: Cassidy Mae, Gabriel Fitzgerald, Nole Markham, Fritz Smith, Jake McNally, Evan Afton. Friends: Timothy Fitzgerald, Otto Fischer, Mateo Sawyer. Enemies: William Afton.

## Physical description

### Eye color

Right eye, Blind was Blue-Grey, Left eye, Blue-Grey
Gabriel Fitzgerald

## Gabriel Alexander Fitzgerald

### Aliases

Gabe, Brother, Freddy Fazbear, Withered Freddy, Phantom Freddy, Part of Ennard, Missing Child 3,

### Relatives

Houston Fitzgerald, Rebecca Fitzgerald, April Fitzgerald, Richard Fitzgerald, Timothy Fitzgerald, Liv Fitzgerald, Jeremy Fitzgerald, Alice Fitzgerald, Dallas Fitzgerald

### Affiliation

Best Friends: Elizabeth Afton, Fritz Smith, Andrew Anderson. Friends: Evan Afton, Collin Barnes. Enemies: William Afton, Fredrick Fitzpatrick, Joésph O’Neil.

## Appearances

### Debut

Chapter 1, Page 2

Gabriel is the 5th son of Houston and Rebecca, and He has many siblings including April (Oldest Sister), Richard (Oldest Brother), Timothy (Older Brother), Liv Fitzgerald (Older Sister), Jeremy (Younger Brother), Alice (Younger Sister), and Dallas (Younger Brother). He is also the 3rd victim of William Afton and Possesses Freddy Fazbear.
William Afton

## William John Afton

### Aliases

Will, The Murderer, Purple Guy, Mr. Afton, Father (By Michael), Old Friend (By Henry), Spring-Bonnie (As suit), Spring-Bonnie Man, Spring-Trap, Orange Man (Midnight Modernist), Scrap-Trap, Burn-Trap.

### Relatives

Mrs Afton (Wife), Michael Afton, Elizabeth Afton, Evan Afton

### Affiliation

Best Friend: Henry Emily (Previously), Houston Fitzgerald (Previously), David Conners (Previously). Friends: No one

## Biographical information

### Place of death

Freddy Fazbears Jr. in the Employee Only Room
Sam O’Neil

### Relatives

Santiago O’Neil, Catalina O’Neil, Maria O’Neil, Manuel O’Neil, Camila O’Neil, Josëph O’Neil

### Affiliation

Best Friends: Victoria López, Michael Afton, Nole Markham, Jeremiah Jones. Friends: Collin Barnes, Amber Lunacharski, Brittney Dodge. Enemies: Richard Fitzgerald, Evan Afton

### Occupation

Junior in High school, Works at Mayors Mechanics
Jeremy Fitzgerald

## Welcome to the Jeremy Fitzgerald Home Page!

### Relatives

Houston Fitzgerald, Rebecca Fitzgerald, April Fitzgerald, Richard Fitzgerald, Timothy Fitzgerald, Liv Fitzgerald, Gabriel Fitzgerald, Alice Fitzgerald, Dallas Fitzgerald

### Affiliation

Best Friends/Friends: Gets Along with Everyone! Enemies: William Afton

## Appearances

### Debut

Chapter 1, Page XXXX

Jeremy is the 6th Child of Houston and Rebecca, and He has many siblings including April (Oldest Sister), Richard (Oldest Brother), Timothy (Older Brother), Liv Fitzgerald (Older Sister), Gabriel (Older Brother), Alice (Younger Sister), and Dallas (Younger Brother). He is also the 2nd victim of William Afton and Possesses Bonnie the Bunny.
Elizabeth Afton

## Elizabeth Marie Afton

### Aliases

Liz, Perfect Daughter (By her parents), Ice Cream Girl (By Jeremy), Red Head (By Gabriel), Circus Baby, Scrap Baby

### Relatives

William Afton, Mrs. Afton, Michael Afton, Evan Afton

### Affiliation

Best Friends: Gabriel Fitzgerald, Liv Fitzgerald, Timothy Fitzgerald, Rory Cameryn, Marla Johnson, Sammy Emily, Yolanda Jones. Enemies: Charlie Emily, Michael Afton, Nole Markham, Sam O’Neil, Jeremiah Jones.
2

