RGB Color Viewer - 2 - c sharp - 180227Tu

RGB color viewer in c#

.

(Displays RGB colors and let them pick)

(Written by me in c# 2010)

Version: 180227Tu

.

A few decades ago I made an application in html/JScript in windows 98 running over Pentium 2 for viewing all colors available in 24bit RGB. Result was excellent and exciting. I was able to watch all possible colors in one place so easily. Plus it was so colorful also. Then a few years ago I repeated that application in c# and this time I did that for viewing all 32bit ARGB colors. Result of this time was exciting again.

Every thing was going so fine and ok but suddenly a problem arises. Problem I was facing was that I was not able to find lighter or darker color easily for selected RGB color by scrolling Red, Green or Blue color values.  Then I stumbled upon HSB/HSL color space and my problem got solved. But then new problem started. This time problem was to get any color in RGB color space and then get it's lighter or darker shade in HSB/HSL color space. So I made an application in c# for doing so. During that process I made some other utility applications as well.

One of those application was to display HSB colors with ability to copy selected color to clipboard. In that application colors were displayed via 2 colored rectangles. First I called Z box and initially used that for displaying Hue of HSB color. Second I called XY box and initially used that for displaying Brightness and Saturation of HSB color. During that process I found that by changing assignments for XYZ axis in both boxes, color view in XY box becomes interestingly different.

After that I made another application, this time for RGB color space. And I am sharing code for this RGB color space application here.

..

Salient features of application:

In this application colors are displayed vie 2 color boxes. One is called Z box and other is called XY box. Initially Blue color is assigned to Z box. Green color is assigned to Y of XY box and Red color is assigned to X of XY box. Color assignment for XY and Z can be changed via 'Axis' menu. Color can be selected by mouse click, scrolling scroll bars or by entering values in Red, Green and Blue fields. Selected color's values are displayed in RGB and HSB section. Selected color can be copied to clipboard in decimal or hex format for bot RGB and HSB. All this is explained in 'How to use' and 'User Interface' of help menu'

.

Screen shots of 'RGB Color viewer' with description:

Following are screen shots of 'RGB Color viewer' at different stages with their description.

.

Application on Load:

'RGB Color viewer' looks like in the following image when it loads. Menus are on top line and status is at bottom line. Area in between them is divided in 2 columns.  In left column are 2 colored rectangles and 3 scroll bars. Rectangles display Red, Green and Blue part of RGB color. Scroll bars are for selecting value of respective color. In right column selected color information is displayed. At start Z is Blue, Y is Green and X is Red and their initial values are 175, 128, 128.

.

.

.

Help menu expanded:

'RGB Color viewer' looks like in the following image when help menu is clicked. Showing it's 5 options: About, Purpose, User interface, How to use and Copyright. Each option of help menu is shown and explained separately in following.

.

.

.

Help/About:

'RGB Color viewer' looks like in the following image when 'About' in 'Help' menu is clicked. This menu-item displays basic information about application and it's author.

.

.

.

Help/Purpose:

'RGB Color viewer' looks like in the following image when 'Purpose' in 'Help' menu is clicked. This menu-item displays text explaining purpose of the application.

.

.

.

Help/User interface:

'RGB Color viewer' looks like in the following image when 'User interface' in 'Help' menu is clicked. This menu option explains application's user interface as visible in following image.

.

.

.

Help/How to use:

'RGB Color viewer' looks like in the following image when 'How to use' in 'Help' menu is clicked. This menu option explains how to use this application as visible in following image.

.

.

.

Help/Copyright:

'RGB Color viewer' looks like in the following image when 'Copyright' in 'Help' menu is clicked. This menu-item displays copyright text for this application.

.

.

.

Help/Axis:

'RGB Color viewer' looks like in the following image when 'Axis' menu is clicked. Showing it's 6 options with all possible color combinations for xyz axis. Clicking on any of these options updates colors of xyz axis.

.

.

.

Colors for axis changed:

'RGB Color viewer' looks like in the following image when 'RGB (ZXY)' is clicked in 'Axis' menu. Colors for X, Y and Z axis are changed and Z and XY boxes are updated.

.

.

.

Help/Copy:

'RGB Color viewer' looks like in the following image when 'Copy' menu is clicked. This menu allows copying to clipboard RGB or HSB values in decimal or hex.

.

.

.

Outputs for all Axiz values:

I liked the look of colors in XY box when I changed axis values from 'Axis' menu and enjoyed as well. All options from 'Axis' menu gave good looking result. Screen shot of 'RGB Color viewer' for all axis values when values for Red, Green and Blue are set to 128 are displayed in following images.

.

XYZ:

'RGB Color viewer' looks like in the following image when axis is set to XYZ by clicking 'RGB (XYZ)' in 'Axis' menu.

.

.

.

XZY:

'RGB Color viewer' looks like in the following image when axis is set to XZY by clicking 'RGB (XZY)' in 'Axis' menu.

.

.

.

YXZ:

'RGB Color viewer' looks like in the following image when axis is set to YXZ by clicking 'RGB (YXZ)' in 'Axis' menu.

.

.

.

YZX:

'RGB Color viewer' looks like in the following image when axis is set to YZX by clicking 'RGB (YZX)' in 'Axis' menu.

.

.

.

ZXY:

'RGB Color viewer' looks like in the following image when axis is set to ZXY by clicking 'RGB (ZXY)' in 'Axis' menu.

.

.

.

ZYX:

'RGB Color viewer' looks like in the following image when axis is set to ZYX by clicking 'RGB (ZYX)' in 'Axis' menu.

.

.

.

[Note: During first posting] During development I gave this application 'Color-Model-RGB-Space-RGB-2' as name but during writing this post I used 'RGB-Color-Viewer-2' as it's name. In it's next version I will use 'RGB-Color-Viewer-x'' as it's name during development also.

[Note: 2018 02 27 Tue _ PST 05:52 PM] LoL by mistake during development (for changing name of project) I gave it 'RGB_Color_Viewer_01' name but in this post I used 'RGB-Color-Viewer-2' as it's name. I am not going to change anything (project's name or post's title) any more.

.

Enjoy Complete Source code of application written and compiled in visual studio 2010 Ultimate by me. Download it. Extract it. Read 'ReadMeFirst.txt' file and do as is explained in it.

Pakistan international highway - 180217Sa

Pakistan International Highway - PIH (Pakistan's proposed international level highway) . While watching travel videos, reading travel blogs and thinking and researching on highways in Pakistan and creating multilevel highway system for Pakistan in my mind an idea visited my mind to have an another type of highway called 'Pakistan International Highway' to connect Pakistan's neighboring countries with each-other via Pakistan. Before I give details of idea first look at the map of Pakistan as shown in "Fig: 1". On one side of Pakistan is sea and on other sides are four countries. Through PIH we will connect all 4 neighboring countries and sea with each other. . Now look at the abstract map of Pakistan as shown in "Fig: 2" I made to make things easy to make. On one side of Pakistan is sea and on other sides are four countries. . During process of understanding think Pakistan looks like a pentagon. A pentagon with a circle (cyan circle) in it's center and 5 other circles (black circles) one each on middle of it's each sides. All circles on center of pentagon's sides connected to the circle on pentagon's center. Black circles on the sides of pentagon are international exit/entry check-points on the border. Cyan circle in the middle of pentagon is highway intersection, connecting all PIH sections 'sub-highways' together. Now transform Pakistan's pentagon like abstract map  to the actual map of Pakistan and PIH will adjust according to this transformation also. Result will be actual highway on actual map. As simple as it is. People with valid documents eg passport/visa(a kind of transit visa) etc will enter from one check-point and exit from other check-point without getting out of this highway system. There will be enough basic amenities like hotels, camping sites and petrol pumps etc beside this highway system to make sure there will be no need for highway users to get out of highway system. People with normal visa will be able to get out of highway system and re enter at specified/allowed points. I made different ideas at different times about how this highway will be made: First idea was to make this highway entirely as an underground highway. This was looking very secure but highly expensive idea. Second idea was to make this highway as a bridge throughout it's length and cover it in an iron cage on it's left, right and top throughout it's length. This was also secure and expensive idea. Third idea was to make this highway by utilizing already existing highways and roads. This was less secure and more cheap idea. Fourth idea was to make this highway based on conveyor belt. This was also expensive and complicated idea with interesting possibilities. Fifth, and last so far, idea was to make this highway of totally new roads with basic amenity centers beside it through out it's length. Irrespective of it's cost, so far this looks good/best to me. All vehicles using PIH will need to have GPS system installed and enabled and running on them so that their current location can be known to PIH authority through out journey. PIH users will need to pay some fees as per their use of PIH. Plus basic amenities beside PIH will not be for free either. PIH users will also need international standard driving license and travel insurance for using PIH. . If there are any mistakes then I will surely remove them whenever found. .

.

