Receiving Helpdesk

first 20 square numbers

by Mr. Buford Huel III Published 4 years ago Updated 2 years ago

Square Numbers List

Number Square
17 289 =17 X 17
18 324 =18 X 18
19 361 =19 X 19
20 400 =20 X 20
Jun 12 2022

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, and 400.Sep 12, 2021

Full Answer

What are the first 20 perfect squares?

  • Question 1 SURVEY 30 seconds Q. ...
  • Question 2 SURVEY 30 seconds Q. ...
  • Question 3 SURVEY 30 seconds Q. ...
  • Question 4 SURVEY 30 seconds Q. ...
  • Question 5 SURVEY 30 seconds Q. ...
  • Question 6 SURVEY 30 seconds Q. ...
  • Question 7 SURVEY 30 seconds Q. ...
  • Question 8 SURVEY 30 seconds Q. ...
  • Question 9 SURVEY 30 seconds Q. ...
  • Question 10 SURVEY 30 seconds Q. ...

More items...

What are the first 10 perfect square numbers?

The first 10 perfect square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. The first 10 perfect square numbers are the first 10 natural… Is 10 a perfect square number? In mathematics, a square is a product of a whole number with itself. For instance, the product of a number 2 by itself is 4.

What are the first 20 perfect numbers?

  • The only even perfect number of the form x3 + 1 is 28 ( Makowski 1962 ).
  • 28 is also the only even perfect number that is a sum of two positive cubes of integers ( Gallardo 2010 ).
  • The reciprocals of the divisors of a perfect number N must add up to 2 (to get this, take the definition of a perfect number, σ 1 ( n ) ...

More items...

What are the first 20 square root numbers?

Square 1 to 20:

  • Exponent form: (x) 2
  • Highest Value: 20 2 = 400
  • Lowest Value: 1 2 = 1

What are the first 25 square numbers?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

What are the first 21 square numbers?

Square Numbers ListNumberSquare18324=18 X 1819361=19 X 1920400=20 X 2021441=21 X 2117 more rows

What are the first 20 square roots?

Square, Cube, Square Root and Cubic Root for Numbers Ranging 0 - 100Number xSquare x2Square Root x1/2183244.243193614.359204004.472214414.58392 more rows

How many square numbers are there in 20?

So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring....List of Perfect Squares.NUMBERSQUARESQUARE ROOT183244.243193614.359204004.472214414.58396 more rows

What are the square numbers 1 to 30?

They are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.

What are the first 30 square numbers?

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ... 2, 5, 8, 10, 13, 17, 18, 20, 25, 26, 29, 32, ... 50, 65, 85, 125, 130, 145, 170, 185, 200, ... 3, 6, 9, 11, 12, 14, 17, 18, 19, 21, 22, 24, ...

What are the square numbers 1 to 100?

From 1 to 100, the value of squares of numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98 will be even and the value of squares of numbers 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 ...

What is the square of √ 20?

The square root of 20 is expressed as √20 in the radical form and as (20)½ or (20)0.5 in the exponent form. The square root of 20 rounded up to 8 decimal places is 4.47213595....Square Root of 20.1.What Is the Square Root of 20?6.Thinking Out of the Box!4 more rows

How do I find the square root of 20?

0:062:03Find the Square Root of 20 - YouTubeYouTubeStart of suggested clipEnd of suggested clipThe pair of twos. And 5 remains under the radical. Sign so the exact square root of 20 is 2 squareMoreThe pair of twos. And 5 remains under the radical. Sign so the exact square root of 20 is 2 square root 5..

Which is a square number?

A square number is the result when a number has been multiplied by itself. For example, 25 is a square number because it's 5 lots of 5, or 5 x 5. This is also written as 52 (“five squared”). 100 is also a square number because it's 102 (10 x 10, or “ten squared”).

What are the first 12 square numbers?

The first 12 perfect squares are: {1, 4, 9, 25, 36, 49, 64, 81, 100, 121, 144...} Perfect squares are used often in math. Try to memorize these familiar numbers so that you can recognize them as they are used in many math problems. The first five squares of the negative integers are shown below.

