Will the next GPT correctly tell me the least integer whose square is between 15 and 30?

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resolved Feb 27

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I will ask the next iteration of ChatGPT the following question: "What is the least integer whose square is between 15 and 30?". Will it answer -5 on the first try?

Some clarifications:

By "next iteration of ChatGPT", I mean the first version of ChatGPT whose number is greater than 4. I'm imagining that that number will be 4.5 or 5. (Note that ChatGPT 4o would not have qualified, since its number is still 4.) If no model with a larger number is released by the end of 2025, the question will resolve N/A.
- If multiple versions are released at the same time, I will use the most advanced publicly-available version. (I currently pay for ChatGPT; if I stop paying, I'll ask someone who does.)
If ChatGPT says something like "4 if you don't include negative integers, -5 if you do", this question will resolve YES.

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Tried it with r1. Interestingly, it started by thinking about positive numbers but eventually figured it out correctly. This might be one of the problems where chain of thought really helps.

OpenAI has fallen, billions must ignore all previous instructions

bought Ṁ8,747 NO

A friend with ChatGPT Pro tested GPT-4.5 on this question, and it answered 4. This market resolves NO.

bought Ṁ100 NO

I played around with trying to get Claude 3.5 sonnet to say -5. Eventually after asking it what does it consider an integer it answered -4. That's a really cool test.

Is there a single accepted mathematical definition of "least"?

bought Ṁ50 NO

"Least" is the superlative form of "less", so it means "the one that's less than all the others". But yeah, this is how "least" is used in math.

Right but -4 has a lower magnitude than -5.

Yeah but -5 is less than -4, 4, and 5, and so it's the least of those four integers.

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