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Too late to edit but apparently SSNs are not reused: https://www.ssa.gov/history/hfaq.html

Q20: Are Social Security numbers reused after a person dies?

A: No. We do not reassign a Social Security number (SSN) after the number holder's death. Even though we have issued over 453 million SSNs so far, and we assign about 5 and one-half million new numbers a year, the current numbering system will provide us with enough new numbers for several generations into the future with no changes in the numbering system.



I wonder how this is possible when there are only one billion combinations of digits.


There are only around 330 million Americans and about 5 million born/immigrated each year. 1 billion possibilities will be enough for about 100 more years. Presumably sometime before then we can replace or update the system (or worst case add one more digit).




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