A NOTE ON THE SUM OF THE FIRST n PRIMES

作者：Matomaki Kaisa^*

来源：The Quarterly Journal of Mathematics, 2010, 61(1): 109-115.

DOI：10.1093/qmath/han026

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).

• 出版日期2010-3