Checkmate in 5 moves?

The task is to find mate by white in 5 moves. Apparantly, this is part of a famous chess problem, but I haven't been able to come up with a 5-move solution (7-10 moves is much simpler, though).

Thoughts?
roadbuster

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Pierre Charles Fournier de Saint Amant

Chess History With Sarah Beth

"After the death of Bourdonnais, the mantle of leading chess player of France fell upon the shoulders of Pierre Charles Fournier de Saint Amant. Saint Amant was born in Château Latour in the Bordeaux region of France on September 9, 1802.
During his life he was a wine merchant, a clerk, an actor, an explorer, a diplomat and the French (and possibly the world) chess champion.
He learned chess from his mentor Wilhelm (William) Schlumberger."
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