What is the first square number?

1Square Numbers The first square number is 1 because 1 × 1 = 1 . The third square number is 9 because 3 × 3 = 9 , and so on. The first fifteen square numbers are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 and 225.

How do you find the square root of 21?

0:002:21Square Root 21 - YouTubeYouTubeStart of suggested clipEnd of suggested clipAs 4 is because 4 squared is 16. And the reason we can rewrite the square root of 25 as 5 is becauseMoreAs 4 is because 4 squared is 16. And the reason we can rewrite the square root of 25 as 5 is because 5 squared is 25.. Now we can see that the square root of 21 lies between 4 and 5..

What is the perfect square of 21?

A perfect square is a number that is generated by multiplying two equal integers by each other. For example, the number 9 is a perfect square because it can be expressed as a product of two equal integers: 9 = 3 x 3....Example 1.IntegerPerfect square19 x 1936120 x 2040021 x 2144122 x 2248421 more rows

What are the first 12 square numbers?

The first 12 perfect squares are: {1, 4, 9, 25, 36, 49, 64, 81, 100, 121, 144...} Perfect squares are used often in math. Try to memorize these familiar numbers so that you can recognize them as they are used in many math problems. The first five squares of the negative integers are shown below.

How many square numbers are there between 1 and 100?

Answer: There are 8 perfect squares between 1 and 100.

What is the value of a square from 1 to 20?

Square 1 to 20 is the list of squares of all the numbers from 1 to 20. The value of squares from 1 to 20 ranges from 1 to 400. Memorizing these values will help students to simplify the time-consuming equations quickly. The Square 1 to 20 in the exponential form is expressed as (x) 2.

What is the value of 1 to 20?

The value of square 1 to 20 is the list of numbers obtained by multiplying a non-fraction integer by itself. It will always be a positive number. Between 1 to 20, the numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 are even square numbers and 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 are odd square numbers.

What are even numbers?

The even numbers between 1 to 20 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Since the squares of even numbers are always even. Therefore, the value of squares of numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 will be even.

What are Square Numbers?

When an integer is multiplied by the same integer, the resultant number is known as a square number. For example, when we multiply 5 × 5 = 5 2, we get 25. Here, 25 is a square number. Square numbers are always positive, they cannot be negative because when a negative number is multiplied by the same negative number, it results in a positive number.

Properties of Square Numbers

The properties of square numbers are listed below which helps to identify them easily.

List of Square Numbers from 1 to 100

Here is a list of square numbers from 1 to 100 which helps to solve problems related to square numbers.

