**Transcription for Educational Website on RSA Algorithm:**Calculate the following variables using the RSA algorithm:Given:- \( P = 3 \)- \( q = 5 \)Tasks:a. Calculate \( N \) b. Calculate \( \varphi(N) \) c. Calculate \( e \) d. Calculate \( D \) **Explanation:**- **N** is the product of the two primes \( P \) and \( q \).- **\(\varphi(N)\)** is the Euler's totient function for \( N \), which is calculated as \( (P-1) \times (q-1) \).- **\(e\)** is the public exponent chosen such that \( 1 < e < \varphi(N) \) and \( e \) is coprime to \(\varphi(N)\).- **\(D\)** is the modular multiplicative inverse of \( e \) with respect to \(\varphi(N)\), satisfying the equation \( e \times D \equiv 1 \, (\text{mod} \, \varphi(N)) \).This calculation is a fundamental part of understanding how public and private keys are generated in RSA encryption.

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Calculate the following variables using RSA algorithm: P=3, q=5 а. N: b. Ø(N): С. е: d. D:

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Question

**Transcription for Educational Website on RSA Algorithm:**

Calculate the following variables using the RSA algorithm:

Given:
- \( P = 3 \)
- \( q = 5 \)

Tasks:
a. Calculate \( N \)
b. Calculate \( \varphi(N) \)
c. Calculate \( e \)
d. Calculate \( D \)

**Explanation:**

- **N** is the product of the two primes \( P \) and \( q \).
- **\(\varphi(N)\)** is the Euler's totient function for \( N \), which is calculated as \( (P-1) \times (q-1) \).
- **\(e\)** is the public exponent chosen such that \( 1 < e < \varphi(N) \) and \( e \) is coprime to \(\varphi(N)\).
- **\(D\)** is the modular multiplicative inverse of \( e \) with respect to \(\varphi(N)\), satisfying the equation \( e \times D \equiv 1 \, (\text{mod} \, \varphi(N)) \).

This calculation is a fundamental part of understanding how public and private keys are generated in RSA encryption.

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