Goldbach's Conjecture is that every even number greater than two can be expressed as the sum of two prime numbers. For example, 4 = 2 + 2, 6 = 3 + 3, 8 = 5 + 3, 10 = 7 + 3, 12 = 7 + 5, etc.
Although the conjecture has been checked up to very large values and many weaker results have been proved, the conjecture remains open. Because it is so well-known and easily understood, it is frequently the subject of mistaken "proofs" by amateur mathematicians.
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A conjecture is an opinion based on incomplete information, or a guess. It need not be true - or even sensible. So my conjecture is that the sum of two fractions is greater than three quarters. That is a nonsensical conjecture, but it is a conjecture and that is what the question requires.
A conjecture is a proposition that is unproven but appears correct and has not been disproven.
A misspelling of conjecture.
You can make whatever conjecture that you want: it does not have to be true or even logical. You could conjecture that the relationship is like the one between the Sun and the Earth!
The difference between a hypothesis and a conjecture is that a hypothesis is something investigated or accepted as highly probable in the light established facts and a conjecture is the formation or expression of an opinion or theory without sufficient evidence for proof.