Pirates

A pack of pirates must divide a number of golden coins. Capitain distributes all coins and 3 coins remain which he takes. Pirates kill him and the new capitain divides coins, 2 coins remain. They kill him and the 3rd capitain divides coins and 1 coin remains. They kill him and the 4th capitain again divides and nothing remain. All pirates are happy and receive 439 coins each. How many coins at most could they have?


The answer is 3951.

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