Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/46136
Title: Explorando os números primos e uma das suas aplicações atuais: a criptografia
Other Titles: Exploring the prime numbers and one of their current aplications: the encryption
Authors: Freitas, Adriana Xavier
Toledo, Maria do Carmo Pacheco de
Gomes, Neila Mara
Keywords: Números primos
Criptografia
Ensino de matemática
Prime number
Encryption
Mathematics teaching
Issue Date: 1-Mar-2021
Publisher: Universidade Federal de Lavras
Citation: MIRANDA, V. da S. Explorando os números primos e uma das suas aplicações atuais: a criptografia. 2020. 91 p. Dissertação (Mestrado em Matemática em Rede Nacional) – Universidade Federal de Lavras, Lavras, 2021.
Abstract: Prime numbers are a great mystery in Mathematics with many questions and curiosities about them. Is there a function which give us all prime numbers? How can one know wether a given number is prime or not? How useful are prime numbers? Questions like those motivated us to write about this topic which is not so much discussed in basic education and has huge relevance, especially nowadays. One of its applications with direct influence in everyday life is encryption. When we make a bank transaction, exchange a message or even when we write a note using codes, we are using encryption and consequently Mathematics. In this dissertation we work, first, with concepts about prime numbers, generating functions, primality tests, special primes and some fundamental theorems about them. Next, we present RSA and ElGamal encryption systems, including their encoding, decryption and authenticity. We also present the Diffie- Hellman Protocol, an advance in key exchange. Lastly, we suggest activities to arouse the interest of students of basic education and to reinforce the importance of Mathematics in the life of everybody.
URI: http://repositorio.ufla.br/jspui/handle/1/46136
Appears in Collections:Matemática em Rede Nacional - PROFMAT - Mestrado Profissional (Dissertações)



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