![]() We can see the number of decimal digits in \(N\) is 154: No of bits in prime is 256 ![]() The following is a sample run and have \(p\) and \(q\) have 256 bits and N has 512 bits. ![]() ![]() Print ("Count of decimal digits (N): ",len(str(N))) Print ("\nCount of decimal digits (p): ",len(str(p))) We will then use the RSA method of finding the modulus (\(N\)) and determine the number of decimal digits in these values: import In the following Python program we will generate two random prime numbers (\(p\) and \(q\)) and which are a given length long. For RSA-2048 we use two 1,024-bit prime numbers, and RSA-4096 uses two 2,048-bit prime numbers. The value of \(N\) is then part of the public and the private key. In RSA, for example, we take two prime numbers (\(p\) and \(q\)) and then multiply them together to create a modulus (\(N\)). In this case we will use Python to generate a random n-bit prime number. Many operations in public key encryption involve the \(\pmod p\) operation and where we take the modulus of a prime number. ![]()
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March 2023
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