What is the smallest integer greater than 95,555, in which there will be 4 identical numbers?

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

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:

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.

[caption id="attachment_153836" align="alignnone" width="489"] Python code to find out the smallest integer that has 4 identical numbers and greater than 95,555[/caption]

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.

[caption id="attachment_153832" align="alignnone" width="822"] ChatGPT 3.5 Fails to Solve the Brainer Teaser / Math Question[/caption]

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.

[caption id="attachment_153833" align="alignnone" width="707"] ChatGPT 4 Needs to Improve Its Math Skills[/caption]

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

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

RESPONSE FROM WOLFRAM

"95999"

[caption id="attachment_153834" align="alignnone" width="808"] ChatGPT-4 uses Wolfram Math Plugin[/caption]

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

--EOF (The Ultimate Computing & Technology Blog) --

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

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