Happy 6000 PageViews - (2018 Feb 02 Fri)

C O N G R A T U L A T I O N S Today On 2018 Feb 02 Fri my this Blog reached 6000 page views mark. A lot of THANKS to Visitors, Viewers, Readers and Wanderers. Please keep visiting this blog and Tell others about it. Congratulations to me also.

Rubik cube game - 3 - C Sharp - 180231We

Rubik's cube game in C#

.

(Computer game for solving Rubik's cube puzzle)

(Written by me in c# 2010)

Version: 180231We

.

On last year's (2017) birthday of my niece,  one of my nephew,  gave her 2 gifts. One was a good looking Barbie doll and another was colorful Rubik's cube. While my niece preferred Barbie doll more, I started to analyze Rubik's cube to get some idea how to play with it, to make me able to teach my niece how to play with it. After making some un-successful tries I started searching Internet for tutorials about playing Rubik's cube.

And during searching and researching about Rubik's cube I got an usual idea. Idea was to make softwares for (1) playing Rubik's cube game (2) finding shortest solution for any given pattern of Rubik's cube. So I started making plans for these softwares and then started coding and in some days made them.

During coding of rotations of Rubik's cube I was getting disoriented again and again. So to solve that problem I made a small cube of hard paper. Made 3x3 boxes on it's each side with pencil and numbered them like 2d matrix. Then during coding I used it for reference. Before using this technique I was having difficult time in finding the bug in cube side/face rotation methods.

.

Salient features of Rubik's cube game:

All 6 sides of Rubik's cube are displayed side by side with their side name above them. Side rotating buttons are also above each side on left and right of side name. Game can be played in two modes: manual or auto. In manual human plays and in auto computer plays random moves.

.

Screen shots of game and their description:

Following are screen shots of Rubik's cube solving game at different stages with their description.

.

Game on Load:

Game looks like in the following image when it loads. Menus are on top line and status is at bottom line. Area in between them is divided in 3 columns.  In left column under 'Cube sides' heading are 6 colorful squares of 3x3 sub-squares. They are sides/faces of cube with their respective color. Each side's name is displayed above them. On left and right of each side name are buttons for rotating respective side. Left button for rotating  side clockwise and Right button for rotating side counter-clockwise. In center column Moves log and game controlling controls are displayed. In right column rotation buttons are explained.

.

.

.

Help menu expanded:

Game looks like in the following image when help menu is clicked. Showing it's 5 options: About, Purpose, User interface, How to use and Copyright. Each option of help menu is shown and explained in following.

.

.

.

Help/About:

Game looks like in the following image when 'About' in 'Help' menu is clicked. This menu-item displays basic information about game and it's author.

.

.

.

Help/Purpose:

Game looks like in the following image when 'Purpose' in 'Help' menu is clicked. This menu-item display text explaining purpose of the game.

.

.

.

Help/User interface:

Game looks like in the following image when 'User interface' in 'Help' menu is clicked. This menu option explains game's user interface as visible in following image.

.

.

.

Help/How to use:

Game looks like in the following image when 'How to use' in 'Help' menu is clicked. This menu option explains how to use this game application as visible in following image.

.

.

.

Help/Copyright:

Game looks like in the following image when 'Copyright' in 'Help' menu is clicked. This menu-item displays copyright text for this game application.

.

.

.

'New Game' button clicked

Game looks like in the following image when 'New Game' button in center column under 'Game' section is clicked. This button begins game starting process.

.

.

.

Play mode

Under 'New game' button are two radiobuttons called 'Manual' and 'Auto'. They are enabled only during after 'New game' button is clicked and before 'Start' button is clicked. They allow either human or computer to play the game. Select 'Manual' for human to play or select  'Auto' for computer to play. Computer only makes random moves so chances of computer solving the game is between in minimum moves possible to never.

.

.

'Shuffle colors' buttons

'Shuffle colors' button is also enabled only during after 'New game' button is clicked and before 'Start' button is clicked. Use this button for shuffling Rubik's cube.

.

.

'Start' button clicked (Manual mode):

Game looks like in the following image when 'Start' button in center column under 'Game' section is clicked in manual mode. Only Rubik's cube patterns may be different. I used Rubik's cube patterns in following image in an online Rubik's cube solver to test my game and my game worked correctly.

..

.

.

Some moves are made (Manual mode):

Game looks like in the following image when game is started in manual mode and some moves made.  This image is not sequence of above image. Only Rubik's cube patterns may be different.

.

.

.

'New Game' clicked during running game 'Manual':

Game looks like in the following image when 'New Game' button in center column under 'Game' section is clicked in 'Manual' mode while a game is already running. This option is useful for aborting an running game. This option gives options for actually aborting game or continue with the running game.

.

.

.

'Start' button clicked (Auto mode):

Game looks like in the following image when 'Start' button in center column under 'Game' section is clicked in 'Auto' mode and some moves are made.

.

.

.

'New Game' clicked during running game 'Auto':

Game looks like in the following image when 'New Game' button in center column under 'Game' section is clicked in 'Auto' mode while a game is already running. This option is useful for aborting an running game. This option gives options for actually aborting game or continue with the running game.

.

.

Game completed 'Manual':

Game looks like in the following image when it is completed/solved while game is in 'Manual' mode. Meaning all side/face square's are arranged in the same color as in the respective center square. When this happens game displays an alert message and a message in status bar to congratulate the player. This result was achieved by using generated moves from an online Rubik's cube solver site where I used starting patterns as mentioned above in "'Start' button clicked (Manual mode)"section. And felt happy on finding that my game was working correctly.

.

..

.

After a completed game:

Game looks like in the following image when it is completed/solved and 'Congratulating' alert message is also closed. Now game is ready for player to start New game.

.

.

.

I decided to display all 6 sides/faces of Rubik's cube side by side instead of displaying it as a rotate-able cube because 'side by side' way looks better and easy to understand to me.

.

Enjoy Complete Source code of application written and compiled in visual studio 2010 Ultimate by me. Download it. Extract it. Read 'ReadMeFirst.txt' file and do as is explained in it.

laptop of my dreams (2018) - 180101Mo

Laptop of My dreams - 2018   . (A laptop I am making in my mind since some years) Version: 180101Mo . Since some years, may be around at least a decade, I am thinking about, making in my mind, a computer which will be able to fit my requirements. And while doing so I am also making a laptop in my mind side by side. For example how it will look, what parts it will have. What it will be able to do. etc. Although I was thinking and thinking again and again but things were not fitting together as I wanted them to fit. But suddenly a very important part of idea came from word 'Notebook'. Idea was that as there can be many pages in notebook why not have same type of arrangement in laptop. Laptops now a days already have 2 pages. One is it's display and other is it's remaining part. This idea simplified every thing for my dream laptop design. Specifications of my dream laptop, in simple words, are as follows: (1)_Overall look: It will have a big screen may be something around 20" so laptop will be large and thick and heavy. (2)_Multi-paged: It's chassis/body will have more then 2 pages. Each containing a specific part. It's pages are described bellow. (2a)_Display page: This will be top page and will contain laptop's display. Laptop will support either one or three displays. In case of three displays one called main display will be attached to laptop's chassis and remaining two called left display and right display will be attached to respective sides of main display. Both left and right displays will open and close like door and will have 2 way displays. So opening all displays for doing simple task will not be necessary. (2b)_Keyboard page: This will be second from top page and will contain desktop like full size Keyboard, track pad etc only. Most chances are that this page will be totally like touch screen. So it will be possible to arrange it's contents in a lot of ways. (2c)_Motherboard page: As is obvious from name this page will contain laptop's mother board and also main HDD etc. (2d)_RAM page: This page will contain board with lot of slots for RAMs. Thus this facility will allow laptop to have huge quantity of RAM. (2e)_Processor page: This page will contain board with a lot of slots for Processors. Suppose there will be N number of slots in this board. Idea is that Processors will be able to work as an individual or as a group of 2 or more processors. Meaning either N processors will work separately OR all as a one processor OR in any combination posibble between these 2 situations. Thus giving very great and versatile computing abilities to laptop. (2f)_HDD page: This page will contain facility to attach a lot of HDD/SDD etc in it. So giving laptop ability to have huge quantity of external storage. (2g)_Battery+Adapter page: This will be bottom page and will contain facility for attaching more then one powerful batteries. Plus this page will also contain built in adapter because carrying external adapter with laptop do not look good to me. Idea is that batteries will be so powerful that they will last for a weak while laptop continuously doing all power consuming task in parallel through out this time. (*) It will be possible to have more then one page for any category  of page except display-page. Meaning this way it will be possible to have more then one motherboard OR more processing power OR more RAM OR more external storage OR more battery power etc in my dream Laptop. . If there are any mistakes then I will surely remove them whenever found. .

Prime numbers generator - 6 - 171005Th

Prime numbers generator - 6 [1/2]

.

(Finds all prime numbers between 2 and 32000000002 - c#)

Version: 171005Th

.

