Question: (a) Encrypt the message MATH using the RSA system with n = 61*79 and e = 7. First translate each letter into an integer (in

  1. (a) Encrypt the message MATH using the RSA system with n = 61*79 and e = 7. First translate each letter into an integer (in the range [0, 25]) and group together pairs of integers, so you have two 4-digit numbers (padding 0's in the front if necessary). (b) Suppose that (n = 61*79, e = 7) is the public key. Find the private key and show how this private key is used to decrypt the ciphertext message: 1519 2227 1111. (Calculate the value of the private key, butdo not do the calculations in the decryption, only show what they should be.)

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