In mathematics, a conjecture is a mathematical statement which appears to be true, but has not been formally proven. A conjecture can be thought of as the mathematicians way of saying “I believe that this is true, but I have no proof yet”. A conjecture is a good guess or an idea about a pattern.
For example, make a conjecture about the next number in the pattern 2,6,11,15... The terms increase by 4, then 5, and then 6. Conjecture: the next term will increase by 7, so it will be 17+7=24.