Is it better to use princeprocessor rather than using Hashcat alone?

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I think royce explained it pretty well. In real life, forensics, pentester and others that do hash cracking as part of their job have no time to attend the process of hash cracking. Even less, they have no time to feed new attacks all the time. The PRINCE attack helps here because it works around this problem by processing so many candidates that the attack will never finish. So they can let it run for years and leave the console and watch from time to time if it was cracked. PRINCE is not doing this in a Brute-Force approach, but uses some "cracking wisdom" to do this. For details, please see the links royce provided. Short Story: It's not scripted, it's an algorithm. This "feature" makes it kind of unique in the password guessing generator world.