1
[see also: hypothesis] The conjecture will be disproved by exhibiting......
In addition to illustrating how our formulas work in practice, it provides a counterexample to Brown's conjecture.
The conjecture (now known not to be true in general) was that......
a long-standing conjecture
The as yet unproved conjecture of Newman is that......
Conjecture 2 of [KH], to the effect that [= meaning that] there is no relation P with E(P)=1, still remains open.
Some partial evidence to support this conjecture is discussed in [3].
We offer numerical evidence to support a conjecture that there exist infinitely many primes of this type.
All the evidence points to the validity of the conjecture.
How close does Theorem 1 come to this conjecture?
2
It is conjectured in [B3] that......