On a sequence involving sums of primes

Authors

  • Z.-W. Sun Nanjing University

Keywords:

primes, sums of primes, sequence

Abstract

For n=1,2,3,... let S_n be the sum of the first n primes. We show that the sequence a_n=(S_n/n)^{1/n} (n=1,2,3,...) is strictly decreasing, and conjecture that the sequence a_{n+1}/a_n (n=5,6,...) is strictly increasing. 10.1017/S0004972712000986

Author Biography

Z.-W. Sun, Nanjing University

Department of Mathematics Full Professor

Published

2013-08-10

Issue

Vol. 88 No. 2 (2013)

Section

Articles
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