No. The number inside the caseback is the case number. All Omegas have one. The other number I quoted, 2531.80.00 is called the PIC and refers the the specific variant, dial, bracelet etc, this is never seen inside the case but is printed usually on the card. There were I think 3 or 4 case numbers used on the Bond SMP Auto, starting with 166.1603 (the non chronometer) and also 168.1603 (chronometer rated), yours, 168.1623 is a later version as can also be inferred by the superluminova dial. There is nothing rare about this watch, every Bond SMP Auto from around 1998 to 2008 will have that case number in the back. I do think it is a good deal but I dislike it intensely when sellers (particulary on ebay etc) use the word rare incorrectly. Incidentally it was the quartz version that was first seen in a Bond film, the auto came later.
Nice watch and fairly priced but is it rare? No.
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