Find the private exponent used by RSA encryption when the public key is formed by modulus N=221 and public exponent e=11.

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Step 1)
We factorize the modulus N= 221 in two prime factors p and q.
We notice that 221= 17 * 13 => p=17 and q=13

Step 2)
We compute the Euler’s totient.
Φ(n) = (p-1)*(q-1)=(17-1)*(13-1)=16*12=192...

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