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The National Cipher Challenge

Reply To: Maths

#97860
USB-C_is_supreme
Participant

Hi y’all,

I’m 13 and I’m stuck on a what looks simple but is difficult question. a! + b! = 2^n, Find all pairs for a,b and n. I can find a few solutions myself, but is there any way to prove there are more/none? (By the way, a,b and n are all positive integers)

Nice problem! How many solutions did you find? Harry

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