性质
--

偶数

第1个质数。下一个为3。

唯一的偶质数。

唯一一组相差为1的质数对之一，其为（2、 3）。

第一个阶乘质数（1!+1）。下一个是3。

第一个危险质数。下一个是3。

第一个Smarandache–Wellin质数

十进制下，既是可右截短质数，也是可左截短质数

十进制下的可交换质数

此数字虽然是自然质数，但不是高斯质数。2是第一个有此性质的自然质数。下一个是5。（OEIS数列A002313）

第2个亏数，真约数和为1，亏度为1。前一个为1、下一个为3。

第2个高合成数。前一个为1、下一个为4。

第1个不寻常数，大于平方根的质因数为2。下一个为3。

第2个无平方数约数的数。前一个为1、下一个为3。

第2个普洛尼克数，为1与2的乘积。前一个为0、下一个为6。此外，2也是普洛尼克数中唯一的质数。

第2个佩尔数。前一个为1、下一个为5。

第3个斐波那契数。前一个为1、下一个为3。

2的阶乘。前一个为1、下一个为6。

第1个质数阶乘，即前1个质数的乘积。下一个为6。

第2个十进制的哈沙德数。前一个为1、下一个为3。

第2个全哈沙德数，即在所有进位制中皆为哈沙德数。前一个为1、下一个为4。

第2个十进制的等数位数。前一个为1、下一个为3。

第1个不可及数。下一个为5。

西尔维斯特数列的第一项

佩兰数列的第三项和第五项

巴都万数列的第四项和第五项

第一个的士数

2+2=2\*2=22=22

最小的体有两个元质。

欧拉-笛卡尔公式：对任意凸多面体，V-E+F=2，其中V, E和F分别是点、边和面的个数。

2的平方根（sqrt2）是最早被发现的无理数，其值约为1.414213562373

科学
--

氦的原子序数

文化
--

“二”在汉语中有时可用于形容人很傻，例如「你个二B！」
Houston Fitzgerald

### Relatives

Rebecca Fitzgerald (Wife), April Fitzgerald, Richard Fitzgerald, Timothy Fitzgerald, Liv Fitzgerald, Jeremy Fitzgerald, Alice Fitzgerald, Dallas Fitzgerald

### Affiliation

Best Friends: Henry Emily, William Afton (formerly), David Conners. Friends: Everette Barnes, Jayson Johnson. Enemies: William Afton, Miranda Johnson, Lisa Smith.

### Occupation

Owner of Fitzgerald Farm, Owner of Papa Bears Flapjacks.
7

7是在6与8之间的自然数。

性质
--

### 质数类

第4个质数。前一个为5、下一个为11。

第2对孪生质数之一，其为（5、7）。

因为它可以表示成3!+1,所以它是第4个阶乘质数。前一个为5、下一个为23。(OEIS中的数列A88054[1])

