Tub son: Versiyalar orasidagi farq

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2024-yil 6-sentyabr, 10:49 dagi (joriy) koʻrinishi

Tub son — birdan katta natural son boʻlib, ikkita natural boʼluvchiga ega: 1 va oʻzi. Tub sonlarning xossalarini oʻrganuvchi fan Sonlar nazariyasi deb ataladi.

Tub sonlar ketma ketligi quyidagilardan boshlanadi:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293 (shuningdek tub sonlar roʻyxatini koʻring)

Yana qarang

Tub sonlar roʻyxati

Adabiyotlar

Г. Гальперин, «Просто о простых числах», «Квант», № 4, 1987
«Алгоритмические проблемы теории чисел» (Wayback Machine saytida 2005-01-13 sanasida arxivlangan), глава из книги «Введение в криптографию» (Wayback Machine saytida 2005-01-11 sanasida arxivlangan) под редакцией В. В. Ященко
О. Н. Василенко, «Теоретико-числовые алгоритмы в криптографии» (Wayback Machine saytida 2005-09-04 sanasida arxivlangan)
А. В. Черемушкин, «Лекции по арифметическим алгоритмам в криптографии» (Wayback Machine saytida 2005-09-09 sanasida arxivlangan)
К.Кноп «В погоне за простотой»
Б. А. Кордемский Математическая смекалка. - М.:ГИФ-МЛ, 1958.-576 с. (стр. 344-345).

Havolalar

PrimeGrid prime lists (Wayback Machine saytida 2010-05-30 sanasida arxivlangan) - все простые числа, найденные в рамках проекта PrimeGrid (Wayback Machine saytida 2010-05-30 sanasida arxivlangan)
Геометрия простых и совершенных чисел^(isp.)

