Papers › Improved Upper Bound on Brun's Constant Under GRH
Improved Upper Bound on Brun's Constant Under GRH
Lachlan Dunn
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Brun's constant is the summation of the reciprocals of all twin primes, given by B=∑_(p ∈P₂)( 1/p + 1/(p+2)). While rigorous unconditional bounds on B are known, we present the first rigorous bound on Brun's constant under the GRH assumption, yielding B < 2.1594.
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