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 general Prime Patterns Conjecture corresponding to the set .

See also Brun's Constant, Prime Arithmetic Progression, Prime Constellation, Prime Patterns Conjecture, Twin Primes