Suppose cryptographic keys are generated at startup time on a certain O, before much entropy has buit up for eeding the TRNO of he machine in partc the primes p, g in RSA are chosen at this time, with the resut that they are not very random. Any hwo machines running this 00 have a non negligtie proeuty of agreeing on one of the factors of N pg in the RSA parameter generation Some clever attackers have the idea of harvesting the public parameter N trom a large number of these ystens, whch they are atie to do over henmet because these machines are actually webservers They know a way to break at inast a few of the RSAinplementations on the severs Can you th of what they Could do? Hint: Suppose N,- P and N pr where p, , and rare prime and yr. What can you do

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