a theorem
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.
A conjecture is an unproven statement or hypothesis that is proposed based on observations or patterns. When a conjecture is proven true through logical reasoning or mathematical proof, it becomes a theorem. For example, the conjecture that "the sum of the angles in a triangle is always 180 degrees" is a statement that can be proven true in Euclidean geometry.
There have been many attempts to try and prove it but so far none of these succeeded
To provide a specific answer, I would need more context about the conjecture in question. Generally speaking, a conjecture is an educated guess or hypothesis that is based on observations but has not yet been proven. It often suggests a relationship or pattern that researchers believe may hold true in a particular area of study. If you can provide more details about the conjecture you are referring to, I can give a more tailored response.
A counterexample to the conjecture is when three parallel lines lie in the same plane. In this case, none of the lines intersect at any point, demonstrating that it is possible for three lines in the same plane to not intersect at all. Therefore, the conjecture is proven false.
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
A conjecture is an unproven statement or hypothesis that is proposed based on observations or patterns. When a conjecture is proven true through logical reasoning or mathematical proof, it becomes a theorem. For example, the conjecture that "the sum of the angles in a triangle is always 180 degrees" is a statement that can be proven true in Euclidean geometry.
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 conjunction is a part of speech that connects parts of a sentence. And, but and yet are examples of conjunctions.