第2个胡道尔质数

第2个幸运质数

第3个瓦格斯塔夫质数

第2个梅森质数(2^3-1),对应的完全数为28，前一个为3、下一个为31。

一个高斯质数

第4个在十进制下，既是可右截短质数也是可左截短质数的数，前一个为5、下一个为23。

第1个在二进制下，既是可右截短质数也是可左截短质数的数，下一个这样的数是107。

第4个十进制下的可交换质数。前一个为5、下一个为11。

### 其他

第4个十进制的自我数。前一个为5、下一个为9。

第7个十进制的哈沙德数。前一个为6、下一个为8。

第5个十进制的等数位数。前一个为5、下一个为10。

第2个快乐数

999999除以7刚好是142857，以7为分母的真分数的循环节为该六个数字的不同顺序。

若某数之末位的二倍与剩余数字的差为7的倍数，则某数为7的倍数。

正三边形、正四边形、正五边形、正六边形均可以以尺规作图的方式画出，但正七边形却不可以。

西尔维斯特数列的第3项。

Frieze群有七种。

7维空间是除了3维空间外唯一能定义二元叉积的空间，参见七维叉积。

佩兰数列的第8项。

科学
--

中性溶液的pH值为7。

氮的原子序数。

北斗七星主要由七颗亮星组成。

彩虹经常被分为七种颜色。

生物界分为七个等级：界、门、纲、目、科、属、种。

锂-7的原子量为7。

文化
--

一周七天，分别是周一，周二，周三，周四，周五，周六，周日。

在粤语里，7和“柒”被广泛用作粗口，表示男性生殖器。
3

## 数学性质

第2个奇数，前一个是1，下一个是5。

第2个质数。前一个为2、下一个为5。

第1对孪生质数之一，为（3、5）以及（2、 3）。

第1个费马质数（

2

2

0

1

{\displaystyle 2^{2^{0}}+1}

）

第2个阶乘质数（

2
!
1

{\displaystyle 2!+1}

）。前一个是2、下一个是5。

第1个幸运质数。

第2个索菲热尔曼质数。

第2个危险质数。前一个是2、下一个是13。

十进制下，既是可右截短质数，也是可左截短质数。

十进制下的可交换质数。

第一个将不含1的所有因数减一都是质数的数字，下一个是4。

西尔维斯特数列的第2项。

第2个三角形数。

每个自然数都可以表示为最多**3**个三角形数之和。

第4个开放曲流数。

属首组勾股数：

3
2

4
2

=

5
2

{\displaystyle 3^2+4^2=5^2}

。

在二进制为回文数：3=(11)2。

3是循环单位111（连续3个1，其中3是质数）的因数，111=3\*37。

几何
--

三个不共线点可定出一个平面或一个圆。

一个多边形最少有三条边

只有3种正多边形能密铺平面：正三角形、正方形、正六边形
13

第6个质数。前一个为11、下一个为17。

第3对孪生质数之一，其为（11、 13）。

第3个幸运质数

第2个威尔逊质数

第2个毕达哥拉斯质数

第3个普罗斯质数

第5个瓦格斯塔夫质数

第1个反质数

第1个星状质数

第3个危险质数。前一个是3、下一个是17。

四胞胎素数

(
n
,
n
2
,
n
6
,
n
8
)

{\displaystyle (n,n+2,n+6,n+8)}

 之一（11，13, 17，19）；下一个组合为（101，103，107，109）

此数字虽然是质数，但不是高斯质数。前一个有此性质的自然质数是5、下一个是17。 (OEIS中的数列AA002313[1])

第7個斐波那契数。前一個為8、下一個為21。

六角星数

在以14或以上的数为基数的记数法中（例如十六进制等），13以拉丁字母D标示

第4个快乐数

阿基米德立体的数目

卡塔兰立体的数目
Liv Fitzgerald

## Welcome to Liv Fitzgeralds Page!

### Relatives

Rebecca Fitzgerald, April Fitzgerald, Richard Fitzgerald, Timothy Fitzgerald, Gabriel Fitzgerald, Jeremy Fitzgerald, Alice Fitzgerald, Dallas Fitzgerald

### Affiliation

Best Friends: Collin Barnes, Elizabeth Afton, Cassidy Mae, Rory Camryn. Friends: Susie Conners, Sammy Emily, Andrew Anderson. Enemies: William Afton, Charlie Emily, Anyone who hurts her family
Six of Crows

**Six of Crows** is a 2015 novel written by Leigh Bardugo. It was the fourth installment of the Grishaverse franchise.

70%

## Critical Consensus

> *Six of Crows features an excellent mature cast of characters and deals with some serious real world issues. It’s also one of YA Fiction’s more enjoyable outings.*
>
>

## Postive Qualities

* The Worldbuilding is good and it focuses on regions barely explored in the first trilogy.
* The Cast is very good and diverse
* The plot is okay
* The Writing is understandable
* Kaz Brekker is a great protagonist
* It is extremely entertaining

## Negative Qualities

* The Baleen is poorly explained.
* Some side characters are forgettable.
米尔斯常数

**米尔斯常数**是使对于所有正整数*n*，二重指数函数

A

3

n

{\displaystyle A^{3^{n}}\;}

的整数部分都是质数的最小正实数*A*。这个常数以W·H·米尔斯命名，他在1947年证明了这个常数的存在。

米尔斯常数的值是未知的，但如果黎曼猜想成立，它的值大约为：

A
≈
1.30637788386308069046...

{\displaystyle A\approx 1.30637788386308069046...}

 (OEIS中的数列A51021[1])。
## 米尔斯质数

由米尔斯常数所产生的质数称为米尔斯质数；如果黎曼猜想成立，这个数列的最初几项为：

2,11,1361,2521008887…… (OEIS中的数列A51254[2])。
目前已知最大的米尔斯质数（假设黎曼猜想成立）是：

(
(
(
(
(
(
(
(
(

2

3

3

)

3

30

)

3

6

)

3

80

)

3

12

)

3

450

)

3

894

)

3

3636

)

3

70756

)

3

97220
,

{\displaystyle \displaystyle (((((((((2^{3}+3)^{3}+30)^{3}+6)^{3}+80)^{3}+12)^{3}+450)^{3}+894)^{3}+3636)^{3}+70756)^{3}+97220,}

它有20,562位。

计算
--

通过计算米尔斯质数，我们可以近似计算米尔斯常数为：

A
≈
a
(
n

)

1

/

3

n

.

{\displaystyle A\approx a(n)^{1/3^{n}}.}

用这个方法计算出米尔斯常数的差不多七千位数。目前还没有闭合公式可以计算米尔斯常数，甚至不知道它是不是有理数。
FNAFWRLDAU Wiki

**Welcome to the FNAFWRLDAU Wiki!**
Glad to have you here :)

~An Alternate Universe of the Game Five Nights at Freddy’s~

~Hello and welcome to this wiki! This is a project me and my brother are working on, it’s about a different timeline on FNAF and how me and my brother see it. It’s about a land after William went on his killing spree and killing 80+ children/teens. The ones who weren’t lucky ended up in a place called FNAFWRLD, where you will meet all kinds of new people!

