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I cannot tell if the first letter of the serial number is R or K
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If it is a model 17 then the prefix is definitely a K. The letter K was used as part of the s/n all postwar K-frame revolvers with the adjustable rear sight through 1982. After that S&W went to a three letter/four numeric numbering system.
The only handguns on which S&W used an R-prefix s/n were two stainless steel J-frames, the models 60 and 651.
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Number after the letter is 703XXX.
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With a K prefix this s/n dates to 1966.