Incorrect. Minato older than all of Nagato, konan a and yahiko. Db confirm this. Minato was train before amegakure orphans.
In the manga Jiraiya thought Nagato was the chosen one first then Minato
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A mentions how Jiraiya thought of Minato as the chosen one
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. In Jiraiya's wikia it says Nagato's team was trained first
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. Plus if I remember right, Wikia use to list Nagato as 45 when he died but have him as 35 like someone changed his age; Minato would have been 41 when if Nagato really was 45 since Naruto was 16 at the time. If Jiraiya trained Minato team first then why would he think Nagato was the first child of prophecy then Minato then Naruto?