If you end up finding this hey! I made this to keep track of things and such. Be kind and respectful and don’t mess around, ok? And enjoy this Wiki! ~

Want to find us elsewhere? Here’s some links! [1] YouTube! Twitter!

#### //WARNING 14+ THIS COMIC INCLUDES THE FOLLOWING: DEATH, BLOOD, GORE, SWEARING, ABUSE, CRUDE HUMOR AND MUCH MORE. CONTINUE WITH WARNING//

ALL ART BY T33V33/tr0ubl3sh00t3r

credit if post ^^

And of course enjoy, -T33V33 and AstroChase10
八边形数

**八边形数**是能排成八边形的多边形数，是有形数的一种。其概念类似三角形数及平方数。

前几个八边形数为:

1, 8, 21, 40, 65, 96, 133, 176, 225, 280, 341, 408, 481, 560, 645, 736, 833......(OEIS中的数列A000567[1])
第n个八边形数可用以下公式求得:

n

2

4

∑

# k
1

n
−
1

# k
3

n

2

−
2
n

{\displaystyle n^{2}+4\sum \_{k=1}^{n-1}k=3n^{2}-2n}

O

n

=
3

n

2

−
2
n

{\displaystyle O\_{n}=3n^{2}-2n}

.

八边形数有不断的奇偶交替的性质。

八边形数在十进制中的末位数以1,8,1,0,5,6,3,6,5,0的规律循环出现。

根据费马多边形数定理，所有的整数都可以表示成至多8个八边形数的和。

只有两个数需要用8个八边形数的和才能表示：15、36。
佩尔数

在数学上，佩尔数是以递归的方法来定义：
F0=0,F1=1,Fn=2Fn-1+Fn-2

最初几个佩尔数是：
0,1,2,5,12,29,70,169,408,985,2378(OEIS中的数列A129[1])。

通式
--

P
n

=

(
1

2

)
n

−
(
1
−

2

)
n

2

2

{\displaystyle P\_n=\frac{(1+\sqrt2)^n-(1-\sqrt2)^n}{2\sqrt2}}

## 素数和平方数

**佩尔素数**是既是佩尔数又是素数的数。最初几个佩尔素数是：

2, 5, 29, 5741, …… (OEIS中的数列A{{{A}}}[2])。
与斐波那契素数相似，仅当*n*本身是素数时

P
n

{\displaystyle P\_n}

才有可能是素数。

唯一的既是佩尔数又是平方数、立方数或任意整数次方的数是0, 1, 以及169 = 132。

然而，佩尔数与三角平方数有密切的关系。它们出现在以下佩尔数的恒等式中：

(

(

P

k
−
1

P
k

)
⋅

P
k

)

2

=

(

P

k
−
1

P
k

)
2

⋅

(

(

P

k
−
1

P
k

)
2

−
(
−
1

)
k

)

2

.

{\displaystyle \bigl((P\_{k-1}+P\_k)\cdot P\_k\bigr)^2 = \frac{(P\_{k-1}+P\_k)^2\cdot\left((P\_{k-1}+P\_k)^2-(-1)^k\right)}{2}.}

等式的左面是平方数，等式的右面是三角形数，因此是三角平方数。

## 勾股数

佩尔数可以用来产生勾股数，其中*a*和*b*相差一个单位。这个勾股数具有以下形式：

(
2

P

n

P

n
1

,

P

n
1

2

−

P

n

2

,

P

n
1

2

P

n

2

=

P

2
n
1

)
.

{\displaystyle (2P\_{n}P\_{n+1}, P\_{n+1}^2 - P\_{n}^2, P\_{n+1}^2 + P\_{n}^2=P\_{2n+1}).}

