A New Error Analysis for Brun ' s Constant
نویسنده
چکیده
Enumeration of the twin primes, and the sum of. their reciprocals, is extended to 3 x 1015 , yielding the count 1r2 (3 x 1015 ) = 3310517800844. A more accurate estimate is obtained for Brun 's constant, B2 = 1.90216 05823 ± 0.00000 00008. Error analysis is presented to support the contention that this estimate produces a 95 % confidence interval for B2 • In addition, published values of the count 1r(x) of primes, obtained previously by indirect means, are verified by direct count to x = 3 x 1015 . MATHEMATICS SUBJECT CLASSIFICATION 2000 (MSC2000) Primary: Secondary:
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تاریخ انتشار 2017