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.