Oh! That's really cool! I haven't thought of the odd primes.
I also assume that some non-odd primes work and as you say, some even numbers work too. Is there a specific way of describing them or is it just at random?
Thank you so much,geno3141!
More info:
I tried different values of \(x\) up to \(10^8\)with a program and never was \(\frac{x^5-1}{x-1}\) a perfect square...
Can you find a proof?
thx
Now, can you prove that \(x=3\) is the ONLY value of \(x\) for which \(\frac{x^5-1}{x-1}\) is a perfect square??
Tysm.
What is your solution to this problem? I'm curious.
