[mike00632]

I just asked Chat GPT 3.5 the following: "Please give an exponential equation that has integer solutions which is difficult to solve.", and the response is: "

Certainly, here's an exponential equation that can be challenging to solve for integer solutions:

2^x+3^y=7^z

This equation involves three variables, x, y, and z, and requires finding integer values for these variables that satisfy the equation. This type of equation is known as a Diophantine equation, and solving it can be quite challenging, especially for larger values of x, y, and z.

"

[crdrost]

That's quite the nerd snipe.

I mean, it's definitely not a Diophantine equation and solving it is definitely not challenging -- (2, 1, 1) happens to be an easy solution -- but I want to say it probably doesn't have any other solutions but I don't see a great way to prove it...

[shinycode]

Can it reason about a math problem that no human ever thought about and solve it ?

[famouswaffles]

Reasoning about a math problem that no human has ever thought about and solving it is the bar for understanding now ? Can you do that ?