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In RSA public-key material (e, N), why must the encryption exponent e be relatively prime to f(N)$\phi(N)$? Why must any public key encriptionencryption algorithm resist CPA?

In RSA public-key material (e, N), why must the encryption exponent e be relatively prime to f(N)? Why must any public key encription algorithm resist CPA?

In RSA public-key material (e, N), why must the encryption exponent e be relatively prime to $\phi(N)$? Why must any public key encryption algorithm resist CPA?

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RSA encryption exponent

In RSA public-key material (e, N), why must the encryption exponent e be relatively prime to f(N)? Why must any public key encription algorithm resist CPA?