Prime numbers generator - 6 - 171005Th

Prime numbers generator - 6 [1/2]

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

Version: 171005Th

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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.

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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.

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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.

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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.

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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:

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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

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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.

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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:

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

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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.

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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 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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 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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 -

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List of prime numbers under 20000000

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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

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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.

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