用这种方法产生的勾股数的序列是：

(3,4,5), (20,21,29), (119,120,169), (696,697,985), ……
参见
--

佩尔-卢卡斯数
4

第1个合数，同时也是最小的偶合数，正约数有1、2和4。

素因数分解为2^2

第4个亏数，真约数和为3，亏度为1。前一个为3、下一个为5。

第3个高合成数。前一个为2、下一个为6。

第1个半素数。下一个为6。

第2个平方数，为2的平方。前一个为1、下一个为9。

第4个十进制的哈沙德数。前一个为3、下一个为5。

第3个全哈沙德数，即在所有进位制中皆为哈沙德数。前一个为2、下一个为6。

第1个十进制的奢侈数。下一个为6。

十进制中最小的史密夫数。下一个为22。

正方形为第2个可作图多边形。前一个为3、下一个为5。

第2个不含1和2的所有约数减一都是素数的数字，前一个是3，下一个是6。

四面体数

中心三角形数

2+2=2\*2=2^2

自然数中第一个非斐波那契数

4的倍数均是两个平方数的差。

每4个连续的自然数相乘加一，必定会等于一个平方数。

四平方和定理：每个自然数可表示成最多4个平方数的和

正四面体是最小面数的正多面体。

在一个平面的地图上，一定可以用四种颜色来填每个区域而相邻的区域颜色不相同，即四色定理。

最小的非循环群有四个元素，即克莱因四元群。4亦是最小的非简单群的阶。

笛卡儿直角坐标系将平面分成4份。

最基本最常见的四种运算，加、减、乘、除，称之为四则运算。

第四级的超运算为迭代幂次。

数学游戏：4个4。
6

第2个合数，正因数有1、2、3和6。前一个为4、下一个为8。

质因数分解为2\*3。

第1个完全数，其中，6=21\*(22-1)对应的梅森质数为3。下一个为28。

第1个半完全数。下一个为12。

由于6不能被所有比它小的半完全数整除，因此是第1个本原半完全数。下一个为20。

第2个欧尔调和数，因数调和平均数为2。前一个为1、下一个为28。

第4个高合成数。前一个为4、下一个为12。

6是第2个半质数，前一个为4、下一个为9。

连续2个质数的乘积：2\*3=6。下一个为15。

第3个普洛尼克数，为2与3的乘积。前一个为2、下一个为12。

3的阶乘。前一个为2、下一个为24。

第2个质数阶乘，即前2个质数的乘积。前一个为2、下一个为30。

第4个全哈沙德数，即在所有进位制中皆为哈沙德数。前一个为4。同时也是最大的全哈沙德数。

第2个十进制的奢侈数。前一个为4、下一个为8。

正六边形为第4个可作图多边形。前一个为5、下一个为8。

第3个不含1和2的所有因数减一都是质数的数字，前一个是4，下一个是8。

第3个三角形数，第2个六边形数。

6阶希腊拉丁方阵不存在。

除了6的两个质因数2与3，所有质数都可表达为6k±1（k是正整数）的形式。

有6边相等、6角相等的正多边形为正六边形。

自守数,62=36

6=3!（参见阶乘）

6=1\*2\*3=1+2+3
三角平方数

**三角平方数**是既是三角形数，又是平方数的数。三角平方数有无限个，可以由以下公式求得：

N
k

=

1
32

[

(

1

2

)

2
k

−

(

1
−

2

)

2
k

]

2

{\displaystyle N\_k = {1 \over 32} \left[ \left( 1 + \sqrt{2} \right)^{2k} - \left( 1 - \sqrt{2} \right)^{2k} \right]^2 }

找寻三角平方数的问题可用以下方法简化成佩尔方程。每个平方数的形式为

m
2

{\displaystyle m^2}

，三角形数的则为

n
(
n
−
1
)

2

{\displaystyle \frac{n ( n - 1 )}{2}}

。于是求n, m使得：

n
(
n
−
1
)

2

=

m
2

{\displaystyle \frac{n(n-1)}{2}=m^2}

n
(
n
−
1
# )
2

m
2

{\displaystyle n(n-1)=2m^2}

n
2

−
n

1
4

=
2

m
2

1
4

{\displaystyle n^2-n+\frac{1}{4}=2m^2+\frac{1}{4}}

4

n
2

−
4
n
# 1
8

m
2

1

{\displaystyle 4n^2-4n+1=8m^2+1}

(
2
n
−
1

)
2

=
8

m
2

1

{\displaystyle (2n-1)^2=8m^2+1}

设

# k
2
n
−
1

{\displaystyle k = 2n - 1}

，

# p
2
m

{\displaystyle p=2m}

，代入之，得方程

k
2

=
2

p
2

1

{\displaystyle k^2=2p^2+1}

。

第

k

{\displaystyle k}

个三角平方数

N

{\displaystyle N}

等于第

s

{\displaystyle s}

个平方数及第

t

{\displaystyle t}

个三角形数，它们的关系为

s
(
N
# )

N

{\displaystyle s(N) = \sqrt{N} }

t
(
N
# )
⌊

2
N

⌋

{\displaystyle t(N) = \lfloor \sqrt{2 N} \rfloor }

t

{\displaystyle t}

可以由下面的方式得出：

t
(

N
k

# )

1
4

{

[

(

1

2

)

k

(

1
−

2

)

k

]

2

−

[

1
(
−
1

)
k

]

