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When will the Twin Prime Conjecture be resolved?

Conjecture: There are infinitely many primes p such that p + 2 is also prime.

In the last few years, the upper bound N for the statement “There are infinitely many primes that differ by at most N” has been reduced from 70,000,000 to 246. But when will we know whether N=2 or not?

When will the Twin Prime Conjecture be resolved?

The question is resolved positively when a proof that is mostly correct is published that demonstrates, beyond reasonable doubt of leading number theorists (except those who authored the relevant work), that the Twin Prime Conjecture is proved to be true or false. This question closes retroactively on the date of the proof’s publication when the consensus emerges. If the conjecture were proved to be undecidable in ZFC, the question resolves ambiguously.

An earlier question on the whether the Twin Prime Conjecture would resolve before 2016, needless to say, resolved negative.

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