Once upon a time a few decades ago I was frequent visitor of "Liaquat National Memorial Library - Karachi" for reading books. I do not actually remember now how and when I went there for the first time. But I do remember that I continued going there for a few years. Although books on computer programming were my main interest but I enjoyed reading books on different subjects and reading different news papers as well. Books on "Lisp" and "Prolog" I studied there for the first time, but my main interest was books on "C" programming language and there were a lot of good quality books available there on C.

.

Environment of "Liaquat National Memorial Library" was very good: calm and peaceful. After a few visits I learned that if I do not come early then surely I will not get chair in the huge reading hall of the library. It was great to know that "Liaquat National Memorial Library" was in so huge demand. Therefore, after knowing that, whenever I went there, I went early.

.

Because "Liaquat National Memorial Library" is located beside PTV Karachi therefore during coming and going I also had some glimpses of TV stars of that time e.g. "Subhani ba Yunus" etc. As far as I do remember I also saw famous movie star of Pakistan "Mohammad Ali" one afternoon standing with someone near entrance steps of library building. I think he was minister at that time. Then time was around afternoon and I was mentally very busy and/or occupied in getting photostat of some chapters of computer book on Unix. Otherwise at least I would have requested for his autograph. He was tall with pinkish white in color and had a pleasant smile on his face. I think I missed the opportunity.

.

Let’s come back to the topic. On one visit to "Liaquat National Memorial Library" I requested for the current book of "Guinness book of world records". And in that book, for the first time I came to know about competition for finding prime number with larger number of digits than number of digits in any already known prime number. I knew how to find weather a number is Prime or not so automatically an idea visited my mind to find some prime numbers on computer myself.

.

Since then I am trying different softwares available to me on different times for making applications for finding as many prime numbers as possible. The list of softwares I used so far is as follows:

.

Turbo C version 2 ON Pentium 2 and Pentium 3 Html and JScript ON Pentium 4 GCC ON Pentium 3 and i5 C# 6 ON Pentium 3 C# 2008 ON Pentium 4 C# 2010 ON i5

.

On different times in different softwares I tried different methods for finding prime numbers like “long hand division method” and different variations of “Sieve method”. Also I kept researching on the internet and there I found pages on some sites displaying first few prime numbers for example first million prime numbers etc. I said Ok . . . I am also finding prime numbers, a lot of prime numbers and saving them on my pc's HDD. Why not I put prime numbers found by me, although I am not first to find them, on internet some where some day.

.

Therefore I re-ran current version of the application I made for finding primes to find prime numbers under different upper limits and found that for upper limit of 20000000, number/count of prime numbers is nearly above ONE Million. Some out puts of those Prime number searches I am sharing bellow. So far the maximum I reached for continuous list of prime numbers is:

.

Range......................: [2 and 32000000002] inclusive Prime numbers found.: [1382799415] Largest prime number: [31999999987]

.

Following is the list of first "6542" prime numbers, under 2^16, I found using software made by me using C# 2010.  I used this upper limit because it reminds me of "unsigned int" of 16 bit computers.

.

.

