Conjecture is a feminine noun meaning a judgment or opinion with uncertain foundation, or a deduction of an event that could happen in the future, based on a presumption.
A conjecture can be the act of inferring something, based on an unconfirmed source, such as intuition or hunch. Some synonyms for conjecture can be: hypothesis, assumption, presumption, prognosis, etc. Ex: The football player made several conjectures about the next match.
This word can be written in two ways, conjecture or conjecture, both of which have the same meaning.
Mathematical Conjecture
The word conjecture is related to mathematics, in which case a conjecture is a hypothesis (hypothesis is a synonym for mathematical conjecture) that mathematicians believe to be true, but which has not yet been proven.
Some of the best known conjectures are: Poincaré Conjecture (one of the biggest problems in 20th century Mathematics, solved by the Russian mathematician Gigori Perelman), twin cousins conjecture, Goldbach's Weak Conjecture
(demonstrated by Peruvian mathematician Harald Helfgott), Birch and Swinerton-Dyer Conjecture.