Alicia wants to send a message to Benito through an unsecured channel. To do this, they decide to agree that the cryptographic algorithm to be used will be RSA. Alice chooses the following pair of prime numbers. p = 3 and q = 7. Once the algorithm starts running it generates e = 5. a) Check if the number e that the algorithm has generated meets all the proposed conditions in the RSA. b) Calculate the inverse necessary to decipher the message sent by Alice. c) Calculate the public encryption key and the private key so that Benito can decrypt the cryptosystem sent by Alice. d) Alice wants to send the plain text M = 9 to Benito. What will be the cryptogram generated by Alicia when using RSA with the previous data?

Alicia wants to send a message to Benito through an unsecured channel. To do this, they decide to agree that the cryptographic algorithm to be used will be RSA. Alice chooses the following pair of prime numbers. p = 3 and q = 7. Once the algorithm starts running it generates e = 5. a) Check if the number e that the algorithm has generated meets all the proposed conditions in the RSA. b) Calculate the inverse necessary to decipher the message sent by Alice. c) Calculate the public encryption key and the private key so that Benito can decrypt the cryptosystem sent by Alice. d) Alice wants to send the plain text M = 9 to Benito. What will be the cryptogram generated by Alicia when using RSA with the previous data?