ChatGPT-4 uses Math Wolfram Plugin to Solve a Math Brain Teaser Question

This post, we look at a simple Math question (Brain Teaser), and we solve it by Python. We take a look at the LLM (Large Language Model): ChatGPT3.5, and ChatGPT4. With ChatGPT-Plus Subscription (Currently $20 per month + VAT), we can enable the Plugins for ChatGPT-4, thus, we also take a look at the ChatGPT-4 with the Wolfram Plugin.

The Math Question: Smallest Integer Greater Than 95,555 and Having 4 Identical Digits

What is the smallest integer greater than 95555, in which there will be 4 identical numbers? The answer is 95999

TLDR; The answer is 95999.

Python Solution

Let’s verify using the Computer Program. The following Python Code tries next number from 95,556 until it finds a number that contains 4 identical numbers:

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from collections import Counter
 
x = 95555
while True:
    x += 1
    counter = Counter(str(x))
    if max(counter.values()) == 4:
        print(x)
        break

from collections import Counter

x = 95555
while True:
    x += 1
    counter = Counter(str(x))
    if max(counter.values()) == 4:
        print(x)
        break

The output is 95999.

Python code to find out the smallest integer that has 4 identical numbers and greater than 95,555

ChatGPT-3.5 Attempting to Solve the Math Brain Teaser Question

The ChatGPT3.5 isn’t clever enough to figure this out, and it makes obvious mistakes but pretends it is correct.

ChatGPT 3.5 Fails to Solve the Brainer Teaser / Math Question

ChatGPT-4 Needs some Hints

ChatGPT-4 is a little bit better, it finds 96666 the second attempt after I pointed out the mistake for its first answer 95666.

ChatGPT 4 Needs to Improve Its Math Skills

ChatGPT-4 Plus the Math Wolfram Plugin

ChatGPT-4 with Plugins enabled can solve the problem by querying the Math Wolfram Plugin with the following request.

REQUEST TO WOLFRAM

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{
  "input": "nextNumber = 95556; While[Count[IntegerDigits[nextNumber], _?(# == Max[IntegerDigits[nextNumber]] &)] != 4, nextNumber++]; nextNumber"
}

{
  "input": "nextNumber = 95556; While[Count[IntegerDigits[nextNumber], _?(# == Max[IntegerDigits[nextNumber]] &)] != 4, nextNumber++]; nextNumber"
}

RESPONSE FROM WOLFRAM

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"95999"

"95999"

ChatGPT-4 uses Wolfram Math Plugin

It solves the problem, but technically, it is not ChatGPT but Wolfram who solves the question.

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–EOF (The Ultimate Computing & Technology Blog) —