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I think your 1971-72 line should read J1-J999J99 (no leading "1")...
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Actually, IIRC the key is that the 1971-1972 "wandering J" serials only had 6 characters. When the numbers reached 1J9999, the next number was 2J1, then 2J9999, then 3J1, and so on. 1J10000 was not used in 1971-1972 because it has 7 characters.
AFAIK S&W did not use 5 numbers after the "1J" until late 1982, starting with 1J10000. They presumably converted to the modern 3-letter 4-number system before 1J99999 was reached.
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Confusing? All S&W serial and model numbering is confusing.
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^^^ This.