FAQs on Square Numbers

The number that is obtained by multiplying an integer by itself is known as a square number. Suppose, 'n' is an integer, then the square number of 'n' is (n × n) or n 2. For example, in 9 × 9 = 81, 81 is a square number.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.21PHP Version376msRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[21:38:28] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[21:38:28] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[21:38:28] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[21:38:28] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[21:38:28] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[21:38:28] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:38:28] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:38:28] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:38:28] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:38:28] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:38:28] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:38:28] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:38:28] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[21:38:28] LOG.warning: mt_rand(): Passing null to parameter #2 ($max) of type int is deprecated in ...
  • Booting (11.97ms)
  • Application (364ms)
  • 1 x Application (96.71%)
    363.89ms
    1 x Booting (3.18%)
    11.97ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      Params
      0
      post
      1
      postContent
      2
      author
      3
      updated_at
      4
      bing_rich_snippet_text
      5
      bing_rich_snippet_link
      6
      bing_related_keywords
      7
      google_related_keywords
      8
      bing_news_title
      9
      bing_news_description
      10
      bing_videos
      11
      bing_images
      12
      bing_search_result_title
      13
      bing_search_result_description
      14
      bing_search_result_url
      15
      bing_paa_questions
      16
      bing_paa_answers
      17
      bing_slider_faq_questions
      18
      bing_slider_faq_answers
      19
      bing_pop_faq_questions
      20
      bing_pop_faq_answers
      21
      bing_tab_faq_questions
      22
      bing_tab_faq_answers
      23
      google_faq_questions
      24
      google_faq_answers
      25
      google_rich_snippet
      26
      google_search_result
      27
      indexedArray
      28
      total_images
      29
      total_videos
      30
      settings
      31
      url_current
      32
      menus
      33
      sidebar
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed343ms
    • select * from `posts` where `published_at` <= '2025-06-09 21:38:28' and `slug` = 'first-20-square-numbers' and `posts`.`deleted_at` is null limit 1
      2.53ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-09 21:38:28
      • 1. first-20-square-numbers
      Backtrace
      • 15. /app/Providers/RouteServiceProvider.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
      • 19. Route binding:39
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 7288 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      2.45msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 7288
      • 1. 0
      Backtrace
      • 19. middleware::checkdate:30
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
      • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      560μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      Metadata
      Bindings
      • 0. header
      Backtrace
      • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      500μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      240μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Backtrace
      • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      337ms/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      Metadata
      Bindings
      • 0. publish
      Backtrace
      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
    • select * from `fake_users` where `fake_users`.`id` = 22081 limit 1
      400μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 22081
      Backtrace
      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        tDH7F7irU0o1QEsfAUalv9XKOASg3AvM5iVTpoCg
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/first-20-square-numbers" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /first-20-square-numbers
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:25 [ "cookie" => array:1 [ 0 => "_pk_id.64.7c30=5382fca5f46e998a.1749485289.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkgvRTY5WE4rbXZ5NGhLck9yOVU4Umc9PSIsInZhbHVlIjoiYk1aN2dnelAvM0hQcUtvMVJUWDBrWG0rU08vMUVZOGhZUVUwVE9ROG1mSENkTVNqTnNEUDVjUFZCUDBUeDNhWkM0SVJvY1B0OXhxT3B6VFVDeCtCaUtoaDFabm5XME43UyswZjNVRXNvNVJQNkdZSlg1Mm9BTERXSVJCelk0SVYiLCJtYWMiOiI5Y2YxZTExOTEzZTQ0ZTlmODIxODcyMTA4ZjRlNzQ1YWFhMjNlODI1MGFlMmFiNGEzMmEwMWI1MTJhNGM2YjRhIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6InQ2K3V3bkVqYXZJeEJlRDMyUURSMGc9PSIsInZhbHVlIjoiN2V3M3VtSUJ1RmJJWEwrL0tlbGxrZU9RS3N6SlNCNm9xbEJYUzR1dDZsVGpOVU10b2ZZNjd4RTAwYjFpTlFnQWZZUXc1QWltbGNtY3hNSlFCTnRwTldzYjlXeWQxMEI0dGJSYm9WdlY5aGZoeHQyMXlTWWJKb0pZakoyWktmcXEiLCJtYWMiOiI2NGUyODU2MDA3NGMzMjg5NTZhZTkwMjk3ZGRkZjI2ZGUxNTI3N2Y3ZmQ5ZGEyMTUwNzVlYWMwOGJiNjlmOTg3IiwidGFnIjoiIn0%3D_pk_id.64.7c30=5382fca5f46e998a.1749485289.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkgvRTY5WE4rbXZ5NGhLck9yOVU4Umc9PSIsInZhbHVlIjoiYk1aN2dnelAvM0hQcUtvMVJUWDBrW" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.56" ] "cdn-loop" => array:1 [ 0 => "cloudflare; loops=1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "accept-encoding" => array:1 [ 0 => "gzip, br" ] "cf-ray" => array:1 [ 0 => "94d1e34ba808e81d-ORD" ] "priority" => array:1 [ 0 => "u=0, i" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "cf-visitor" => array:1 [ 0 => "{"scheme":"https"}" ] "connection" => array:1 [ 0 => "close" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "216.73.216.56, 172.71.255.103" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:56 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/first-20-square-numbers" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/first-20-square-numbers" "REMOTE_PORT" => "51922" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "172.71.255.103" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_COOKIE" => "_pk_id.64.7c30=5382fca5f46e998a.1749485289.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkgvRTY5WE4rbXZ5NGhLck9yOVU4Umc9PSIsInZhbHVlIjoiYk1aN2dnelAvM0hQcUtvMVJUWDBrWG0rU08vMUVZOGhZUVUwVE9ROG1mSENkTVNqTnNEUDVjUFZCUDBUeDNhWkM0SVJvY1B0OXhxT3B6VFVDeCtCaUtoaDFabm5XME43UyswZjNVRXNvNVJQNkdZSlg1Mm9BTERXSVJCelk0SVYiLCJtYWMiOiI5Y2YxZTExOTEzZTQ0ZTlmODIxODcyMTA4ZjRlNzQ1YWFhMjNlODI1MGFlMmFiNGEzMmEwMWI1MTJhNGM2YjRhIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6InQ2K3V3bkVqYXZJeEJlRDMyUURSMGc9PSIsInZhbHVlIjoiN2V3M3VtSUJ1RmJJWEwrL0tlbGxrZU9RS3N6SlNCNm9xbEJYUzR1dDZsVGpOVU10b2ZZNjd4RTAwYjFpTlFnQWZZUXc1QWltbGNtY3hNSlFCTnRwTldzYjlXeWQxMEI0dGJSYm9WdlY5aGZoeHQyMXlTWWJKb0pZakoyWktmcXEiLCJtYWMiOiI2NGUyODU2MDA3NGMzMjg5NTZhZTkwMjk3ZGRkZjI2ZGUxNTI3N2Y3ZmQ5ZGEyMTUwNzVlYWMwOGJiNjlmOTg3IiwidGFnIjoiIn0%3D_pk_id.64.7c30=5382fca5f46e998a.1749485289.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkgvRTY5WE4rbXZ5NGhLck9yOVU4Umc9PSIsInZhbHVlIjoiYk1aN2dnelAvM0hQcUtvMVJUWDBrW" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.56" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_CF_RAY" => "94d1e34ba808e81d-ORD" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.56, 172.71.255.103" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1749485308.7602 "REQUEST_TIME" => 1749485308 ]
        request_cookies
        0 of 0
        array:4 [ "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null "XSRF-TOKEN" => "tDH7F7irU0o1QEsfAUalv9XKOASg3AvM5iVTpoCg" "askhelpdesk_session" => "iBPbwDv9bpAtrFHJEF1hGtTKkq0aQsUgeVNp6BX5" ]
        response_headers
        0 of 0
        array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "private, must-revalidate" ] "date" => array:1 [ 0 => "Mon, 09 Jun 2025 16:08:28 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjZwK2lQN2FaK3ZVVXFCK3lUQkVtM0E9PSIsInZhbHVlIjoiYzRHdlJ1NGZqMmdEZ3RieGpDVThYdWh1ajF2cVhtS1B2bWRKd1dqYzEvTWNnWm5rc3RhMFFnTEVWVVR2dUsxUnBJb0R2cC9sVUNiTzlMbmJjeS9WODd3ZjhBUXovNjk0S2VPVEdTOWlUT0RLekZnZ0s3MXpTeTgzVFh2eWowNmoiLCJtYWMiOiIxMWZlODM4M2JkYTAxODk3NzcxZmE0YzI1ZTE3MDk1NTk0OGJjNTVjOGMwNmI5NTMzOWI3MjZlMDE4ODdkNjk4IiwidGFnIjoiIn0%3D; expires=Mon, 09-Jun-2025 18:08:29 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IjZwK2lQN2FaK3ZVVXFCK3lUQkVtM0E9PSIsInZhbHVlIjoiYzRHdlJ1NGZqMmdEZ3RieGpDVThYdWh1ajF2cVhtS1B2bWRKd1dqYzEvTWNnWm5rc3RhMFFnTEVWVVR2dUsxUnBJb0R2c" 1 => "askhelpdesk_session=eyJpdiI6ImFlZUdNM3lFdG03SnBxQmUyK3hjdFE9PSIsInZhbHVlIjoidExwOG9HRnU2dXJKelJONFpOcDU1em9pdWl0R21rS1BHNEFNRDdTT1pNajhVa1NvZmpMWWs2Q1ZCOVhObnB3UXFFNFRkdm9RWjZYS21HcDNOR0dpck94aUhJWHdreXEyWU9uM2RRbnJBbk0yTjJxejJqbThZT0ordDgwZG1HeVgiLCJtYWMiOiI0OTAwMjc4NTJkZmFkMGI1Nzc3MWMzMDczMGJkN2JkZDBjZDUyYzViYWRkZTliYTJmZThkOWVkYjc4ZThiMTdmIiwidGFnIjoiIn0%3D; expires=Mon, 09-Jun-2025 18:08:29 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6ImFlZUdNM3lFdG03SnBxQmUyK3hjdFE9PSIsInZhbHVlIjoidExwOG9HRnU2dXJKelJONFpOcDU1em9pdWl0R21rS1BHNEFNRDdTT1pNajhVa1NvZmpMWWs2Q1ZCOVhObnB3" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjZwK2lQN2FaK3ZVVXFCK3lUQkVtM0E9PSIsInZhbHVlIjoiYzRHdlJ1NGZqMmdEZ3RieGpDVThYdWh1ajF2cVhtS1B2bWRKd1dqYzEvTWNnWm5rc3RhMFFnTEVWVVR2dUsxUnBJb0R2cC9sVUNiTzlMbmJjeS9WODd3ZjhBUXovNjk0S2VPVEdTOWlUT0RLekZnZ0s3MXpTeTgzVFh2eWowNmoiLCJtYWMiOiIxMWZlODM4M2JkYTAxODk3NzcxZmE0YzI1ZTE3MDk1NTk0OGJjNTVjOGMwNmI5NTMzOWI3MjZlMDE4ODdkNjk4IiwidGFnIjoiIn0%3D; expires=Mon, 09-Jun-2025 18:08:29 GMT; path=/XSRF-TOKEN=eyJpdiI6IjZwK2lQN2FaK3ZVVXFCK3lUQkVtM0E9PSIsInZhbHVlIjoiYzRHdlJ1NGZqMmdEZ3RieGpDVThYdWh1ajF2cVhtS1B2bWRKd1dqYzEvTWNnWm5rc3RhMFFnTEVWVVR2dUsxUnBJb0R2c" 1 => "askhelpdesk_session=eyJpdiI6ImFlZUdNM3lFdG03SnBxQmUyK3hjdFE9PSIsInZhbHVlIjoidExwOG9HRnU2dXJKelJONFpOcDU1em9pdWl0R21rS1BHNEFNRDdTT1pNajhVa1NvZmpMWWs2Q1ZCOVhObnB3UXFFNFRkdm9RWjZYS21HcDNOR0dpck94aUhJWHdreXEyWU9uM2RRbnJBbk0yTjJxejJqbThZT0ordDgwZG1HeVgiLCJtYWMiOiI0OTAwMjc4NTJkZmFkMGI1Nzc3MWMzMDczMGJkN2JkZDBjZDUyYzViYWRkZTliYTJmZThkOWVkYjc4ZThiMTdmIiwidGFnIjoiIn0%3D; expires=Mon, 09-Jun-2025 18:08:29 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6ImFlZUdNM3lFdG03SnBxQmUyK3hjdFE9PSIsInZhbHVlIjoidExwOG9HRnU2dXJKelJONFpOcDU1em9pdWl0R21rS1BHNEFNRDdTT1pNajhVa1NvZmpMWWs2Q1ZCOVhObnB3" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "tDH7F7irU0o1QEsfAUalv9XKOASg3AvM5iVTpoCg" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/first-20-square-numbers" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]