On the sum of the first <Emphasis Type="Italic">n</Emphasis> primes being a square期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On the sum of the first <Emphasis Type="Italic">n</Emphasis> primes being a square

Authors:	F Luca

Institution:	(1) Instituto de Matemáticas, Universidad Nacional Autonoma de México, C.P. 58089, Morelia, Michoacán, México

Abstract:	Let p _n be the nth prime. In this note, we show that the set of n such that $\sum\nolimits_{i \leqslant n} {p_i }$ is a square is of asymptotic density zero. Published in Lietuvos Matematikos Rinkinys, Vol. 47, No. 3, pp. 301–306, July–September, 2007.

Keywords:	primes perfect squares applications of sieve methods
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