Brainsteem Mathematics Challenges: Factorial Sum

in #mathematics7 years ago

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!


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You got a 4.48% upvote from @postpromoter courtesy of @rycharde!

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:-)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.