Let p, q, and e be three prime numbers. Let n p*q. We will use (e, n) as the public key. Please calculate the private key d. The hexadecimal values of p, q, and e are listed in the following. It should be noted that although p and q used in this task are quite large numbers, they are not large enough to be secure. We intentionally make them small for the sake of simplicity. In practice, these numbers should be at least 512 bits long (the one used here are only 128 bits). = p = F7E75FDC469067FFDC4E847C51F452DF E85CED54AF57E53E092113E62F436F4F q e OD88C3

Python is used to solve the aforementioned puzzle.below I am providing the copyable python code and explanation in the code itself, and I am providing screenshots of the output. #since the given values in hexadecimal convert them to decimal format of p,q and e as e1res1 = 'F7E75FDC469067FFDC4E847C51F452DF' p = int(res1, 16) #print(p)res2 = 'E85CED54AF57E53E092113E62F436F4F' q = int(res2, 16)#print(q)res3 = '0D88C3'e1 = int(res3, 16)#print(e1) #calculating values of n and fin = p*q fi = (p-1)*(q-1) #print(fi) #method for calculating gcd of two numbersdef gcd(a,b): if b==0: return a else: return gcd(b,a%b) for e in range(2,fi): if gcd(e,fi)== 1: break #calculating value of private key d using the given formula, d = (k*Φ(n) + 1) / e for i in range(1,10): x = 1 + i*fi if x % e == 0: d = int(x/e) break print('private key: '+str(d))

Answered: Let p, q, and e be three prime numbers. Let n p*q. We will use (e, n) as the public key. Please calculate the private key d. The hexadecimal values of p, q, and…

Database System Concepts

7th Edition

ISBN: 9780078022159

Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher: McGraw-Hill Education

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Question

Using linux, solve the following

Let p, q, and e be three prime numbers. Let n = p*q. We will use (e, n) as the public key. Please
calculate the private key d. The hexadecimal values of p, q, and e are listed in the following. It should be
noted that although p and q used in this task are quite large numbers, they are not large enough to be secure.
We intentionally make them small for the sake of simplicity. In practice, these numbers should be at least
512 bits long (the one used here are only 128 bits).
р F7E75FDC469067FFDC4E847C51F452DF
q E85CED54AF57E53E092113E62F436F 4F
e = 0D88C3
=

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