2

}

{\displaystyle t(N\_k) = {1 \over 4} \left\{ \left[ \left( 1 + \sqrt{2} \right)^k + \left( 1 - \sqrt{2} \right)^k \right]^2 - \left[ 1 + (-1)^k \right]^2 \right\} }

N

{\displaystyle N}

亦可用递归的方式求得：

N
0

=
0

{\displaystyle N\_0=0}

N
1

=
1

{\displaystyle N\_1=1}

N
k

=
34

N

k
−
1

−

N

k
−
2

2

{\displaystyle N\_k=34N\_{k-1} - N\_{k-2} + 2}

当

k

{\displaystyle k}

越大，

t
s

{\displaystyle \tfrac{t}{s}}

就会趋近

2

{\displaystyle \sqrt{2}}

：

# t
1

t
s

=
1

# t
8

t
s

=
1.3333333

# t
49

t
s

=
1.4

# t
288

t
s

=
1.4117647

# N
1
,
413
,
721

# t
1681

t
s

=
1.4137931

# N
48
,
024
,
900

# t
9800

t
s

=
1.4141414

# N
1
,
631
,
432
,
881

# t
57121

t
s

=
1.4142011

{\displaystyle \begin{matrix} N=1 & s=1 & t=1 & \frac{t}{s}=1
\\ N=36 & s=6 & t=8 & \frac{t}{s} = 1.3333333
\\ N=1225 & s=35 & t=49 & \frac{t}{s} = 1.4
\\ N=41616 & s=204 & t=288 & \frac{t}{s} = 1.4117647
\\ N=1,413,721 & s=1189 & t=1681 & \frac{t}{s} = 1.4137931
\\ N=48,024,900 & s=6930 & t=9800 & \frac{t}{s} = 1.4141414
\\ N=1,631,432,881 & s=40391 & t=57121 & \frac{t}{s} = 1.4142011
\end{matrix} }

它们实际上是「偶佩尔数」的一半再平方的值。
48

第32个合数，正因数有1、2、3、4、6、8、12、16、24和48。前一个为46、下一个为49。

质因数分解为24\*3

第9个过剩数，真因数和为76，盈度为28。前一个为42、下一个为54。

第11个半完美数，和为本身的其中一组因数为1、2、3、6、8、12、16。前一个为42、下一个为54。

第8个高合成数。前一个为36、下一个为60。

第22个十进制的哈沙德数。前一个为45、下一个为50。

第23个十进制的奢侈数。前一个为46、下一个为50。

正四十八边形为第17个可作图多边形。前一个为40、下一个为51。

48和75组成最小的一对婚约数。

6的双阶乘。

第6个整数的双阶乘(OEIS中的数列A6882[1])。前一个为15、下一个为105。

第3个阶乘的双阶乘。上一个为2，下一个为1961990553600

第3个十七边形数(OEIS中的数列A51869[2]) 前一个为17、下一个为94。
17

第7个质数。前一个为13、下一个为19。

第4对孪生质数之一，其为（17、19）。

第3个费马质数(222+1)。前一个为5、下一个为257。

第3个毕达哥拉斯质数。前一个为13、下一个为29。

第4个普罗斯质数

第2个反质数

第2个强质数

第3个瓦格斯塔夫质数

第4个危险质数。前一个是13、下一个是19。

第4个爱森斯坦质数。

四胞胎质数之一（11，13，17，19）；下一个组合为（101，103，107，109）。

此数字虽然是质数，但不是高斯质数。前一个有此性质的自然质数是13、下一个是29。（OEIS数列A002313）

第15个亏数，真约数和为1，亏度为16。前一个为16、下一个为19。

第11个不寻常数，大于平方根的素因数为17。前一个为15、下一个为19。

第12个无平方数约数的数。前一个为15、下一个为19。

第12个十进制的等数位数。前一个为16、下一个为19。

正十七边形为第10个可作图多边形。前一个为16、下一个为20。1798年，高斯首次以尺规作图画出正十七边形。

连续四次方之和（1+16）

唯一一个形式如pq+qp的质数，其中p, q也是质数：23+32=17

面对称群的数目。

17以内的质数的平方和等于666（4+9+25+49+121+169+289=666)

相反数-17为僵尸数，即位数和（首位含负号）的平方与自身的和大于零的负数，即-17+(-1+7)2=19>0,前一个为-18，后一个为-16（OEIS数列A328933）。
101

## 数学性质

第26个质数，前一个是97，后一个是103。

第9对孪生质数之一

第2对四胞胎质数之一

瓦格斯塔夫质数。

非正则质数

第4个唯一质数。

第6个回文质数。

高斯整数分解=此数字虽然是自然质数，但不是高斯质数。前一个有此性质的自然质数是97、下一个是109。 (OEIS中的数列A2313[1])

此数字虽然是自然质数，但不是高斯质数。前一个有此性质的自然质数是97、下一个是109。 （OEIS数列A002313）

101是5个连续质数之和：13 + 17 + 19 + 23 + 29

101是整数分拆13的方法数目。

101是中心十边形数。

101是五角星数。

数5在二进制中表示为101。

101是十进制中，最小的三位回文数。

101 = 5! - 4! + 3! - 2! + 1!

