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Use SageMath to answer the following questions
Use SageMath to answer the following questions.
Suppose your RSA public key factors as p = 6569 and q = 8089, and the public exponent e is 11. Suppose you were sent the Ciphertext 28901722. Perform the RSA Decryption and recover the plaintext
Expert Solution
Answer:
Given that p=6569
q=8089
e=11
n=(p*q)=53136641
pi(n)=(p-1)(q-1)=53121984
ciphertext=28901722
d=e-1mod(pi(n))
d=11-1mod(53121984)
d=33804899
plain text=cdmod n
=(28901722)33804899mod(53136641)
=3167473
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