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The First Solutions
Chessboard size 46×46

1, 3, 5, 2, 4, 9, 11, 13, 15, 6, 8, 19, 7, 22, 24, 26, 34, 37, 39, 41, 36, 44, 46, 35, 43, 38, 40, 42, 45, 23, 21, 16, 14, 10, 27, 18, 12, 25, 17, 20, 30, 33, 29, 32, 28, 31

Diagram of the first possible solution to the 46 Queens on a 46x46 chessboard problem