Reply To: Maths

Nice question @USB-C_is_supreme! Here is a question I thought of that is similar to yours:

Find all triples of positive integers a,b,p, with p being a prime, such that a^p + b^p = p!. (Please tell me that my formatting is correct!)

[Note: You will (probably) need to look up Fermat’s Little Theorem, if you don’t know it already. It will prove quite useful. No other weird background knowledge is necessary.]

I hadn’t seen this problem before and it looks really interesting. Am very much enjoying the discussion on this thread! Keep them coming. Harry