A conjecture is basically a smart guess or a prediction that mathematicians make based on some patterns they’ve noticed. It’s like saying, “I think this is how it works, but I’m not 100% sure yet.”
For example: Imagine you keep adding up the numbers 1, 2, 3, and so on. You notice that the sum (total) always seems to be a multiple of 3. So, your conjecture could be that the sum of any consecutive numbers like 1 + 2 + 3 + … is always a multiple of 3. It’s not proven yet, but you have a hunch that it might be true.
That’s a conjecture in math!
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