I just asked chatgpt whether 3442177452 is prime. It insisted that 58657 is a factor (it's not) on the basis that it's the largest prime less than or equal to the square root (which I think is correct but irrelevant), and even though it gave a non zero remainder when dividing the two numbers (I did not check if the remainder is correct). Then it gave a (wrong) factorisation, not even using 58657. It's cool and it wil…
Using your number as a jumping off point, I went down a very entertaining rabbit hole with ChatGPT just now. I will not paste the whole dialogue here, but I would like to assure everyone that I made no attempt to mislead ChatGPT in any way. I simply attempted to draw out its knowledge, and questioned it Socratically along the way. Select responses are quoted below. The first thing I did was ask it about the prime fac…
In other words, mathematics or arithmetic is not highly encoded in language. It's not that nobody can think of these tests, it's that they don't say what you imagine they do. A poor understanding of math is simply that...a poor understanding of math. General understanding is not binary. You can understand some things well and not understand others.
That is one. 2, people really need to start doing these gotcha tests on GPT-4. It's just much better across the board. And has a much better understanding of arithmetic than chatGPT.