List of prime numbers under 2^16

File #: 1/1 - Application: Primes32FG Version....: 6 Made in....: C# - Author.....: Khursheed Fateh Email......: fateh.khursheed@gmail.com Site.......: https://sites.google.com/view/fateh-khursheed-profiles/home - List of Prime numbers from: 00000 to 65535 inclusive Prime numbers count.......: 06542 Largest prime number......: 65521 Date/Time:- Start.......: 2017 Oct 04 Wed 01:30:44.517623 PM +05:00 End.........: 2017 Oct 04 Wed 01:30:44.537624 PM +05:00 Elapsed time: 00:00:00.0200012 - ----------------------------------------------------------- 00002 00003 00005 00007 00011 00013 00017 00019 00023 00029 00031 00037 00041 00043 00047 00053 00059 00061 00067 00071 00073 00079 00083 00089 00097 00101 00103 00107 00109 00113 00127 00131 00137 00139 00149 00151 00157 00163 00167 00173 00179 00181 00191 00193 00197 00199 00211 00223 00227 00229 00233 00239 00241 00251 00257 00263 00269 00271 00277 00281 00283 00293 00307 00311 00313 00317 00331 00337 00347 00349 00353 00359 00367 00373 00379 00383 00389 00397 00401 00409 00419 00421 00431 00433 00439 00443 00449 00457 00461 00463 00467 00479 00487 00491 00499 00503 00509 00521 00523 00541 00547 00557 00563 00569 00571 00577 00587 00593 00599 00601 00607 00613 00617 00619 00631 00641 00643 00647 00653 00659 00661 00673 00677 00683 00691 00701 00709 00719 00727 00733 00739 00743 00751 00757 00761 00769 00773 00787 00797 00809 00811 00821 00823 00827 00829 00839 00853 00857 00859 00863 00877 00881 00883 00887 00907 00911 00919 00929 00937 00941 00947 00953 00967 00971 00977 00983 00991 00997 01009 01013 01019 01021 01031 01033 01039 01049 01051 01061 01063 01069 01087 01091 01093 01097 01103 01109 01117 01123 01129 01151 01153 01163 01171 01181 01187 01193 01201 01213 01217 01223 01229 01231 01237 01249 01259 01277 01279 01283 01289 01291 01297 01301 01303 01307 01319 01321 01327 01361 01367 01373 01381 01399 01409 01423 01427 01429 01433 01439 01447 01451 01453 01459 01471 01481 01483 01487 01489 01493 01499 01511 01523 01531 01543 01549 01553 01559 01567 01571 01579 01583 01597 01601 01607 01609 01613 01619 01621 01627 01637 01657 01663 01667 01669 01693 01697 01699 01709 01721 01723 01733 01741 01747 01753 01759 01777 01783 01787 01789 01801 01811 01823 01831 01847 01861 01867 01871 01873 01877 01879 01889 01901 01907 01913 01931 01933 01949 01951 01973 01979 01987 01993 01997 01999 02003 02011 02017 02027 02029 02039 02053 02063 02069 02081 02083 02087 02089 02099 02111 02113 02129 02131 02137 02141 02143 02153 02161 02179 02203 02207 02213 02221 02237 02239 02243 02251 02267 02269 02273 02281 02287 02293 02297 02309 02311 02333 02339 02341 02347 02351 02357 02371 02377 02381 02383 02389 02393 02399 02411 02417 02423 02437 02441 02447 02459 02467 02473 02477 02503 02521 02531 02539 02543 02549 02551 02557 02579 02591 02593 02609 02617 02621 02633 02647 02657 02659 02663 02671 02677 02683 02687 02689 02693 02699 02707 02711 02713 02719 02729 02731 02741 02749 02753 02767 02777 02789 02791 02797 02801 02803 02819 02833 02837 02843 02851 02857 02861 02879 02887 02897 02903 02909 02917 02927 02939 02953 02957 02963 02969 02971 02999 03001 03011 03019 03023 03037 03041 03049 03061 03067 03079 03083 03089 03109 03119 03121 03137 03163 03167 03169 03181 03187 03191 03203 03209 03217 03221 03229 03251 03253 03257 03259 03271 03299 03301 03307 03313 03319 03323 03329 03331 03343 03347 03359 03361 03371 03373 03389 03391 03407 03413 03433 03449 03457 03461 03463 03467 03469 03491 03499 03511 03517 03527 03529 03533 03539 03541 03547 03557 03559 03571 03581 03583 03593 03607 03613 03617 03623 03631 03637 03643 03659 03671 03673 03677 03691 03697 03701 03709 03719 03727 03733 03739 03761 03767 03769 03779 03793 03797 03803 03821 03823 03833 03847 03851 03853 03863 03877 03881 03889 03907 03911 03917 03919 03923 03929 03931 03943 03947 03967 03989 04001 04003 04007 04013 04019 04021 04027 04049 04051 04057 04073 04079 04091 04093 04099 04111 04127 04129 04133 04139 04153 04157 04159 04177 04201 04211 04217 04219 04229 04231 04241 04243 04253 04259 04261 04271 04273 04283 04289 04297 04327 04337 04339 04349 04357 04363 04373 04391 04397 04409 04421 04423 04441 04447 04451 04457 04463 04481 04483 04493 04507 04513 04517 04519 04523 04547 04549 04561 04567 04583 04591 04597 04603 04621 04637 04639 04643 04649 04651 04657 04663 04673 04679 04691 04703 04721 04723 04729 04733 04751 04759 04783 04787 04789 04793 04799 04801 04813 04817 04831 04861 04871 04877 04889 04903 04909 04919 04931 04933 04937 04943 04951 04957 04967 04969 04973 04987 04993 04999 05003 05009 05011 05021 05023 05039 05051 05059 05077 05081 05087 05099 05101 05107 05113 05119 05147 05153 05167 05171 05179 05189 05197 05209 05227 05231 05233 05237 05261 05273 05279 05281 05297 05303 05309 05323 05333 05347 05351 05381 05387 05393 05399 05407 05413 05417 05419 05431 05437 05441 05443 05449 05471 05477 05479 05483 05501 05503 05507 05519 05521 05527 05531 05557 05563 05569 05573 05581 05591 05623 05639 05641 05647 05651 05653 05657 05659 05669 05683 05689 05693 05701 05711 05717 05737 05741 05743 05749 05779 05783 05791 05801 05807 05813 05821 05827 05839 05843 05849 05851 05857 05861 05867 05869 05879 05881 05897 05903 05923 05927 05939 05953 05981 05987 06007 06011 06029 06037 06043 06047 06053 06067 06073 06079 06089 06091 06101 06113 06121 06131 06133 06143 06151 06163 06173 06197 06199 06203 06211 06217 06221 06229 06247 06257 06263 06269 06271 06277 06287 06299 06301 06311 06317 06323 06329 06337 06343 06353 06359 06361 06367 06373 06379 06389 06397 06421 06427 06449 06451 06469 06473 06481 06491 06521 06529 06547 06551 06553 06563 06569 06571 06577 06581 06599 06607 06619 06637 06653 06659 06661 06673 06679 06689 06691 06701 06703 06709 06719 06733 06737 06761 06763 06779 06781 06791 06793 06803 06823 06827 06829 06833 06841 06857 06863 06869 06871 06883 06899 06907 06911 06917 06947 06949 06959 06961 06967 06971 06977 06983 06991 06997 07001 07013 07019 07027 07039 07043 07057 07069 07079 07103 07109 07121 07127 07129 07151 07159 07177 07187 07193 07207 07211 07213 07219 07229 07237 07243 07247 07253 07283 07297 07307 07309 07321 07331 07333 07349 07351 07369 07393 07411 07417 07433 07451 07457 07459 07477 07481 07487 07489 07499 07507 07517 07523 07529 07537 07541 07547 07549 07559 07561 07573 07577 07583 07589 07591 07603 07607 07621 07639 07643 07649 07669 07673 07681 07687 07691 07699 07703 07717 07723 07727 07741 07753 07757 07759 07789 07793 07817 07823 07829 07841 07853 07867 07873 07877 07879 07883 07901 07907 07919 07927 07933 07937 07949 07951 07963 07993 08009 08011 08017 08039 08053 08059 08069 08081 08087 08089 08093 08101 08111 08117 08123 08147 08161 08167 08171 08179 08191 08209 08219 08221 08231 08233 08237 08243 08263 08269 08273 08287 08291 08293 08297 08311 08317 08329 08353 08363 08369 08377 08387 08389 08419 08423 08429 08431 08443 08447 08461 08467 08501 08513 08521 08527 08537 08539 08543 08563 08573 08581 08597 08599 08609 08623 08627 08629 08641 08647 08663 08669 08677 08681 08689 08693 08699 08707 08713 08719 08731 08737 08741 08747 08753 08761 08779 08783 08803 08807 08819 08821 08831 08837 08839 08849 08861 08863 08867 08887 08893 08923 08929 08933 08941 08951 08963 08969 08971 08999 09001 09007 09011 09013 09029 09041 09043 09049 09059 09067 09091 09103 09109 09127 09133 09137 09151 09157 09161 09173 09181 09187 09199 09203 09209 09221 09227 09239 09241 09257 09277 09281 09283 09293 09311 09319 09323 09337 09341 09343 09349 09371 09377 09391 09397 09403 09413 09419 09421 09431 09433 09437 09439 09461 09463 09467 09473 09479 09491 09497 09511 09521 09533 09539 09547 09551 09587 09601 09613 09619 09623 09629 09631 09643 09649 09661 09677 09679 09689 09697 09719 09721 09733 09739 09743 09749 09767 09769 09781 09787 09791 09803 09811 09817 09829 09833 09839 09851 09857 09859 09871 09883 09887 09901 09907 09923 09929 09931 09941 09949 09967 09973 10007 10009 10037 10039 10061 10067 10069 10079 10091 10093 10099 10103 10111 10133 10139 10141 10151 10159 10163 10169 10177 10181 10193 10211 10223 10243 10247 10253 10259 10267 10271 10273 10289 10301 10303 10313 10321 10331 10333 10337 10343 10357 10369 10391 10399 10427 10429 10433 10453 10457 10459 10463 10477 10487 10499 10501 10513 10529 10531 10559 10567 10589 10597 10601 10607 10613 10627 10631 10639 10651 10657 10663 10667 10687 10691 10709 10711 10723 10729 10733 10739 10753 10771 10781 10789 10799 10831 10837 10847 10853 10859 10861 10867 10883 10889 10891 10903 10909 10937 10939 10949 10957 10973 10979 10987 10993 11003 11027 11047 11057 11059 11069 11071 11083 11087 11093 11113 11117 11119 11131 11149 11159 11161 11171 11173 11177 11197 11213 11239 11243 11251 11257 11261 11273 11279 11287 11299 11311 11317 11321 11329 11351 11353 11369 11383 11393 11399 11411 11423 11437 11443 11447 11467 11471 11483 11489 11491 11497 11503 11519 11527 11549 11551 11579 11587 11593 11597 11617 11621 11633 11657 11677 11681 11689 11699 11701 11717 11719 11731 11743 11777 11779 11783 11789 11801 11807 11813 11821 11827 11831 11833 11839 11863 11867 11887 11897 11903 11909 11923 11927 11933 11939 11941 11953 11959 11969 11971 11981 11987 12007 12011 12037 12041 12043 12049 12071 12073 12097 12101 12107 12109 12113 12119 12143 12149 12157 12161 12163 12197 12203 12211 12227 12239 12241 12251 12253 12263 12269 12277 12281 12289 12301 12323 12329 12343 12347 12373 12377 12379 12391 12401 12409 12413 12421 12433 12437 12451 12457 12473 12479 12487 12491 12497 12503 12511 12517 12527 12539 12541 12547 12553 12569 12577 12583 12589 12601 12611 12613 12619 12637 12641 12647 12653 12659 12671 12689 12697 12703 12713 12721 12739 12743 12757 12763 12781 12791 12799 12809 12821 12823 12829 12841 12853 12889 12893 12899 12907 12911 12917 12919 12923 12941 12953 12959 12967 12973 12979 12983 13001 13003 13007 13009 13033 13037 13043 13049 13063 13093 13099 13103 13109 13121 13127 