11与101是仅有的两个已知的100000...000001质数
29

性质
--

第10个质数。前一个为23、下一个为31。

第5对孪生质数为（29、 31）。前一对为(17,19)、下一对为(41,43)。

第6个索菲热尔曼质数：对应安全质数为59

第3个强质数

可表示成5#-1，为质数阶乘质数。

第6个危险质数。前一个是19、下一个是31。

此数字虽然是质数，但不是高斯质数。前一个有此性质的自然质数是17、下一个是37。(OEIS中的数列A2313[1])

第23个亏数，真约数和为1，亏度为28。前一个为27、下一个为31。

第19个不寻常数，大于平方根的素因数为29。前一个为28、下一个为31。

第18个无平方数约数的数。前一个为26、下一个为30。

第5个佩尔数。前一个为12、下一个为70。

第3个同时是配尔数和卢卡斯数的数，前一个是2。

第8个卢卡斯数，前一个是18、下一个是47。

第18个十进制的等数位数。前一个为27、下一个为31。

三个连续正方形数的和（4+9+16）。

十二进制的水仙花数((22)12+(52)12=(25)12)(OEIS中的数列A161949[2])。

相反数-29为僵尸数，即位数和（首位含负号）的平方与自身的和大于零的负数，即-29+(-2+9)2=20>0前一个为-159，后一个为-28(OEIS中的数列A328933[3])。
Aerosmith

**Aerosmith CONTROLS**

**Left Hand Trigger -** Aerosmith fires a barrage of bullets continuously until the trigger is released

**Kick -** Aerosmith deploys a bomb under it, hurting those except the user.

*Aerosmith can be obtained from casting the Aerosmith spell.*

Aerosmith notes

Aerosmith can be used despite not being equipped but the controls do not change. Holding Aerosmith using magic will allow you to use it's bomb more effectively, as the bomb will make you lose grip of Aerosmith if deployed at a close range.
Time Bypass

Stands that have control over Time or Gravity will not be affected by SloMo. Their animations and attacks will stay the same speed while in SloMo allowing you to attack incredibly fast even when everything else is slow

## ***Stands with Time Bypass***

-Gold Experience Requiem

-C-Moon

-Made in Heaven

-King Crimson

-The World

-The World Over Heaven

-THE WORLD

-Tusk Act 4
质数

质数是只有两个正因数的数（1与本身）。大于1的自然数不是质数，就是合数。

由所有质数组成之集合通常标记为P。

前168个质数，即所有小于1000的质数，为2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997(OEIS中的数列A40[1])。

质数对于数论与一般数学的重要性来自于“算术基本定理”。该定理指出，每个大于1的整数均可写成一个以上的质数之乘积，且除了质因数的排序不同外是唯一的。

历史
--

在古埃及人的幸存纪录中，有迹象显示他们对质数已有部分认识：例如，在莱因德数学纸草书中的古埃及分数展开时，对质数与对合数有着完全不同的类型。不过，对质数有过具体研究的最早幸存纪录来自古希腊。公元前300年左右的《几何原本》包含与质数有关的重要定理，如有无限多个质数，以及算术基本定理。 欧几里得亦展示如何从梅森质数建构出完全数。埃拉托斯特尼提出的埃拉托斯特尼筛法是用来计算质数的一个简单方法，虽然今天使用电脑发现的大质数无法使用这个方法找出。

希腊之后，到17世纪之前，质数的研究少有进展。 1640年，皮埃尔·德·费马叙述了费马小定理（之后才被莱布尼茨与欧拉证明）。费马亦推测，所有具

2

2
n

1

{\displaystyle 2^{2^n} + 1}

形式的数均为质数（称之为费马数），并验证至

# n
4

{\displaystyle n = 4}

（即216 + 1）不过，后来由欧拉发现，下一个费马数232 + 1即为合数，且实际上其他已知的费马数都不是质数。法国修道士马兰·梅森发现有的质数具

2
p

−
1

{\displaystyle 2^p - 1}

的形式，其中

p

{\displaystyle p}

为质数。为纪念他的贡献，此类质数后来被称为梅森质数。

欧拉在数论中的成果，许多与质数有关。他证明无穷级数

1
2

1
3

1
5

1
7

1
11

…

{\displaystyle \frac{1}{2}+\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+\frac{1}{11}+\ldots}

