Search: id:A120936
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%I A120936
%S A120936 0,1,1,1,1,1,1,0,1,1,2,1,1,0,1,1,2,1,1,0,1,1,1,0,0,1,1,2,2,1,1,0,0,1,1,
%T A120936 1,1,1,1,2,2,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,2,2,2,1,1,0,1,1,1,1,2,1,2,2,
%U A120936 2,1,1,0,1,1,1,1,2,1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,2,1,2,2,2,1,2,1,2
%N A120936 Number of primes in the interval [n,n+log(n)].
%C A120936 Soundararajan states that, on average, there is one prime in the interval 
               [n,n+log(n)] for any number n. See A120934 for the prime n that yield 
               new records.
%H A120936 T. D. Noe, <a href="b120936.txt">Table of n, a(n) for n=1..5000</a>
%H A120936 K. Soundararajan, <a href="http://www.arXiv.org/abs/math.NT/0606408">
               The distribution of prime numbers</a>
%t A120936 Table[Length[Select[Range[n,n+Log[n]],PrimeQ]], {n,150}]
%Y A120936 Sequence in context: A100073 A075685 A037906 this_sequence A101675 A051764 
               A025906
%Y A120936 Adjacent sequences: A120933 A120934 A120935 this_sequence A120937 A120938 
               A120939
%K A120936 nonn
%O A120936 1,11
%A A120936 T. D. Noe (noe(AT)sspectra.com), Jul 21 2006

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