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SSNs aren't tricky by design.
3 digit area number, 2 digit group number, 4 digit serial number.
https://www.ssa.gov/history/ssn/geocard.html
So 1,000 combinations x 99 combinations (00 is not a choice) x 10,000 combinations.
990,000,000 potential SSNs. The only trick would be determining which ones are valid and which are not.
(0... 0... 0... - 0... 0... - 0... 0... 0... 2 - DAMN YOU ROOSEVELT!)
In any given area and group there are only 10,000 SSNs.
Shit you could probably just ask an AI chatbot for one and get a valid one it scrapped off the (dark)web. CC#s, too.
This is no longer the case. Any SSN issued after 2011 is fully randomized
Additionally, the following SSNs are always invalid: