ChatGPT for programming

[pier4r]

(03-31-2023 01:26 AM)pascal_meheut Wrote:  - solve "is there n and m integers where 2^n = 10^m" and give the exact answer

I was intrigued by this and asked, likely my version is a bit more trolling that yours (I use the free account, I have the playground account of the API but I don't want to go there every time)

Quote:is there n and m integers where 2^n = 10^m ?

No, there are no integers n and m that satisfy the equation 2^n = 10^m.

To see why, note that 10 is not divisible by 2. In other words, there is no integer k such that 2k = 10. Therefore, we cannot express 10^m as a product of only 2's. However, 2^n is a product of only 2's, so it is impossible for 2^n to be equal to 10^m.

In fact, we can prove that the only common factors of 2^n and 10^m are 1 and 2. To see this, note that any factor of 10^m must contain at least one factor of 5, while any factor of 2^n must contain only factors of 2. Since 2 and 5 are relatively prime, the only common factors of 2^n and 10^m are 1 and 2.

Therefore, there is no integer n and m that satisfies the equation 2^n = 10^m.

I agree with the rest of the point that one should see the strong points of the solution and use those. For example natural language as I already said.
The Interview mockup is also interesting.