ON THE SUM OF THE FIRST n PRIMES

dc.contributor.author	Cilleruelo, J
dc.contributor.author	Luca, F
dc.date.accessioned	2011-01-22T10:25:55Z
dc.date.available	2011-01-22T10:25:55Z
dc.date.issued	2008
dc.identifier.issn	0033-5606
dc.identifier.uri	http://hdl.handle.net/11154/938
dc.description.abstract	In this note, we show that the set of n such that the arithmetic mean of the first n primes is an integer is of asymptotic density zero. We use the same method to show that the set of n such that the sum of die first n primes is a square is also of asymptotic density zero. We also prove that both the arithmetic mean of the first n primes as well as the square root of the sum of the first n primes are well distributed modulo 1.	en_US
dc.language.iso	en	en_US
dc.title	ON THE SUM OF THE FIRST n PRIMES	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	652
dc.identifier.doi	10.1093/qmath/ham055
dc.source.novolpages	59:475-486
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.relation.journal	Quarterly Journal of Mathematics