13147 13151 13159 13163 13171 13177 13183 13187 13217 13219 13229 13241 13249 13259 13267 13291 13297 13309 13313 13327 13331 13337 13339 13367 13381 13397 13399 13411 13417 13421 13441 13451 13457 13463 13469 13477 13487 13499 13513 13523 13537 13553 13567 13577 13591 13597 13613 13619 13627 13633 13649 13669 13679 13681 13687 13691 13693 13697 13709 13711 13721 13723 13729 13751 13757 13759 13763 13781 13789 13799 13807 13829 13831 13841 13859 13873 13877 13879 13883 13901 13903 13907 13913 13921 13931 13933 13963 13967 13997 13999 14009 14011 14029 14033 14051 14057 14071 14081 14083 14087 14107 14143 14149 14153 14159 14173 14177 14197 14207 14221 14243 14249 14251 14281 14293 14303 14321 14323 14327 14341 14347 14369 14387 14389 14401 14407 14411 14419 14423 14431 14437 14447 14449 14461 14479 14489 14503 14519 14533 14537 14543 14549 14551 14557 14561 14563 14591 14593 14621 14627 14629 14633 14639 14653 14657 14669 14683 14699 14713 14717 14723 14731 14737 14741 14747 14753 14759 14767 14771 14779 14783 14797 14813 14821 14827 14831 14843 14851 14867 14869 14879 14887 14891 14897 14923 14929 14939 14947 14951 14957 14969 14983 15013 15017 15031 15053 15061 15073 15077 15083 15091 15101 15107 15121 15131 15137 15139 15149 15161 15173 15187 15193 15199 15217 15227 15233 15241 15259 15263 15269 15271 15277 15287 15289 15299 15307 15313 15319 15329 15331 15349 15359 15361 15373 15377 15383 15391 15401 15413 15427 15439 15443 15451 15461 15467 15473 15493 15497 15511 15527 15541 15551 15559 15569 15581 15583 15601 15607 15619 15629 15641 15643 15647 15649 15661 15667 15671 15679 15683 15727 15731 15733 15737 15739 15749 15761 15767 15773 15787 15791 15797 15803 15809 15817 15823 15859 15877 15881 15887 15889 15901 15907 15913 15919 15923 15937 15959 15971 15973 15991 16001 16007 16033 16057 16061 16063 16067 16069 16073 16087 16091 16097 16103 16111 16127 16139 16141 16183 16187 16189 16193 16217 16223 16229 16231 16249 16253 16267 16273 16301 16319 16333 16339 16349 16361 16363 16369 16381 16411 16417 16421 16427 16433 16447 16451 16453 16477 16481 16487 16493 16519 16529 16547 16553 16561 16567 16573 16603 16607 16619 16631 16633 16649 16651 16657 16661 16673 16691 16693 16699 16703 16729 16741 16747 16759 16763 16787 16811 16823 16829 16831 16843 16871 16879 16883 16889 16901 16903 16921 16927 16931 16937 16943 16963 16979 16981 16987 16993 17011 17021 17027 17029 17033 17041 17047 17053 17077 17093 17099 17107 17117 17123 17137 17159 17167 17183 17189 17191 17203 17207 17209 17231 17239 17257 17291 17293 17299 17317 17321 17327 17333 17341 17351 17359 17377 17383 17387 17389 17393 17401 17417 17419 17431 17443 17449 17467 17471 17477 17483 17489 17491 17497 17509 17519 17539 17551 17569 17573 17579 17581 17597 17599 17609 17623 17627 17657 17659 17669 17681 17683 17707 17713 17729 17737 17747 17749 17761 17783 17789 17791 17807 17827 17837 17839 17851 17863 17881 17891 17903 17909 17911 17921 17923 17929 17939 17957 17959 17971 17977 17981 17987 17989 18013 18041 18043 18047 18049 18059 18061 18077 18089 18097 18119 18121 18127 18131 18133 18143 18149 18169 18181 18191 18199 18211 18217 18223 18229 18233 18251 18253 18257 18269 18287 18289 18301 18307 18311 18313 18329 18341 18353 18367 18371 18379 18397 18401 18413 18427 18433 18439 18443 18451 18457 18461 18481 18493 18503 18517 18521 18523 18539 18541 18553 18583 18587 18593 18617 18637 18661 18671 18679 18691 18701 18713 18719 18731 18743 18749 18757 18773 18787 18793 18797 18803 18839 18859 18869 18899 18911 18913 18917 18919 18947 18959 18973 18979 19001 19009 19013 19031 19037 19051 19069 19073 19079 19081 19087 19121 19139 19141 19157 19163 19181 19183 19207 19211 19213 19219 19231 19237 19249 19259 19267 19273 19289 19301 19309 19319 19333 19373 19379 19381 19387 19391 19403 19417 19421 19423 19427 19429 19433 19441 19447 19457 19463 19469 19471 19477 19483 19489 19501 19507 19531 19541 19543 19553 19559 19571 19577 19583 19597 19603 19609 19661 19681 19687 19697 19699 19709 19717 19727 19739 19751 19753 19759 19763 19777 19793 19801 19813 19819 19841 19843 19853 19861 19867 19889 19891 19913 19919 19927 19937 19949 19961 19963 19973 19979 19991 19993 19997 20011 20021 20023 20029 20047 20051 20063 20071 20089 20101 20107 20113 20117 20123 20129 20143 20147 20149 20161 20173 20177 20183 20201 20219 20231 20233 20249 20261 20269 20287 20297 20323 20327 20333 20341 20347 20353 20357 20359 20369 20389 20393 20399 20407 20411 20431 20441 20443 20477 20479 20483 20507 20509 20521 20533 20543 20549 20551 20563 20593 20599 20611 20627 20639 20641 20663 20681 20693 20707 20717 20719 20731 20743 20747 20749 20753 20759 20771 20773 20789 20807 20809 20849 20857 20873 20879 20887 20897 20899 20903 20921 20929 20939 20947 20959 20963 20981 20983 21001 21011 21013 21017 21019 21023 21031 21059 21061 21067 21089 21101 21107 21121 21139 21143 21149 21157 21163 21169 21179 21187 21191 21193 21211 21221 21227 21247 21269 21277 21283 21313 21317 21319 21323 21341 21347 21377 21379 21383 21391 21397 21401 21407 21419 21433 21467 21481 21487 21491 21493 21499 21503 21517 21521 21523 21529 21557 21559 21563 21569 21577 21587 21589 21599 21601 21611 21613 21617 21647 21649 21661 21673 21683 21701 21713 21727 21737 21739 21751 21757 21767 21773 21787 21799 21803 21817 21821 21839 21841 21851 21859 21863 21871 21881 21893 21911 21929 21937 21943 21961 21977 21991 21997 22003 22013 22027 22031 22037 22039 22051 22063 22067 22073 22079 22091 22093 22109 22111 22123 22129 22133 22147 22153 22157 22159 22171 22189 22193 22229 22247 22259 22271 22273 22277 22279 22283 22291 22303 22307 22343 22349 22367 22369 22381 22391 22397 22409 22433 22441 22447 22453 22469 22481 22483 22501 22511 22531 22541 22543 22549 22567 22571 22573 22613 22619 22621 22637 22639 22643 22651 22669 22679 22691 22697 22699 22709 22717 22721 22727 22739 22741 22751 22769 22777 22783 22787 22807 22811 22817 22853 22859 22861 22871 22877 22901 22907 22921 22937 22943 22961 22963 22973 22993 23003 23011 23017 23021 23027 23029 23039 23041 23053 23057 23059 23063 23071 23081 23087 23099 23117 23131 23143 23159 23167 23173 23189 23197 23201 23203 23209 23227 23251 23269 23279 23291 23293 23297 23311 23321 23327 23333 23339 23357 23369 23371 23399 23417 23431 23447 23459 23473 23497 23509 23531 23537 23539 23549 23557 23561 23563 23567 23581 23593 23599 23603 23609 23623 23627 23629 23633 23663 23669 23671 23677 23687 23689 23719 23741 23743 23747 23753 23761 23767 23773 23789 23801 23813 23819 23827 23831 23833 23857 23869 23873 23879 23887 23893 23899 23909 23911 23917 23929 23957 23971 23977 23981 23993 24001 24007 24019 24023 24029 24043 24049 24061 24071 24077 24083 24091 24097 24103 24107 24109 24113 24121 24133 24137 24151 24169 24179 24181 24197 24203 24223 24229 24239 24247 24251 24281 24317 24329 24337 24359 24371 24373 24379 24391 24407 24413 24419 24421 24439 24443 24469 24473 24481 24499 24509 24517 24527 24533 24547 24551 24571 24593 24611 24623 24631 24659 24671 24677 24683 24691 24697 24709 24733 24749 24763 24767 24781 24793 24799 24809 24821 24841 24847 24851 24859 24877 24889 24907 24917 24919 24923 24943 24953 24967 24971 24977 24979 24989 25013 25031 25033 25037 25057 25073 25087 25097 25111 25117 25121 25127 25147 25153 25163 25169 25171 25183 25189 25219 25229 25237 25243 25247 25253 25261 25301 25303 25307 25309 25321 25339 25343 25349 25357 25367 25373 25391 25409 25411 25423 25439 25447 25453 25457 25463 25469 25471 25523 25537 25541 25561 25577 25579 25583 25589 25601 25603 25609 25621 25633 25639 25643 25657 25667 25673 25679 25693 25703 25717 25733 25741 25747 25759 25763 25771 25793 25799 25801 25819 25841 25847 25849 25867 25873 25889 25903 25913 25919 25931 25933 25939 25943 25951 25969 25981 25997 25999 26003 26017 26021 26029 26041 26053 26083 26099 26107 26111 26113 26119 26141 26153 26161 26171 26177 26183 26189 26203 26209 26227 26237 26249 26251 26261 26263 26267 26293 26297 26309 26317 26321 26339 26347 26357 26371 26387 26393 26399 26407 26417 26423 26431 26437 26449 26459 26479 26489 26497 26501 26513 26539 26557 26561 26573 26591 26597 26627 26633 26641 26647 26669 26681 26683 26687 26693 26699 26701 26711 26713 26717 26723 26729 26731 26737 26759 26777 26783 26801 26813 26821 26833 26839 26849 26861 26863 26879 26881 26891 26893 26903 26921 26927 26947 26951 26953 26959 26981 26987 26993 27011 27017 27031 27043 27059 27061 27067 27073 27077 27091 27103 27107 27109 27127 27143 27179 27191 27197 27211 27239 27241 27253 27259 27271 27277 27281 27283 27299 27329 27337 27361 27367 27397 27407 27409 27427 27431 27437 27449 27457 27479 27481 27487 27509 27527 27529 27539 27541 27551 27581 27583 27611 27617 27631 27647 27653 27673 27689 27691 27697 27701 27733 27737 27739 27743 27749 27751 27763 27767 27773 27779 27791 27793 27799 27803 27809 27817 27823 27827 27847 27851 27883 27893 27901 27917 27919 27941 27943 27947 27953 27961 27967 27983 27997 28001 28019 28027 28031 28051 28057 28069 28081 28087 28097 28099 28109 28111 28123 28151 28163 28181 28183 28201 28211 28219 28229 28277 28279 28283 28289 28297 28307 28309 28319 28349 28351 28387 28393 28403 28409 28411 28429 28433 28439 28447 28463 28477 28493 28499 28513 28517 28537 28541 28547 28549 28559 28571 28573 28579 28591 28597 28603 28607 28619 28621 28627 28631 28643 28649 28657 28661 28663 28669 28687 28697 28703 28711 28723 28729 28751 28753 28759 28771 28789 28793 28807 28813 28817 28837 28843 28859 28867 28871 28879 28901 28909 28921 28927 28933 28949 28961 28979 29009 29017 29021 29023 29027 29033 29059 29063 29077 29101 29123 29129 29131 29137 29147 29153 29167 29173 29179 29191 29201 29207 29209 29221 29231 29243 29251 29269 29287 29297 29303 29311 29327 29333 29339 29347 29363 29383 29387 29389 29399 29401 29411 29423 29429 29437 29443 29453 29473 29483 29501 29527 29531 29537 29567 29569 29573 29581 29587 29599 29611 29629 29633 29641 29663 29669 29671 29683 29717 