@@ Qator 1: / Qator 1: @@
+[[Fayl:Prime Factorization of 42 (Second Example).png|thumb|<math>42=2\times 3 \times7</math>]]
-'''Tub son''' — birdan katta [[natuaral son]] boʼlib, ikkita natural [[boʼluvchi]]ga ega: [[1 (raqam)|1]] va oʼzi. Tub sonlarni xossalarini oʼrganuvchi fan [[Sonlar nazariyasi]] deb ataladi.
+'''Tub son''' — birdan katta [[natural son]] boʻlib, ikkita natural [[boʼluvchi]]ga ega: [[1 (raqam)|1]] va oʻzi. Tub sonlarning xossalarini oʻrganuvchi fan [[Sonlar nazariyasi]] deb ataladi.
 Tub sonlar ketma ketligi quyidagilardan boshlanadi:
-: [[2 (son)|2]], [[3 (son)|3]], [[5 (son)|5]], [[7 (son)|7]], [[11 (son)|11]], [[13 (son)|13]], [[17 (son)|17]], [[19 (son)|19]], [[23 (son)|23]], [[29 (son)|29]], [[31 (son)|31]], [[37 (son)|37]], [[41 (son)|41]], [[43 (son)|43]], [[47 (son)|47]], [[53 (son)|53]], [[59 (son)|59]], [[61 (son)|61]], [[67 (son)|67]], [[71 (son)|71]], [[73 (son)|73]], [[79 (son)|79]], [[83 (son)|83]], [[89 (son)|89]], [[97 (son)|97]], [[101 (son)|101]], [[103 (son)|103]], [[107 (son)|107]], [[109 (son)|109]], [[113 (son)|113]] (shuningdek [[tub sonlar roʻyhati]]ni koring)
+: [[2 (son)|2]], [[3 (son)|3]], [[5 (son)|5]], [[7 (son)|7]], [[11 (son)|11]], [[13 (son)|13]], [[17 (son)|17]], [[19 (son)|19]], [[23 (son)|23]], [[29 (son)|29]], [[31 (son)|31]], [[37 (son)|37]], [[41 (son)|41]], [[43 (son)|43]], [[47 (son)|47]], [[53 (son)|53]], [[59 (son)|59]], [[61 (son)|61]], [[67 (son)|67]], [[71 (son)|71]], [[73 (son)|73]], [[79 (son)|79]], [[83 (son)|83]], [[89 (son)|89]], [[97 (son)|97]], [[101 (son)|101]], [[103 (son)|103]], [[107 (son)|107]], [[109 (son)|109]], [[113 (son)|113]], [[127 (son)|127]], [[131 (son)|131]], [[137 (son)|137]], [[139 (son)|139]], [[149 (son)|149]], [[151 (son)|151]], [[157 (son)|157]], [[163 (son)|163]], [[167 (son)|167]], [[173 (son)|173]], [[179 (son)|179]], [[181 (son)|181]], [[191 (son)|191]], [[193 (son)|193]], [[197 (son)|197]], [[199 (son)|199]], [[211 (son)|211]], [[223 (son)|223]], [[227 (son)|227]], [[229 (son)|229]], [[233 (son)|233]], [[239 (son)|239]], [[241 (son)|241]], [[251 (son)|251]], [[257 (son)|257]], [[263 (son)|263]], [[269 (son)|269]], [[271 (son)|271]], [[277 (son)|277]], [[281 (son)|281]], [[283 (son)|283]], [[293 (son)|293]] (shuningdek [[tub sonlar roʻyxati]]ni koʻring)
+== Yana qarang ==
+* [[Tub sonlar roʻyxati]]
+== Adabiyotlar ==
-== Shuningdek qarang ==
-* [[Tub sonlar roʻyhati]]
-== Adabiyot ==
 * Г. Гальперин, ''[http://kvant.mccme.ru/1987/04/prosto_o_prostyh_chislah.htm «Просто о простых числах»]'', «[[Квант (журнал)|Квант]]», №&nbsp;4, 1987
-* ''[http://www.cryptography.ru/db/msg.html?mid=1161235&uri=node28.html «Алгоритмические проблемы теории чисел»]'', глава из книги ''[http://www.cryptography.ru/db/msg.html?mid=1161235&uri=book.html «Введение в криптографию»]'' под редакцией В.&nbsp;В.&nbsp;Ященко
+* ''[http://www.cryptography.ru/db/msg.html?mid=1161235&uri=node28.html «Алгоритмические проблемы теории чисел»] {{Webarxiv|url=https://web.archive.org/web/20050113182047/http://www.cryptography.ru/db/msg.html?mid=1161235&uri=node28.html |date=2005-01-13 }}'', глава из книги ''[http://www.cryptography.ru/db/msg.html?mid=1161235&uri=book.html «Введение в криптографию»] {{Webarxiv|url=https://web.archive.org/web/20050111163147/http://www.cryptography.ru/db/msg.html?mid=1161235&uri=book.html |date=2005-01-11 }}'' под редакцией В.&nbsp;В.&nbsp;Ященко
-* О. Н. Василенко, ''[http://www.cryptography.ru/db/msg.html?mid=1169580 «Теоретико-числовые алгоритмы в криптографии»]''
