Unexpected biases in the distribution of consecutive primes.
Proc Natl Acad Sci U S A
; 113(31): E4446-54, 2016 08 02.
Article
em En
| MEDLINE
| ID: mdl-27418603
ABSTRACT
Although the sequence of primes is very well distributed in the reduced residue classes [Formula see text], the distribution of pairs of consecutive primes among the permissible Ï(q)(2) pairs of reduced residue classes [Formula see text] is surprisingly erratic. This paper proposes a conjectural explanation for this phenomenon, based on the Hardy-Littlewood conjectures. The conjectures are then compared with numerical data, and the observed fit is very good.
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MEDLINE
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Ano de publicação:
2016
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Article