29723 29741 29753 29759 29761 29789 29803 29819 29833 29837 29851 29863 29867 29873 29879 29881 29917 29921 29927 29947 29959 29983 29989 30011 30013 30029 30047 30059 30071 30089 30091 30097 30103 30109 30113 30119 30133 30137 30139 30161 30169 30181 30187 30197 30203 30211 30223 30241 30253 30259 30269 30271 30293 30307 30313 30319 30323 30341 30347 30367 30389 30391 30403 30427 30431 30449 30467 30469 30491 30493 30497 30509 30517 30529 30539 30553 30557 30559 30577 30593 30631 30637 30643 30649 30661 30671 30677 30689 30697 30703 30707 30713 30727 30757 30763 30773 30781 30803 30809 30817 30829 30839 30841 30851 30853 30859 30869 30871 30881 30893 30911 30931 30937 30941 30949 30971 30977 30983 31013 31019 31033 31039 31051 31063 31069 31079 31081 31091 31121 31123 31139 31147 31151 31153 31159 31177 31181 31183 31189 31193 31219 31223 31231 31237 31247 31249 31253 31259 31267 31271 31277 31307 31319 31321 31327 31333 31337 31357 31379 31387 31391 31393 31397 31469 31477 31481 31489 31511 31513 31517 31531 31541 31543 31547 31567 31573 31583 31601 31607 31627 31643 31649 31657 31663 31667 31687 31699 31721 31723 31727 31729 31741 31751 31769 31771 31793 31799 31817 31847 31849 31859 31873 31883 31891 31907 31957 31963 31973 31981 31991 32003 32009 32027 32029 32051 32057 32059 32063 32069 32077 32083 32089 32099 32117 32119 32141 32143 32159 32173 32183 32189 32191 32203 32213 32233 32237 32251 32257 32261 32297 32299 32303 32309 32321 32323 32327 32341 32353 32359 32363 32369 32371 32377 32381 32401 32411 32413 32423 32429 32441 32443 32467 32479 32491 32497 32503 32507 32531 32533 32537 32561 32563 32569 32573 32579 32587 32603 32609 32611 32621 32633 32647 32653 32687 32693 32707 32713 32717 32719 32749 32771 32779 32783 32789 32797 32801 32803 32831 32833 32839 32843 32869 32887 32909 32911 32917 32933 32939 32941 32957 32969 32971 32983 32987 32993 32999 33013 33023 33029 33037 33049 33053 33071 33073 33083 33091 33107 33113 33119 33149 33151 33161 33179 33181 33191 33199 33203 33211 33223 33247 33287 33289 33301 33311 33317 33329 33331 33343 33347 33349 33353 33359 33377 33391 33403 33409 33413 33427 33457 33461 33469 33479 33487 33493 33503 33521 33529 33533 33547 33563 33569 33577 33581 33587 33589 33599 33601 33613 33617 33619 33623 33629 33637 33641 33647 33679 33703 33713 33721 33739 33749 33751 33757 33767 33769 33773 33791 33797 33809 33811 33827 33829 33851 33857 33863 33871 33889 33893 33911 33923 33931 33937 33941 33961 33967 33997 34019 34031 34033 34039 34057 34061 34123 34127 34129 34141 34147 34157 34159 34171 34183 34211 34213 34217 34231 34253 34259 34261 34267 34273 34283 34297 34301 34303 34313 34319 34327 34337 34351 34361 34367 34369 34381 34403 34421 34429 34439 34457 34469 34471 34483 34487 34499 34501 34511 34513 34519 34537 34543 34549 34583 34589 34591 34603 34607 34613 34631 34649 34651 34667 34673 34679 34687 34693 34703 34721 34729 34739 34747 34757 34759 34763 34781 34807 34819 34841 34843 34847 34849 34871 34877 34883 34897 34913 34919 34939 34949 34961 34963 34981 35023 35027 35051 35053 35059 35069 35081 35083 35089 35099 35107 35111 35117 35129 35141 35149 35153 35159 35171 35201 35221 35227 35251 35257 35267 35279 35281 35291 35311 35317 35323 35327 35339 35353 35363 35381 35393 35401 35407 35419 35423 35437 35447 35449 35461 35491 35507 35509 35521 35527 35531 35533 35537 35543 35569 35573 35591 35593 35597 35603 35617 35671 35677 35729 35731 35747 35753 35759 35771 35797 35801 35803 35809 35831 35837 35839 35851 35863 35869 35879 35897 35899 35911 35923 35933 35951 35963 35969 35977 35983 35993 35999 36007 36011 36013 36017 36037 36061 36067 36073 36083 36097 36107 36109 36131 36137 36151 36161 36187 36191 36209 36217 36229 36241 36251 36263 36269 36277 36293 36299 36307 36313 36319 36341 36343 36353 36373 36383 36389 36433 36451 36457 36467 36469 36473 36479 36493 36497 36523 36527 36529 36541 36551 36559 36563 36571 36583 36587 36599 36607 36629 36637 36643 36653 36671 36677 36683 36691 36697 36709 36713 36721 36739 36749 36761 36767 36779 36781 36787 36791 36793 36809 36821 36833 36847 36857 36871 36877 36887 36899 36901 36913 36919 36923 36929 36931 36943 36947 36973 36979 36997 37003 37013 37019 37021 37039 37049 37057 37061 37087 37097 37117 37123 37139 37159 37171 37181 37189 37199 37201 37217 37223 37243 37253 37273 37277 37307 37309 37313 37321 37337 37339 37357 37361 37363 37369 37379 37397 37409 37423 37441 37447 37463 37483 37489 37493 37501 37507 37511 37517 37529 37537 37547 37549 37561 37567 37571 37573 37579 37589 37591 37607 37619 37633 37643 37649 37657 37663 37691 37693 37699 37717 37747 37781 37783 37799 37811 37813 37831 37847 37853 37861 37871 37879 37889 37897 37907 37951 37957 37963 37967 37987 37991 37993 37997 38011 38039 38047 38053 38069 38083 38113 38119 38149 38153 38167 38177 38183 38189 38197 38201 38219 38231 38237 38239 38261 38273 38281 38287 38299 38303 38317 38321 38327 38329 38333 38351 38371 38377 38393 38431 38447 38449 38453 38459 38461 38501 38543 38557 38561 38567 38569 38593 38603 38609 38611 38629 38639 38651 38653 38669 38671 38677 38693 38699 38707 38711 38713 38723 38729 38737 38747 38749 38767 38783 38791 38803 38821 38833 38839 38851 38861 38867 38873 38891 38903 38917 38921 38923 38933 38953 38959 38971 38977 38993 39019 39023 39041 39043 39047 39079 39089 39097 39103 39107 39113 39119 39133 39139 39157 39161 39163 39181 39191 39199 39209 39217 39227 39229 39233 39239 39241 39251 39293 39301 39313 39317 39323 39341 39343 39359 39367 39371 39373 39383 39397 39409 39419 39439 39443 39451 39461 39499 39503 39509 39511 39521 39541 39551 39563 39569 39581 39607 39619 39623 39631 39659 39667 39671 39679 39703 39709 39719 39727 39733 39749 39761 39769 39779 39791 39799 39821 39827 39829 39839 39841 39847 39857 39863 39869 39877 39883 39887 39901 39929 39937 39953 39971 39979 39983 39989 40009 40013 40031 40037 40039 40063 40087 40093 40099 40111 40123 40127 40129 40151 40153 40163 40169 40177 40189 40193 40213 40231 40237 40241 40253 40277 40283 40289 40343 40351 40357 40361 40387 40423 40427 40429 40433 40459 40471 40483 40487 40493 40499 40507 40519 40529 40531 40543 40559 40577 40583 40591 40597 40609 40627 40637 40639 40693 40697 40699 40709 40739 40751 40759 40763 40771 40787 40801 40813 40819 40823 40829 40841 40847 40849 40853 40867 40879 40883 40897 40903 40927 40933 40939 40949 40961 40973 40993 41011 41017 41023 41039 41047 41051 41057 41077 41081 41113 41117 41131 41141 41143 41149 41161 41177 41179 41183 41189 41201 41203 41213 41221 41227 41231 41233 41243 41257 41263 41269 41281 41299 41333 41341 41351 41357 41381 41387 41389 41399 41411 41413 41443 41453 41467 41479 41491 41507 41513 41519 41521 41539 41543 41549 41579 41593 41597 41603 41609 41611 41617 41621 41627 41641 41647 41651 41659 41669 41681 41687 41719 41729 41737 41759 41761 41771 41777 41801 41809 41813 41843 41849 41851 41863 41879 41887 41893 41897 41903 41911 41927 41941 41947 41953 41957 41959 41969 41981 41983 41999 42013 42017 42019 42023 42043 42061 42071 42073 42083 42089 42101 42131 42139 42157 42169 42179 42181 42187 42193 42197 42209 42221 42223 42227 42239 42257 42281 42283 42293 42299 42307 42323 42331 42337 42349 42359 42373 42379 42391 42397 42403 42407 42409 42433 42437 42443 42451 42457 42461 42463 42467 42473 42487 42491 42499 42509 42533 42557 42569 42571 42577 42589 42611 42641 42643 42649 42667 42677 42683 42689 42697 42701 42703 42709 42719 42727 42737 42743 42751 42767 42773 42787 42793 42797 42821 42829 42839 42841 42853 42859 42863 42899 42901 42923 42929 42937 42943 42953 42961 42967 42979 42989 43003 43013 43019 43037 43049 43051 43063 43067 43093 43103 43117 43133 43151 43159 43177 43189 43201 43207 43223 43237 43261 43271 43283 43291 43313 43319 43321 43331 43391 43397 43399 43403 43411 43427 43441 43451 43457 43481 43487 43499 43517 43541 43543 43573 43577 43579 43591 43597 43607 43609 43613 43627 43633 43649 43651 43661 43669 43691 43711 43717 43721 43753 43759 43777 43781 43783 43787 43789 43793 43801 43853 43867 43889 43891 43913 43933 43943 43951 43961 43963 43969 43973 43987 43991 43997 44017 44021 44027 44029 44041 44053 44059 44071 44087 44089 44101 44111 44119 44123 44129 44131 44159 44171 44179 44189 44201 44203 44207 44221 44249 44257 44263 44267 44269 44273 44279 44281 44293 44351 44357 44371 44381 44383 44389 44417 44449 44453 44483 44491 44497 44501 44507 44519 44531 44533 44537 44543 44549 44563 44579 44587 44617 44621 44623 44633 44641 44647 44651 44657 44683 44687 44699 44701 44711 44729 44741 44753 44771 44773 44777 44789 44797 44809 44819 44839 44843 44851 44867 44879 44887 44893 44909 44917 44927 44939 44953 44959 44963 44971 44983 44987 45007 45013 45053 45061 45077 45083 45119 45121 45127 45131 45137 45139 45161 45179 45181 45191 45197 45233 45247 45259 45263 45281 45289 45293 45307 45317 45319 45329 45337 45341 45343 45361 45377 45389 45403 45413 45427 45433 45439 45481 45491 45497 45503 45523 45533 45541 45553 45557 45569 45587 45589 45599 45613 45631 45641 45659 45667 45673 45677 45691 45697 45707 45737 45751 45757 45763 45767 45779 45817 45821 45823 45827 45833 45841 45853 45863 45869 45887 45893 45943 45949 45953 45959 45971 45979 45989 46021 46027 46049 46051 46061 46073 46091 46093 46099 46103 46133 46141 46147 46153 46171 46181 46183 46187 46199 46219 46229 46237 46261 46271 46273 46279 46301 46307 46309 46327 46337 46349 46351 46381 46399 46411 46439 46441 46447 46451 46457 46471 46477 46489 46499 46507 46511 46523 46549 46559 46567 46573 46589 46591 46601 46619 46633 46639 46643 46649 46663 46679 46681 46687 46691 46703 46723 46727 46747 46751 46757 46769 46771 46807 46811 46817 46819 46829 46831 46853 46861 46867 46877 46889 46901 46919 46933 46957 46993 46997 47017 47041 47051 47057 47059 47087 47093 47111 47119 47123 47129 47137 47143 47147 47149 47161 47189 47207 47221 47237 47251 47269 47279 47287 47293 47297 47303 47309 47317 47339 47351 