Reply To: Maths
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28th October 2024 at 10:00 am
#98066
Kingswinford-Warriors-Alumni
Participant
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