Twin prime conjecture
Are there infinitely many pairs of primes that differ by 2?
Summary
Bounded gaps between primes have been proven since 2013, but not a gap of exactly 2 infinitely often.
Source
Open, as listed by Wikipedia · Landau’s problems. Checked 29 Sep 2026.
The status is the source’s. Papex does not decide whether a problem is solved.
Records on this problem
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