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Last name Shigai (Шигай , Shigai ) , across the world, is a rare cognomen. The last name Shigai is habitual in Ukraine, where it is a rare surname, Kyrgyzstan, and Kazakhstan, where it is a very rare surname. In absolute terms, it is the most numerous in Ukraine, Russia, and India. Much less frequently, Shigai is the forename as well as the last name.