a conjecture
The Perpendicular bisector concurrency conjecture is the circumcenter
My conjecture (an opinion based on incomplete information) is that the product of two odd numbers is 22. There is no requirement for a conjecture to be true.
Hypothesis
Counter-example
a theorem
Never
It is a proposition that is believed to be true but has not [yet] been proven to be true. Clearly, if proven to be false it would no longer be a conjecture.
There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.
theorem
There are no proven dangers, only rumor and conjecture.
It is a proposition or a belief that has not yet been proven.
Theorem
There is need for a conjecture. It is an easily proven fact that an even number minus an even number is always an even number.
There have been many attempts to try and prove it but so far none of these succeeded
A conjecture is a belief or opinion based on incomplete information or guesswork. In mathematics, a conjecture is a statement that is believed to be true but has not been proven.
A statement that might be true (based on some research or reasoning), but is not proven. Like a hypothesis, but not stated in as formal, or testable, way. So a conjecture is like an educated guess. Example: I heard the sound of a plastic bag, so I conjecture there might be some food!