
Find all solutions to the equation
2n = a! + b! + c!
in positive integers a, b, c and n. Show your proof.
(Here, ! means "factorial" and, if the superscript does not show properly, the left-hand side is 2^n.)
Originally from IrMO 2001 Paper 1 Q1.
The first correct answer and further interesting comments will be rewarded with an upvote.
Enjoy!
More Brainsteems coming soon...


Please Comment, Resteem and Upvote. Thanks!
AAKOM project and the MAP forum.@rycharde manages the
Also check out the new MAP Rewarder for passive income!
You got a 4.48% upvote from @postpromoter courtesy of @rycharde!
Want to promote your posts too? Check out the Steem Bot Tracker websitevote for @yabapmatt for witness! for more info. If you would like to support the development of @postpromoter and the bot tracker please
:-)Thanks for the @steemstem upvote - unexpected surprise!
Hahahahahahaha.
Laughing at myself, I should just keep calm and learn from the right answer.
This is back to school for me.