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A statement which appears to be true but has not been proven to be so, is a postulate.
Neither. A theorem is a proven mathematical statement. This says nothing about how easily it can be proven. e.g. the Pythagorean Theorem is easily proven, but Fermat's Last Theorem is extremely difficult to prove.
It must be proven to be true by several different individuals not known to each other.
In maths, a conjuncture is a theory or statement which is most likely true but not yet proven.