47353 47363 47381 47387 47389 47407 47417 47419 47431 47441 47459 47491 47497 47501 47507 47513 47521 47527 47533 47543 47563 47569 47581 47591 47599 47609 47623 47629 47639 47653 47657 47659 47681 47699 47701 47711 47713 47717 47737 47741 47743 47777 47779 47791 47797 47807 47809 47819 47837 47843 47857 47869 47881 47903 47911 47917 47933 47939 47947 47951 47963 47969 47977 47981 48017 48023 48029 48049 48073 48079 48091 48109 48119 48121 48131 48157 48163 48179 48187 48193 48197 48221 48239 48247 48259 48271 48281 48299 48311 48313 48337 48341 48353 48371 48383 48397 48407 48409 48413 48437 48449 48463 48473 48479 48481 48487 48491 48497 48523 48527 48533 48539 48541 48563 48571 48589 48593 48611 48619 48623 48647 48649 48661 48673 48677 48679 48731 48733 48751 48757 48761 48767 48779 48781 48787 48799 48809 48817 48821 48823 48847 48857 48859 48869 48871 48883 48889 48907 48947 48953 48973 48989 48991 49003 49009 49019 49031 49033 49037 49043 49057 49069 49081 49103 49109 49117 49121 49123 49139 49157 49169 49171 49177 49193 49199 49201 49207 49211 49223 49253 49261 49277 49279 49297 49307 49331 49333 49339 49363 49367 49369 49391 49393 49409 49411 49417 49429 49433 49451 49459 49463 49477 49481 49499 49523 49529 49531 49537 49547 49549 49559 49597 49603 49613 49627 49633 49639 49663 49667 49669 49681 49697 49711 49727 49739 49741 49747 49757 49783 49787 49789 49801 49807 49811 49823 49831 49843 49853 49871 49877 49891 49919 49921 49927 49937 49939 49943 49957 49991 49993 49999 50021 50023 50033 50047 50051 50053 50069 50077 50087 50093 50101 50111 50119 50123 50129 50131 50147 50153 50159 50177 50207 50221 50227 50231 50261 50263 50273 50287 50291 50311 50321 50329 50333 50341 50359 50363 50377 50383 50387 50411 50417 50423 50441 50459 50461 50497 50503 50513 50527 50539 50543 50549 50551 50581 50587 50591 50593 50599 50627 50647 50651 50671 50683 50707 50723 50741 50753 50767 50773 50777 50789 50821 50833 50839 50849 50857 50867 50873 50891 50893 50909 50923 50929 50951 50957 50969 50971 50989 50993 51001 51031 51043 51047 51059 51061 51071 51109 51131 51133 51137 51151 51157 51169 51193 51197 51199 51203 51217 51229 51239 51241 51257 51263 51283 51287 51307 51329 51341 51343 51347 51349 51361 51383 51407 51413 51419 51421 51427 51431 51437 51439 51449 51461 51473 51479 51481 51487 51503 51511 51517 51521 51539 51551 51563 51577 51581 51593 51599 51607 51613 51631 51637 51647 51659 51673 51679 51683 51691 51713 51719 51721 51749 51767 51769 51787 51797 51803 51817 51827 51829 51839 51853 51859 51869 51871 51893 51899 51907 51913 51929 51941 51949 51971 51973 51977 51991 52009 52021 52027 52051 52057 52067 52069 52081 52103 52121 52127 52147 52153 52163 52177 52181 52183 52189 52201 52223 52237 52249 52253 52259 52267 52289 52291 52301 52313 52321 52361 52363 52369 52379 52387 52391 52433 52453 52457 52489 52501 52511 52517 52529 52541 52543 52553 52561 52567 52571 52579 52583 52609 52627 52631 52639 52667 52673 52691 52697 52709 52711 52721 52727 52733 52747 52757 52769 52783 52807 52813 52817 52837 52859 52861 52879 52883 52889 52901 52903 52919 52937 52951 52957 52963 52967 52973 52981 52999 53003 53017 53047 53051 53069 53077 53087 53089 53093 53101 53113 53117 53129 53147 53149 53161 53171 53173 53189 53197 53201 53231 53233 53239 53267 53269 53279 53281 53299 53309 53323 53327 53353 53359 53377 53381 53401 53407 53411 53419 53437 53441 53453 53479 53503 53507 53527 53549 53551 53569 53591 53593 53597 53609 53611 53617 53623 53629 53633 53639 53653 53657 53681 53693 53699 53717 53719 53731 53759 53773 53777 53783 53791 53813 53819 53831 53849 53857 53861 53881 53887 53891 53897 53899 53917 53923 53927 53939 53951 53959 53987 53993 54001 54011 54013 54037 54049 54059 54083 54091 54101 54121 54133 54139 54151 54163 54167 54181 54193 54217 54251 54269 54277 54287 54293 54311 54319 54323 54331 54347 54361 54367 54371 54377 54401 54403 54409 54413 54419 54421 54437 54443 54449 54469 54493 54497 54499 54503 54517 54521 54539 54541 54547 54559 54563 54577 54581 54583 54601 54617 54623 54629 54631 54647 54667 54673 54679 54709 54713 54721 54727 54751 54767 54773 54779 54787 54799 54829 54833 54851 54869 54877 54881 54907 54917 54919 54941 54949 54959 54973 54979 54983 55001 55009 55021 55049 55051 55057 55061 55073 55079 55103 55109 55117 55127 55147 55163 55171 55201 55207 55213 55217 55219 55229 55243 55249 55259 55291 55313 55331 55333 55337 55339 55343 55351 55373 55381 55399 55411 55439 55441 55457 55469 55487 55501 55511 55529 55541 55547 55579 55589 55603 55609 55619 55621 55631 55633 55639 55661 55663 55667 55673 55681 55691 55697 55711 55717 55721 55733 55763 55787 55793 55799 55807 55813 55817 55819 55823 55829 55837 55843 55849 55871 55889 55897 55901 55903 55921 55927 55931 55933 55949 55967 55987 55997 56003 56009 56039 56041 56053 56081 56087 56093 56099 56101 56113 56123 56131 56149 56167 56171 56179 56197 56207 56209 56237 56239 56249 56263 56267 56269 56299 56311 56333 56359 56369 56377 56383 56393 56401 56417 56431 56437 56443 56453 56467 56473 56477 56479 56489 56501 56503 56509 56519 56527 56531 56533 56543 56569 56591 56597 56599 56611 56629 56633 56659 56663 56671 56681 56687 56701 56711 56713 56731 56737 56747 56767 56773 56779 56783 56807 56809 56813 56821 56827 56843 56857 56873 56891 56893 56897 56909 56911 56921 56923 56929 56941 56951 56957 56963 56983 56989 56993 56999 57037 57041 57047 57059 57073 57077 57089 57097 57107 57119 57131 57139 57143 57149 57163 57173 57179 57191 57193 57203 57221 57223 57241 57251 57259 57269 57271 57283 57287 57301 57329 57331 57347 57349 57367 57373 57383 57389 57397 57413 57427 57457 57467 57487 57493 57503 57527 57529 57557 57559 57571 57587 57593 57601 57637 57641 57649 57653 57667 57679 57689 57697 57709 57713 57719 57727 57731 57737 57751 57773 57781 57787 57791 57793 57803 57809 57829 57839 57847 57853 57859 57881 57899 57901 57917 57923 57943 57947 57973 57977 57991 58013 58027 58031 58043 58049 58057 58061 58067 58073 58099 58109 58111 58129 58147 58151 58153 58169 58171 58189 58193 58199 58207 58211 58217 58229 58231 58237 58243 58271 58309 58313 58321 58337 58363 58367 58369 58379 58391 58393 58403 58411 58417 58427 58439 58441 58451 58453 58477 58481 58511 58537 58543 58549 58567 58573 58579 58601 58603 58613 58631 58657 58661 58679 58687 58693 58699 58711 58727 58733 58741 58757 58763 58771 58787 58789 58831 58889 58897 58901 58907 58909 58913 58921 58937 58943 58963 58967 58979 58991 58997 59009 59011 59021 59023 59029 59051 59053 59063 59069 59077 59083 59093 59107 59113 59119 59123 59141 59149 59159 59167 59183 59197 59207 59209 59219 59221 59233 59239 59243 59263 59273 59281 59333 59341 59351 59357 59359 59369 59377 59387 59393 59399 59407 59417 59419 59441 59443 59447 59453 59467 59471 59473 59497 59509 59513 59539 59557 59561 59567 59581 59611 59617 59621 59627 59629 59651 59659 59663 59669 59671 59693 59699 59707 59723 59729 59743 59747 59753 59771 59779 59791 59797 59809 59833 59863 59879 59887 59921 59929 59951 59957 59971 59981 59999 60013 60017 60029 60037 60041 60077 60083 60089 60091 60101 60103 60107 60127 60133 60139 60149 60161 60167 60169 60209 60217 60223 60251 60257 60259 60271 60289 60293 60317 60331 60337 60343 60353 60373 60383 60397 60413 60427 60443 60449 60457 60493 60497 60509 60521 60527 60539 60589 60601 60607 60611 60617 60623 60631 60637 60647 60649 60659 60661 60679 60689 60703 60719 60727 60733 60737 60757 60761 60763 60773 60779 60793 60811 60821 60859 60869 60887 60889 60899 60901 60913 60917 60919 60923 60937 60943 60953 60961 61001 61007 61027 61031 61043 61051 61057 61091 61099 61121 61129 61141 61151 61153 61169 61211 61223 61231 61253 61261 61283 61291 61297 61331 61333 61339 61343 61357 61363 61379 61381 61403 61409 61417 61441 61463 61469 61471 61483 61487 61493 61507 61511 61519 61543 61547 61553 61559 61561 61583 61603 61609 61613 61627 61631 61637 61643 61651 61657 61667 61673 61681 61687 61703 61717 61723 61729 61751 61757 61781 61813 61819 61837 61843 61861 61871 61879 61909 61927 61933 61949 61961 61967 61979 61981 61987 61991 62003 62011 62017 62039 62047 62053 62057 62071 62081 62099 62119 62129 62131 62137 62141 62143 62171 62189 62191 62201 62207 62213 62219 62233 62273 62297 62299 62303 62311 62323 62327 62347 62351 62383 62401 62417 62423 62459 62467 62473 62477 62483 62497 62501 62507 62533 62539 62549 62563 62581 62591 62597 62603 62617 62627 62633 62639 62653 62659 62683 62687 62701 62723 62731 62743 62753 62761 62773 62791 62801 62819 62827 62851 62861 62869 62873 62897 62903 62921 62927 62929 62939 62969 62971 62981 62983 62987 62989 63029 63031 63059 63067 63073 63079 63097 63103 63113 63127 63131 63149 63179 63197 63199 63211 63241 63247 63277 63281 63299 63311 63313 63317 63331 63337 63347 63353 63361 63367 63377 63389 63391 63397 63409 63419 63421 63439 63443 63463 63467 63473 63487 63493 63499 63521 63527 63533 63541 63559 63577 63587 63589 63599 63601 63607 63611 63617 63629 63647 63649 63659 63667 63671 63689 63691 63697 63703 63709 63719 63727 63737 63743 63761 63773 63781 63793 63799 63803 63809 63823 63839 63841 63853 63857 63863 63901 63907 63913 63929 63949 63977 63997 64007 64013 64019 64033 64037 64063 64067 64081 64091 64109 64123 64151 64153 64157 64171 64187 64189 64217 64223 64231 64237 64271 64279 64283 64301 64303 64319 64327 64333 64373 64381 64399 64403 64433 64439 64451 64453 64483 64489 64499 64513 64553 64567 64577 64579 64591 64601 64609 64613 64621 64627 64633 64661 64663 64667 64679 64693 64709 64717 64747 64763 64781 64783 64793 64811 64817 64849 64853 64871 64877 64879 64891 64901 64919 64921 64927 64937 64951 64969 64997 65003 65011 65027 65029 65033 65053 65063 65071 65089 65099 65101 65111 65119 65123 65129 65141 65147 65167 65171 65173 65179 65183 65203 65213 65239 65257 65267 65269 65287 65293 65309 65323 65327 65353 65357 65371 65381 65393 65407 65413 65419 65423 65437 65447 65449 65479 65497 65519 65521 -

