My conjecture is that the sum is 67. A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.
The Poincaré Conjecture.
One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.
One possible conjecture is that the product of two odd integers is 8. A conjecture does not have to be true, nor does it have to be sensible. It must be testable, though. Many conjectures were initially thought to be sensible and true but later proven to be false. And when the false nature is fully understood, in retrospect they no longer appear sensible either!
One possible conjecture is that each square number up to 1000 has 4 factors. The conjecture is manifestly false, but it is still a conjecture.
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
My conjecture is that the sum is 67. A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.
The future tense of "conjecture" is "will conjecture."
a conjecture
The Poincaré Conjecture.
One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.
A conjecture is a guess, theory, hypothesis, or proposition.
One possible conjecture is that the product of two odd integers is 8. A conjecture does not have to be true, nor does it have to be sensible. It must be testable, though. Many conjectures were initially thought to be sensible and true but later proven to be false. And when the false nature is fully understood, in retrospect they no longer appear sensible either!
The word "conjecture" is a noun. It refers to an opinion or conclusion based on incomplete information.
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.
One possible conjecture is that each square number up to 1000 has 4 factors. The conjecture is manifestly false, but it is still a conjecture.
A conjecture is a proposition that is unproven but appears correct and has not been disproven.