会发散。 1747年，欧拉证明每个偶完全数都确实为

2

p
−
1

(

2
p

−
1
)

{\displaystyle 2^{p-1}(2^p-1)}

的形式，其中第二个因数为梅森质数。

19世纪初，勒壤得与高斯独立推测，当

x

{\displaystyle x}

趋向无限大时，小于

x

{\displaystyle x}

的质数数量会趋近于

x

ln
⁡
x

{\displaystyle \frac{x}{\ln x}}

，其中

ln
⁡
x

{\displaystyle \ln x}

为

x

{\displaystyle x}

的自然对数。黎曼于关于小于给定值的质数(On the Number of Primes Less Than a Given Magnitude)(1859年有关ζ函数的论文)中勾勒出一个程式，导出了质数定理的证明。其大纲由雅克·阿达马与查尔斯·贞·德·拉·瓦莱-普森(Charles Jean de la Vallée-Poussin)所完成，他们于1896年独立证明出质数定理。

证明一个大数是否为质数通常无法由试除法来达成。许多数学家已研究过大数的质数测试，通常局限于特定的数字形式。其中包括费马数的贝潘测试(Pépin's test)（1877年）、普罗丝定理（约1878年）、卢卡斯-莱默质数判定法（1856年起）及广义卢卡斯质数测试(Lucas primality test)。较近期的演算法，如Adleman–Pomerance–Rumely primality test、椭圆曲线质数证明(Elliptic curve primality)(ECPP)及AKS等，均可作用于任意数字上，但仍慢上许多。

长期以来，质数被认为在纯数学以外的地方只有极少数的应用。例如，Beiler写道，数论学家恩斯特·库默尔热爱他的理想数，该数与质数密切相关，「因为这些数没有被任何实际应用所玷污」。 Katz则写道，爱德蒙·兰道（他最为人所知的是对质数分布的相关研究）「厌恶数学的实际应用」，且因为这个理由，规避几何等已知有所用途之学科。到了1970年代，发明公共密钥加密这个概念之后，情况改变了，质数变成了RSA加密演算法等一阶演算法之基础。

自1951年以来，所有已知最大的质数都由电脑所发现。对更大质数的搜寻已在数学界以外的地方产生出兴趣。 网际网路梅森质数大搜索及其他用来寻找大质数的分散式运算计画变得流行，在数学家仍持续与质数理论奋斗的同时。

## 存在无限多个质数的证明

利用反证法，假设只有p1,p2,…,pn这n个质数，这p1p2…pn+1的质因数不是p1，p2，…，pn中的任何一个，矛盾。
数表

# 按顺序的自然数(A27)

## 0~99

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99

## 100~199

100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199

## 200~300

200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299

# 质数类

## 质数(A40)

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541 547 557 563 569 571 577 587 593 599 601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691 701 709 719 727 733 739 743 751 757 761 769 773 787 797 809 811 821 823 827 829 839 853 857 859 863 877 881 883 887 907 911 919 929 937 941 947 953 967 971 977 983 991 997

# 组合类

## 排列(A78760)

1
1
1 2
1 3 6
1 4 12
1 5 20 60
1 6 30 120
1 7 42 210 840
1 8 56 336 1680
1 9 72 504 3024 15120
1 10 90 720 5040 30240
1 11 110 990 7920 55440 332640
1 12 132 1320 11880 95040 665280
1 13 156 1716 17160 154440 1235520 8648640
1 14 182 2184 24024 240240 2162160 17297280

## 组合(A34808)

1
1
1 2
1 3
1 4 6
1 5 10
1 6 15 20
1 7 21 35
1 8 28 56 70
1 9 36 84 126
1 10 45 120 210 252
1 11 55 165 330 462
1 12 66 220 495 792 924
1 13 78 286 715 1287 1716
1 14 91 364 1001 2002 3003 3432

# 次方类

## 平方数

0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 841 900 961 1024 1089 1156 1225 1296 1369 1444 1521 1600 1681 1764 1849 1936 2025 2116 2209 2304 2401 2500 2601 2704 2809 2916 3025 3136 3249 3364 3481 3600 3721 3844 3969 4096 4225 4356 4489 4624 4761 4900 5041 5184 5329 5476 5625 5776 5929 6084 6241 6400 6561 6724 6889 7056 7225 7396 7569 7744 7921 8100 8281 8464 8649 8836 9025 9216 9409 9604 9801

## 立方数

0 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 9261 10648 12167 13824 15625 17576 19683 21952 24389 27000 29791 32768

## 2的次方

1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536