A1 Refereed original research article in a scientific journal

A NOTE ON THE SUM OF THE FIRST n PRIMES



Authors: Matomäki Kaisa

Publisher: OXFORD UNIV PRESS

Publication year: 2010

Journal: Quarterly Journal of Mathematics

Journal name in source: QUARTERLY JOURNAL OF MATHEMATICS

Journal acronym: Q J MATH

Number in series: 1

Volume: 61

Issue: 1

First page : 109

Last page: 115

Number of pages: 7

ISSN: 0033-5606

DOI: https://doi.org/10.1093/qmath/han026


Abstract
We show that the arithmetic mean of the first n primes is an integer for < N(19/24+epsilon) numbers n < N. This follows from showing that the discrepancy of the sequence consisting of the arithmetic means is < N(-5/24+epsilon).



Last updated on 2024-26-11 at 21:27