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Homework answers / question archive / Use SageMath to answer the following questions

Use SageMath to answer the following questions

Writing

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

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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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