Problem of the Week 990

Factorial Sum and Product

MacPoW Home ||  Forum PoWs ||  Teachers' Place ||  Student Center ||  Search MacPoW

Find all triples of nonnegative integers a, b, c such that a! b! = a! + b! + c!.

Suggested by Christopher Tynan who saw it in the first round of the British Mathematics Olympiad.

© Copyright 2003 Stan Wagon. Reproduced with permission.