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Brun's constant is a mathematical value related to the twin prime conjecture. The twin prime conjecture states that there are infinitely many pairs of prime numbers that differ by two, such as 3 and 5, or 11 and 13.

In 1919, mathematician Viggo Brun demonstrated that the sum of the reciprocals of twin primes converges to a specific value, which is now known as Brun's constant. This is significant because the sum of the reciprocals of all prime numbers diverges to infinity. Brun's constant has been calculated to be approximately 1.902160583209. The calculation of Brun's constant has also led to the discovery of flaws in computer hardware, such as the Pentium chip flaw in 1994.

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  1. twin primes
  2. twin prime conjecture

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