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Here is one of the most uncommon and desirable of all the Air Kings – a 1959 ROLEX AIR-KING reference 5504 OVERSIZED Super Precision. The 5504 seems to have been only produced in 1958-59 from our experience finding them. over the years. This is the largest and one of the rarest of all the AIR-KING series of watches. The case is the same measurement as the early EXPLORER watches from the same era and measures 36mm. across not including the crown.