+* О. Н. Василенко, ''[http://www.cryptography.ru/db/msg.html?mid=1169580 «Теоретико-числовые алгоритмы в криптографии»] {{Webarxiv|url=https://web.archive.org/web/20050904122507/http://www.cryptography.ru/db/msg.html?mid=1169580 |date=2005-09-04 }}''
-* А. В. Черемушкин, ''[http://www.cryptography.ru/db/msg.html?mid=1169266 «Лекции по арифметическим алгоритмам в криптографии»]''
+* А. В. Черемушкин, ''[http://www.cryptography.ru/db/msg.html?mid=1169266 «Лекции по арифметическим алгоритмам в криптографии»] {{Webarxiv|url=https://web.archive.org/web/20050909090950/http://www.cryptography.ru/db/msg.html?mid=1169266 |date=2005-09-09 }}''
-* К.Кноп ''[http://www.geocities.com/CapeCanaveral/4344/211.html «В погоне за простотой»]''
+* К.Кноп ''[https://web.archive.org/web/19990202185354/http://www.geocities.com/CapeCanaveral/4344/211.html «В погоне за простотой»]''
 * Б. А. Кордемский Математическая смекалка. - М.:ГИФ-МЛ, 1958.-576 с. (стр. 344-345).
 == Havolalar ==
-* [http://primegrid.com/orig/torrent.php PrimeGrid prime lists] - все простые числа, найденные в рамках проекта [http://primegrid.com/orig/torrent.php PrimeGrid]
+* [http://primegrid.com/orig/torrent.php PrimeGrid prime lists] {{Webarxiv|url=https://web.archive.org/web/20100530071550/http://primegrid.com/orig/torrent.php |date=2010-05-30 }} - все простые числа, найденные в рамках проекта [http://primegrid.com/orig/torrent.php PrimeGrid] {{Webarxiv|url=https://web.archive.org/web/20100530071550/http://primegrid.com/orig/torrent.php |date=2010-05-30 }}
 * [http://www.polprimos.com Геометрия простых и совершенных чисел]{{ref-es}}
 [[Turkum:Sonlar nazariyasi]]
-{{Link GA|es}}
-[[af:Priemgetal]]
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-[[an:Numero primero]]
-[[ang:Frumtæl]]
-[[ar:عدد أولي]]
-[[arz:عدد اولى]]
-[[az:Sadə ədəd]]
-[[bat-smg:Pėrmėnis skaitlios]]
-[[be-x-old:Просты лік]]
-[[bg:Просто число]]
-[[bn:মৌলিক সংখ্যা]]
-[[br:Niver kentael]]
-[[bs:Prost broj]]
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-[[cs:Prvočíslo]]
-[[cy:Rhif cysefin]]
-[[da:Primtal]]
-[[de:Primzahl]]
-[[el:Πρώτος αριθμός]]
-[[en:Prime number]]
-[[eo:Primo]]
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-[[et:Algarv]]
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-[[ga:Uimhir phríomha]]
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-[[haw:Helu kumu]]
-[[he:מספר ראשוני]]
-[[hi:अभाज्य संख्या]]
-[[hr:Prost broj]]
-[[hsb:Primowa ličba]]
-[[ht:Nonm premye]]
-[[hu:Prímszámok]]
-[[hy:Պարզ թիվ]]
-[[id:Bilangan prima]]
-[[is:Frumtala (stærðfræði)]]
-[[it:Numero primo]]
-[[ja:素数]]
-[[jbo:nalfendi kacna'u]]
-[[jv:Wilangan prima]]
-[[ka:მარტივი რიცხვი]]
-[[kn:ಅವಿಭಾಜ್ಯ ಸಂಖ್ಯೆ]]
-[[ko:소수 (수론)]]
-[[ku:Hejmarên hîmî]]
-[[la:Numerus primus]]
-[[lb:Primzuel]]
-[[lmo:Nümar primm]]
-[[lt:Pirminis skaičius]]
-[[lv:Pirmskaitlis]]
-[[ml:അഭാജ്യസംഖ്യ]]
-[[mn:Энгийн тоо]]
-[[mr:मूळ संख्या]]
-[[ms:Nombor perdana]]
-[[nds:Primtall]]
-[[nl:Priemgetal]]
-[[nn:Primtal]]
-[[no:Primtall]]
-[[oc:Nombre primièr]]
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-[[pms:Nùmer prim]]
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-[[ru:Простое число]]
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-[[sh:Prost broj]]
-[[si:ප්‍රථමක සංඛ්‍යා]]
-[[simple:Prime number]]
-[[sk:Prvočíslo]]
-[[sl:Praštevilo]]
-[[sq:Numri i thjeshtë]]
-[[sr:Прост број]]
-[[sv:Primtal]]
-[[sw:Namba tasa]]
-[[szl:Pjyrszo nůmera]]
-[[ta:பகா எண்]]
-[[th:จำนวนเฉพาะ]]
-[[tl:Pangunahing bilang]]
-[[tr:Asal sayılar]]
-[[uk:Просте число]]
-[[ur:اولی عدد]]
-[[vi:Số nguyên tố]]
-[[vls:Priemgetal]]
-[[war:Panguna nga ihap]]
-[[xal:Экн тойг]]
-[[yi:פרימצאל]]
-[[yo:Nọ́mbà àkọ́kọ́]]
-[[zh:素数]]
-[[zh-classical:質數]]
-[[zh-min-nan:Sò͘-sò͘]]
-[[zh-yue:質數]]