{"id":166225,"date":"2023-11-09T11:55:41","date_gmt":"2023-11-09T09:55:41","guid":{"rendered":"https:\/\/www.stiridirecte.ro\/?p=166225"},"modified":"2023-11-09T11:55:41","modified_gmt":"2023-11-09T09:55:41","slug":"de-ce-sunt-nr-prime-atat-de-importante-in-criptografie","status":"publish","type":"post","link":"https:\/\/www.stiridirecte.ro\/de-ce-sunt-nr-prime-atat-de-importante-in-criptografie-166225","title":{"rendered":"De ce sunt nr prime at\u00e2t de importante \u00een criptografie"},"content":{"rendered":"<p><strong>Ce sunt numerele prime? Reprezint\u0103 o clas\u0103 special\u0103 de numere naturale, care au doi divizori pozitivi, caracteristic\u0103 unic\u0103, de altfel. Acestea se divid cu 1 \u0219i cu ele \u00eensele.\u00a0Acest aspect distinctiv le confer\u0103 numerelor prime o semnifica\u021bie aparte \u00een matematic\u0103 \u0219i \u00eentr-o serie de aplica\u021bii practice.<\/strong><\/p><div id=\"stiri-3283507075\" class=\"stiri-continut stiri-entity-placement\"><div class='hbagency_space_26578'><\/div><\/div>\n<p>Ce este criptografia? Este \u0219tiin\u021ba care conduce la p\u0103strarea informa\u021biilor \u00een siguran\u021b\u0103! Le transform\u0103 \u00eentr-o form\u0103 pe care doar destinatarii informa\u021bi o pot \u00een\u021belege. \u00cen criptografie, un mesaj original lizibil de c\u0103tre om, denumit text simplu, este schimbat prin intermediul unui algoritm sau a unei serii de opera\u021bii matematice \u00een ceva pe care un destinatar neinformat nu poate citi, nu poate \u00een\u021belege mesajul. \u201dOpera\u201d se nume\u0219te text cifrat.<\/p>\n<h2><strong>De ce sunt, \u00eens\u0103, at\u00e2t de importante pentru criptografie numerele prime?<\/strong><\/h2>\n<p>Mereu oameni au \u00eencercat s\u0103 trimit\u0103 mesaje pentru destinatari stabili\u021bi, pe care doar ei s\u0103 le poat\u0103 citi, astfel c\u0103 au g\u0103sit solu\u021bia. Criptografia, o solu\u021bie veche chiar de mii de ani. Criptarea poate fi folosit\u0103 de oricine, de la generalii care f\u0103ceau schimb de ordine secrete \u00een timpul r\u0103zboiului p\u00e2n\u0103 la po\u0219ta electronic\u0103 sau transferurile bancare pe internet. Cu timpul, criptografia a avansat, au fost g\u0103site metode mai sigure de transmitere a mesajelor, cu toate acestea, unele au fost decodate, cu ajutorul algoritmilor \u0219i mai avansa\u021bi.<\/p>\n<p>Un exemplu foarte bun vine din Al Doilea R\u0103zboi Mondial. Atunci c\u00e2nd nem\u021bii au folosit Enigma, o ma\u0219in\u0103 complex\u0103, format\u0103 din tastatur\u0103, discuri rotative \u0219i un tablou de prize. Astfel, Enigma a folosit una din cele 158 de milioane de milioane de milioane de posibilit\u0103\u021bi! Se credea c\u0103 acest cod nu putea fi spart, dar Serviciul Secret Britanic, condus de matematicianul Alan Turing, a construit unul din primele calculatoare care au reu\u0219it s\u0103-l descifreze.<\/p>\n<p>Ast\u0103zi, calculatoarele sunt mult mai performante \u0219i sunt capabile s\u0103 \u00eencerce milioane de posibilit\u0103\u021bi \u00een fiecare secund\u0103. O opera\u021bie matematic\u0103 mai dificil\u0103, care trebuie g\u0103sit\u0103, este solu\u021bia dezvolt\u0103rii algoritmilor de criptare mai buni.<\/p>\n<p>\u00cens\u0103&#8230; Calculatoarele sunt foarte rapide la adun\u0103re, sc\u0103dere, \u00eenmul\u021bire \u0219i \u00eemp\u0103r\u021bire, doar c\u0103 dau semne de \u201doboseal\u0103\u201d la descompunerea numerelor \u00eentregi \u00een numere prime.<\/p>\n<h2>Caracteristicile numerelor prime<\/h2>\n<p><a href=\"https:\/\/www.stiridirecte.ro\/secretele-fascinante-ale-numerelor-prime-165872\">Numerele prime<\/a>, at\u00e2t de importante \u00een criptografie, au o serie de caracteristici foarte importante, pe care vi le vom descrie imediat.<\/p>\n<p>Au doi diviziori unici: Numerele prime se divid prin 1 \u0219i prin ele \u00eensele. Proprietate care le deosebe\u0219te de numerele compuse, lesne de \u00een\u021beles, cu mai mul\u021bi diviziori dec\u00e2t doi.<\/p>\n<p>Distribu\u021bia numerelor prime: Numerele prime sunt distribuite aleatoriu \u00een r\u00e2ndul numerelor naturale. S\u0103 mai spunem c\u0103 ele devin mai rare pe m\u0103sur\u0103 ce numerele cresc, potrivit Teoriei Numerelor Prime.<\/p>\n<p>Teorema Fundamental\u0103 a Aritmeticii: Conform acesteia, fiecare num\u0103r \u00eentreg poate fi exprimat ca \u0219i produs de numere prime.<\/p>\n<p>Infinite Numere Prime: Afirma\u021bia a fost ar\u0103tat\u0103 pentru prima dat\u0103 de Euclid, cunoscut\u0103 drept \u201eDemonstra\u021bia lui Euclid\u201d.<\/p>\n<p>Numere Prime Gemene: Sunt perechi de numere prime consecutive cu o diferen\u021b\u0103 de doar dou\u0103 \u00eentre ele, cum ar fi, ca exemple, (3, 5), (11, 13), (17, 19).<\/p>\n<p>Numere Prime Palindromice: Reprezint\u0103 numerele prime care citite de la st\u00e2nga la dreapta sunt la fel ca atunci c\u00e2nd sunt citite de la dreapta la st\u00e2nga. Cum ar fi 101, 202, 303&#8230;<\/p>\n<div id=\"stiri-2156974604\" class=\"stiri-dupa-continut stiri-entity-placement\" style=\"margin-left: auto;margin-right: auto;text-align: center;\"><div class='hbagency_space_26578'><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Ce sunt numerele prime? Reprezint\u0103 o clas\u0103 special\u0103 de numere naturale, care au doi divizori pozitivi, caracteristic\u0103 unic\u0103, de altfel. Acestea se divid cu 1 \u0219i cu ele \u00eensele.\u00a0Acest aspect distinctiv le confer\u0103 numerelor prime [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":166227,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2],"tags":[7417,7408],"class_list":["post-166225","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-stiri","tag-criptografie","tag-numere-prime"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>De ce sunt nr prime at\u00e2t de importante \u00een criptografie - Stiri Directe<\/title>\n<meta name=\"description\" content=\"Ce sunt numerele prime? Reprezint\u0103 o clas\u0103 special\u0103 de numere naturale, care au doi divizori pozitivi, caracteristic\u0103 unic\u0103, de altfel. 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