.

.

List of prime numbers under 20000000

.

Following are the links to files containing first 1270607 prime numbers I found under 20000000 using software I made in c# 2010.

Prime numbers between 00000000 and 00999999 inclusive Prime numbers between 01000000 and 01999999 inclusive Prime numbers between 02000000 and 02999999 inclusive Prime numbers between 03000000 and 03999999 inclusive Prime numbers between 04000000 and 04999999 inclusive Prime numbers between 05000000 and 05999999 inclusive Prime numbers between 06000000 and 06999999 inclusive Prime numbers between 07000000 and 07999999 inclusive Prime numbers between 08000000 and 08999999 inclusive Prime numbers between 09000000 and 09999999 inclusive Prime numbers between 10000000 and 10999999 inclusive Prime numbers between 11000000 and 11999999 inclusive Prime numbers between 12000000 and 12999999 inclusive Prime numbers between 13000000 and 13999999 inclusive Prime numbers between 14000000 and 14999999 inclusive Prime numbers between 15000000 and 15999999 inclusive Prime numbers between 16000000 and 16999999 inclusive Prime numbers between 17000000 and 17999999 inclusive Prime numbers between 18000000 and 18999999 inclusive Prime numbers between 19000000 and 20000000 inclusive

Download all 20 files containing all prime numbrs under 20000000 (prime number count 1270607) as a zip file

.

.

If there are any mistakes then I will surely remove them whenever found.

I will upload source code of application I made and used for generating above prime numbers in some near-future post some time else.

.