Twin Prime Conjecture
Adding a correction proportional to 
to a computation of Brun's Constant ending with 
will give an estimate with error less than 
. An extended form of the conjecture states that
where
is the Twin Primes Constant. The twin prime conjecture is a special case of the more generalPrime Patterns Conjecture corresponding to the set 
.See also Brun's Constant, Prime Arithmetic Progression, Prime Constellation, Prime PatternsConjecture, Twin Primes- Topological Space
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