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A083535 A version of the Chebyshev function theta(n): a(n) = ceiling(Sum_{primes p <= n } log(p)). 5

%I #11 Aug 02 2012 16:36:34

%S 0,1,2,2,4,4,6,6,6,6,8,8,11,11,11,11,14,14,17,17,17,17,20,20,20,20,20,

%T 20,23,23,27,27,27,27,27,27,30,30,30,30,34,34,38,38,38,38,41,41,41,41,

%U 41,41,45,45,45,45,45,45,50,50,54,54,54,54,54,54,58,58,58,58,62,62,66,66,66,66

%N A version of the Chebyshev function theta(n): a(n) = ceiling(Sum_{primes p <= n } log(p)).

%C See A035158, which is the main entry for this function.

%C The old entry with this sequence number was a duplicate of A083235.

%F a(n) ~ n by the prime number theorem. - _Charles R Greathouse IV_, Aug 02 2012

%K nonn

%O 1,3

%A _N. J. A. Sloane_, Oct 02 2008

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Last modified April 25 10:43 EDT 2024. Contains 371967 sequences. (Running on oeis4.)