Setup an example rsa public/private key pair using primes

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RSA with three primes would also work: n = pqr, ?(n) = (p?1)(q?1)(r?1), gcd(e, ?(n)) = 1,

and d = e^?1 (mod ?(n)).

a) Setup an example RSA public/private key pair using primes 29, 31, 37, and e = 17.

b) Encrypt m = 10000 and then decrypt the ciphertext.

c) Explain why it is not preferred.

Reference no: EM13163824

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