# Basic chess problems

## Problems derived from the statistics tables

• White checks in 1.5 moves (12 solutions)
• White checks by discovered check in 2.5 moves (6 solutions)
• Black checks by double check in 3.0 moves (46 solutions)
• White checks by double discovered check in 4.5 moves (10 solutions)
• Black mates in 2.0 moves (8 solutions) [Fool's mate]
• Black mates by discovered check in 4.0 moves (4 solutions) [Sam Loyd, 1866]
• White mates by double check in 4.5 moves (768715 solutions)

## Problems using en passant captures

• Black checks in 3.0 moves by capturing a pawn en passant (30 solutions)
• White checks by double check in 3.5 moves by capturing a pawn en passant (4 solutions)
• White mates in 5.5 moves by capturing a pawn en passant (1054 solutions) [Hans Wilhelm Klüver, 1967]
• White mates by discovered check in 5.5 moves by capturing a pawn en passant (120 solutions)

## Problems using castling

• White checks in 4.5 moves by castling queenside (132 solutions)
• White checks in 4.5 moves by castling kingside (36 solutions)

## Problems using specific pieces

direct check discovered check double check direct checkmate discovered checkmate double checkmate 5 (12 sols) 5 (6 sols) 6 (46 sols) 8 (374 sols) 8 (4 sols) 10 (71 sols) 4 (10 sols) 7 (54 sols) 7 (36 sols) 6 (72 sols) 9 (288 sols) 9 (768715 sols) 3 (4 sols) 8 (825 sols) 8 (19 sols) 5 (12 sols) 10 (1510 sols) 10 (314 sols) 6 (31 sols) 9 (651 sols) 9 (119 sols) 9 (6798 sols) 10 (1 sol) 10 (31 sols) 3 (8 sols) n/a n/a 4 (8 sols) n/a n/a n/a 8 (3077 sols) n/a n/a 10 (4245 sols) n/a

## Problems using specific pawn promotions

direct check discovered check double check direct checkmate discovered checkmate double checkmate 9 (112611 sols) 9 (1110 sols) 11 (228168 sols) 10 (7 sols) >12 (? sols) 11 (4321 sols) 9 (56175 sols) 9 (1110 sols) 11 (136477 sols) 10 (8 sols) >12 (? sols) 11 (24147 sols) 9 (1843910 sols) 11 (487672 sols) 9 (1110 sols) 9 (6086 sols) 12 (305 sols) 12 (198 sols) 9 (1894535 sols) 11 (327048 sols) 9 (1110 sols) 9 (11636 sols) 12 (671 sols) 11 (26605 sols)