We want to set up RSA cryptosystem in a network of n users. a. How many prime numbers do we have to generate a key for users? b. Now consider we want to reduce this number by generating a smaller pool...

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Extracted text: We want to set up RSA cryptosystem in a network of n users. a. How many prime numbers do we have to generate a key for users? b. Now consider we want to reduce this number by generating a smaller pool of prime numbers and making combinations of two of these primes (for each user we pick up a new pair). How is security of RSA cryptosystem affected?