Queen's Gambit
1.d4 d5 2.c4
White gives: The c-pawn
If Black takes it, White gets the pawn back and keeps a big centre. That is why it is hardly a real gambit.
A gambit gives up a pawn early, on purpose, to get speed and space in return. Is that a good deal? It depends on what you do with the extra moves.
The history comes from the pages below. Every move on this page was run through a chess program, move by move, and the checkmates were confirmed the same way. Claims about the best move were checked with the Stockfish engine.