The Differences Between Consecutive Primes, V
نویسندگان
چکیده
منابع مشابه
The Difference between Consecutive Primes, Ii
With enough effort, the value of x0 could be determined effectively. The paper has much in common with [1]; in particular we use the sieve method of Harman [4, 5]. We no longer use zero density estimates, however, but rather mean value results on Dirichlet polynomials similar to those that give rise to such estimates. Compare, for example, work of Iwaniec and Pintz [9] and Baker, Harman and Pin...
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For any real x, the most common difference that occurs among the consecutive primes less than or equal to x is called a jumping champion. This term was introduced by J. H. Conway in 1993. There are occasionally ties. Therefore there can be more than one jumping champion for a given x. The first, but short-lived, jumping champion is 1. Aside from the numerical studies, nothing else has been prov...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2019
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnz295