Needlebar.com has a chart showing serial numbers against years.
Serial numbers between 1,500,001 and 1,619,904 for Frister and Rossman were made from 1915 to 1920. I'm guessing in the latter part of that period by your serial number.
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This number is the style of the electric motor. The machine serial number is probably on the big flat machine base just below the electric motor
51k15 Is the model number the serial number begins with a letter, with which you can date your machine at the singer website.
It is I'm sure, I have a cabinet for the machine but no machine.
The singer sewing machine with a serial number AD588457 was 1933, model 15. Made in Elizabeth, NJ.
What is the value of my Singer miniature see machine serial # 29962 ?